At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 150 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
A. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
B. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.

Answers

Answer 1

Solution :

Here we can use the Binomial distribution, as there are only two possible outcomes.

The given data:

n = 150

q = 98%

  = 0.98

p = probability of not finding relief = 1 - 0.98

                                                         = 0.02

A). The number of the individuals who do not find any relief from sinusitis is  :

E(x) = np

      = 150 x 0.02

      = 3

B). The uncertainty of my estimate is = [tex]$\sqrt{npq}$[/tex]

                                                              [tex]$=\sqrt{150 \times 0.02 \times 0.98}$[/tex]

                                                              = 1.716


Related Questions

PLEASE ANSWER ASAP !!! 90 POINTS AND BRAINLIEST!!!!!!!
( -5) + (+8) =
(+5) + (+4) =
( -3) + (+1) =
( -8) + ( -7) =
( -6) + (+3) =

Answers

Answer:

-5+8=-3

5+4=9

-3+1=-2

-8+-7=-15

-6+3=-3

Answer:

( -5) + (+8) = 3

(+5) + (+4) = 9

( -3) + (+1) = - 2

( -8) + ( -7) = - 15

( -6) + (+3) = 7

y-step explanation:

hope this helps!! and is it right? and make me brainliest pleaseee

Charlie made hamburgers
for his family and they
each had a diameter of 7
cm. If he made 12
hamburgers. What is the
total area for all 12?

Answers

Answer:

461.58

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

4(q+6) expanded
eeeeeeeeeeeeeeee

Answers

Answer:

expanded version of 4(q+6) should be 4q+24

Step-by-step explanation:

just multiply 4 and q, 4 and 6. and add it.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{4(p + 6)}[/tex]

[tex]\huge\text{DISTRIBUTE 4 WITHIN the PARENTHESES}[/tex]

[tex]\huge\textsf{4(p) + 4(6)}[/tex]

[tex]\huge\textsf{4(p) = \boxed{\bf 4p}}\huge\checkmark[/tex]

[tex]\huge\textsf{4(6) = \boxed{\bf 24}}\huge\checkmark[/tex]

[tex]\huge\checkmark\boxed{\huge\textsf{\bf 4p + 24}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 4p + 24}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help meeeeeeeeeeeee

Answers

Answer:

The first one is D and the second one is B

Step-by-step explanation:

The first is D because the volume of a cylinder is v = π (pi) times the radius squared times the height of the cylinder.

so (π)(16^2)(7) =5629.73 ft^3

Then 1 ft^3 is = 7.5 gallons of water, so you multiple 5629.73 by 7.5 and round. Which gets you 42223

Find the value of x.
6
14
3x-12
21
x = [?]

Answers

...............................7

brookside grocery sponsored a team in the local charity run. the ages of the runners are shown below. 35, 23, 45, 21, 18, 19, 54, 46, 37 , 25, 29, 18, 33, a histogram is made using the runner's age which quantity best represents the bar on the histogram that shows the age range 25 through 34​

Answers

Answer:

C

Step-by-step explanation:

Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 A. 32.5 B. 33 C. 31.5 O O D. 31 SUBM​

Answers

Answer:

32.5

Step-by-step explanation:

median is the middle number, in this case the sum of the two middle number divided by 2

31 + 34 = 65/2

32.5

Answer:

33

Step-by-step explanation:

I need this please help me

Answers

Answer:

s' = (3,2) t' = (2,4) u' = (1,1)

Step-by-step explanation:

can i have brainliest plz

The circumcenter is the center of the __________ circle.
Question 2 options:

A)

obtuse

B)

circumscribed

C)

inscribed

D)

congruent

Answers

The answer is B: circumscribed

Can I get help please????

Answers

The answer will be HL

HELPPPPP! Tamlin collects action figures and has 2 more female action figures than male action figures. He chooses two action figures randomly. Write and simplify an expression that represents the probability that Tamlin will pick two female action figures without replacing the first action figure. Let x be the number of male action figures.

Answers

Answer:

x+2/2(2x+1)

Step-by-step explanation:

Tamlin has x male action figures and x + 2 female action figures, so a total of x + x + 2, or 2x + 2 action figures. The probability of picking two female action figures without replacement is equal to the product of the probability of

-picking 1 female action figure from the total number and

-picking 1 female action figure after 1 has been removed.

The probability of picking 1 female action figure from the total is equal to the total number of female action figures divided by the total number of action figures.

The probability of picking 1 female action figure after 1 has been removed is equal to the total number of female action figures minus 1 divided by the total number of action figures minus 1.

Multiply these two expressions and simplify.

Answer:

The answer is x+2/2(2x+1)

How much is 1/3 cup of butter equivalent measurement? ​

Answers

Answer: equal 5 tablespoons plus 1 teaspoon butter.

Step-by-step explanation:

Answer:

1/3 cup would equal 5 tablespoons plus 1 teaspoon butter

Step-by-step explanation:

i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!

You moved 7 units left, 8 units up, and ended at point W
Where did you begin?
OA) (1.8)
OB) (9.1)
OC) (81)
OD) (9.8)
Please help me I’m tired

Answers

Answer:

C. (8,1)

Step-by-step explanation:

Judy bought 20 apples at the store, and the total weight was 2 kilograms. If the apples all had about the same weight, how much did each apple weigh?
100 grams
200 grams
2,000 grams
500 grams

Answers

Answer:

100 grams

Step-by-step explanation:

Because I listened to someone on this question with the answer being 200 grams but it was wrong and the correct answer is 100 grams.

What is the value of b in ax - by = -5

A. b= (ax-5)/y
B. b= 5-ax
C. b= ax-5y
D. Cant isolate b

Answers

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

Find the surface area of the Triangular prism.

A = bh

A = 1/2(bh)

Answers

Answer:

Surface area of triangular prism =1/2(bh)

=1/2(3*4)

=6

express -17/8 in decimal form

Answers

Answer:

-2.125

Step-by-step explanation:

- If A = 2x + 4 and B = 5x – 10 what is the value of
B-A?

Answers

Answer:

3x - 14

Step-by-step explanation:

5x-10 - (2x+4)

= 5x - 10 -2x - 4

=3x-14

16. Under the Christmas tree at my house, there are five presents for my wife, three presents for me, and 8
presents for my son. (Hint: How many packages are under the tree in total?)
a) What percentage of the presents are for my wife?
b) What percent of the presents are for my son?
c) What percent of the presents are for me?

Answers

Answer:

a) 31.25%

b) 50%

c) 18.75%

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
A. 10
B. 13
C. 31
D. 34

Answers

9514 1404 393

Answer:

  C.  31

Step-by-step explanation:

The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:

  f(n) = f(4) +d(n -4)

  f(n) = 22 -3(n -4) = 34 -3n

Substituting n=1 into this formula, we get ...

  f(1) = 34 -3(1) = 31

The first term is f(1) = 31.

Answer:

31

Step-by-step explanation:

It takes 3 hour 15 minutes to fly from city a to city b at constant speed. Find how long the journey takes if
A) the speed is 1×1÷2 times of the original speed and
B) if the speed is three-quarters of the original speed.

Answers

Answer:

a) t= 2hours and 10 minutes

b) t=4hours and 20 minutes

v1t1=v2t2

Answer:

Step-by-step explanation:

rate = distance / time     distance is constant (a-b) so call it D

time = distance / rate      rate = speed (ie miles per hour = mph)

time = distance / speed      

A)  if the new speed is 1.5 of the original speed    

     original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/1.5       find new time

         3.25 is to D   as    new time is to  D/1.5

            3.25/D = new time / D/1.5                   multiple D/1.5 on both sides

            (3.25/D) ( D/1.5)      = new time           the distance D cancels

            3.25 (D / D) / 1.5   = new time

            3.25 / 1.5  = 2.167 hours   or 2 hours and 10 minutes

B)   if the speed is 3/4 the original speed

original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/(3/4)       find new time

         3.25 is to D   as    new time is to  D/0.75

            3.25/D = new time / D/0.75                       multiple D/0.75 on both sides

            (3.25/D) ( D/0.75)      = new time

            3.25 (D / D) / 0.75     = new time

            3.25 / 0.75  = 4.333 hours   or 4 hours and 20 minutes

Find the slope of a line that contains the two points 0, 1 and 1, 3

Answers

Answer:

The slope is 2.

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs:

m = 3 - 1 / 1 - 0

m = 2/1

Simplify:

m = 2

What is the answer to this question

Answers

61 a right angle is 90 degrees and since one angle is 29 the other is 61 and 61+29+90=180 which is a triangles total

Allison and Sean were splitting nachos. If Allison ate 5/12 of the nachos and Sean ate 1/5 of the nachos, what fraction of the nachos did they eat together?

Answers

Answer:

thank for points

Step-by-step explanation:

Answer:

37/60

Step-by-step explanation:

Because 5/12+1/5=37/60

What is the slope of the line that passes through the points (-2,-3), and (5, 4)?

a. 3
b. -1
c. 1
d. -3

Answers

Answer:

I believe its A

Step-by-step explanation:

A. 3

Hope this helps

Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.

PLEASE ANSWER AS SOON AS POSSIBLE

Answers

Answer:

$405,44

Step-by-step explanation:

First of all we have to find how much the tv cost after 15% of discount.

we can use this proportion

15 : 100 = x : 499.99

x = (15*499.99)/100 = $74.9985

then we have to subtract the initial value to the value of the discount

499.99-74.9985 = $424,9915

thanks to the card we can apply another 10%

10 : 100 = x : 424,9915

x = (424,9915 *10)/100 = $42,49915

424,9915-42,49915 = $382,49235

now we have to apply taxes

6:100 = x : 382,49235

x = $22,949541

382,49235 + 22,949541 = $405,441891

that can be rewrite as $405,44

If we want to write an equation to solve this problem we can use this

499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x

Every year in the United States the public transportation reports a number of alcohol related and non alcohol related highway deaths from 2001 to 2010

Answers

Answer:

dam

Step-by-step explanation:

g(x) = 3x2 – 2x + 7 2x + 5 Find g(-1)​

Answers

Answer:

2x+5= g(−1)=12

Step-by-step explanation:

Simplify is simple

Mr. Antle is trying to find the median temperature of Portland. If the Histogram is the only information he is given, which range of temperatures most accurately the median temperature?

A. 4-7
B. 7-9
C. 10-12
D. 1-3

Answers

Eeéeeeeeeeeeé KCc heck is eh KCc we if wd if weed

Other Questions
Identify Militarism and its effect on Europe. Militarism is the aggressive strengthening of the school system. Nations raced to build up their schools and formed committees with parents. Militarism is the aggressive strengthening of Peace Corps. Nations raced to build up their armed forces and formed military alliances. Militarism is the aggressive downgrading of the armed forces. Nations raced to eliminate their armed forces and formed organizations to promote peace and love throughout Europe. Militarism is the aggressive strengthening of armed forces. Nations raced to build up their armed forces and formed military alliances. Can someone please help me with math. What is another name for the part of the ear on the outside of the head?Eustachian tube.hammer.pinna.cochlea. Could someone help me? Will mark brainlist! What does perception mean Solve for X. Will give brainliest! The war with Mexicoa resulted in a large portion of territorial land going to Mexico.b. resulted in the addition of territorial New Mexico to the U.S.Chad no real impact on the history of the U.S.d. happened after the Civil War.Please select the best answer from the choices provided Find the surface area of the prism or pyramid. Round to the nearest whole number if necessary. A toy store manager boxes up dice. Each die weighs the same number of grams and the equation y=20x represents the total weight, y, in grams, of a box when filled with x die. Which graph correctly represents the proportional relationship between the weight and number of die in a box? Which is the holy book of Christianity?A. the SutrasB. the BibleC. the KoranD. the Torah Can someone please help me with this is area of circles Which statement best describes the Fourteenth Amendment?It granted citizenship to all individuals living in the United States.It enfranchised all male citizens and gave them the right to vote.It prevented states from denying citizens equal protection under the law.It allowed states to seize citizens property without due process of the law. What are Neurological disorders?Quick Friends of the earth essay Simplify the following expression:10x 9x + 1 Whats the median of 70,77,80,81,82,87,88 Who would play you in a movie about your life?(I ACTUALLY NEED THIS DON'T TAKE IT DOWN!!) Sort the following features by the document they apply to.declared national laws to be more powerful than statelawsforbade states from printing or coining moneydid not allow Congress to regulate foreign trade or tradebetween statesallowed Congress to tax imports and exportsfunded Congress through voluntary contributions fromthe statesallowed states to print and coin moneyThe Articles of ConfederationThe Constitution The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?A): dealer costB): shipping costC): manufacturing costD): sales commission HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP What is the approximate perimeter of the trapezoid shown?