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Is the binomial distribution appropriate for the following situation: Joe buys a

ID: 3176227 • Letter: I

Question

Is the binomial distribution appropriate for the following situation: Joe buys a ticket in his state's "Pick 3" lottery game every week: X is the number of times in a year that he wins a prize. Yes No Cannot determine from information given Five percent of the eyeglasses sold at an optical retailer have tinted lenses. Forty pairs of glasses are sold on a particular day and six have tinted lenses. Identify n.p. and x. n = p = x = Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are stopped at random what is the probability that exactly four are wearing a seatbelt? (Round your answer to 4 decimal places) In a certain college, 33% of the physics majors belong to ethnic minorities. If 8 students are selected at random from the physics majors, what is the probability that more than 5 belong to an ethnic minority? 0.9154 0.0659 0.0187 0.0046 A samples stress. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 decimal place) A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the standard deviation of the number of people that test positive for the HIV virus? (Round your answer to 1 decimal place)

Explanation / Answer

Question 1

Is binomial distributation approximate for the following situation:

Joe buys a ticket in his state's "pick 3" lottery game every week, X is the number of times in a year that he wins a prize

Ans :- Cannot determine from information given

Question 2

Five percent of the eye glass sold at an optical retailer have tinted lenses. Forty pairs of glasses are a sold on a particular day and six have tinted lenses. Identify n,p and x.

n = 40

p = 0.05

x = 6

Question 3

only 35% of the drivers in a perticular city wear seat belts. Suppose that 20drivers are stoped at random what is probability that exactly 4 are wearing a seatbelt?

Ans :-

0.0738

Question 4

In a certain college 33% of the physics majors belongs to ethnic minorities. If 8 students are selected at random from the physics major, what is the probability that more than 5 belongs to an ethnic minority?

Ans - 0.0659

Question 5

A laboratory worker finds that 3% of his blood samples test positive for HIV virus. In a random sample of 70 blood tests, what is the mean number that tests positive for the HIV virus?

Ans - 2.1

Question 6

A laboratory worker finds that 3% of his blood samples test positive for HIV virus. In a random sample of 70 blood tests, what is the standard deviationof the number of people that tests positive for the HIV virus?

Ans - 1.4

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