1.A company is planning to ship a box of items where some of the items are defective. Which of the following probabilities of an item being defective will allow you to use normal approximation to binomial to calculate the probability that 10 of the 40 randomly selected items are defective? a. 0.1 b. 0.8 c. 0.95 d. 0.05 2.In the above problem, assume that probability of an item being defective is 0.1. Then in a random sample of 60 such items, how do you apply continuity correction to calculate the probability that at least 5 items are defective? a. P(X is at least 5)=P(X<5.5) b. P(X is at least 5)=P(4.54.5) d. P(X is at least 5)= P(X>5) 3. What is the probability in problem 2 using normal binomial approximation? a. 0.2578 b. 0.4129 c. 0.5871 d. 0.7422

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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1.A company is planning to ship a box of items where some of the items are defective. Which of the following probabilities of an item being defective will allow you to use normal approximation to binomial to calculate the probability that 10 of the 40 randomly selected items are defective?

a. 0.1

b. 0.8

c. 0.95

d. 0.05

2.In the above problem, assume that probability of an item being defective is 0.1. Then in a random sample of 60 such items, how do you apply continuity correction to calculate the probability that at least 5 items are defective?

a. P(X is at least 5)=P(X<5.5)

b. P(X is at least 5)=P(4.5<X<5.5)

c. P(X is at least 5)= P(X>4.5)

d. P(X is at least 5)= P(X>5)

3. What is the probability in problem 2 using normal binomial approximation?

a. 0.2578

b. 0.4129

c. 0.5871

d. 0.7422

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