Question: Question 9 A simple random sample of 100 students at UH indicated that 86% of them are involved in some type club. Find the 98%

Question 9

A simple random sample of 100 students at UH indicated that 86% of them are involved in some type club. Find the 98% confidence interval that estimates the true proportion of UH students that are involved in a club.

a)[0.699, 0.941]

b)[0.829, 0.834]

c)[0.779, 0.941]

d)[0.679, 0.891]

e)[0.779, 0.741]

f)None of the above

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Question 10

Given:

P(E) = 0.38, P(F) = 0.51, and P(E F) = 0.73

Find P(E F).

a)0.81

b)0.19

c)0.84

d)0.27

e)0.16

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Question 11

Given:

P(E) = 0.33, P(F) = 0.44, and P(E F) = 0.18

Find P(E | F).

a)0.55

b)0.41

c)0.15

d)0.85

e)0.59

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Question 12

The probability that a student correctly answers on the first try (the event A) is P(A) = 0.4. If the student answers incorrectly on the first try, the student is allowed a second try to correctly answer the question (the event B). The probability that the student answers correctly on the second try given that he answered incorrectly on the first try is 0.1. Find the probability that the student answers the question on the first or second try.

a)0.50

b)0.04

c)0.46

d)0.96

e)0.54

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Question 13

A quarter back completes 38% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. Determine the probability that it takes more than 15 attempts before he completes a pass.

a)0.9997

b)0.0222

c)0.9992

d)0.0002

e)0.0007

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