16) In a batch of 6,000 clock radios 1% are defective. A sampl e of 15 clock rad

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16) In a batch of 6,000 clock radios 1% are defective. A sampl e of 15 clock radios is randomly selected without m the 6,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probablity that the entire batch will be rejected? Explain your responses. 17) Consider two events, A and B, such that P(A)-0.75, P(B)-0.35, and P(A and B)-0.25. Are events A and B independent? Show mathematically. Solve the problem. 18) There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible? B) 56 C) 6720 D) 32,768 A) 120 from?

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17) When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring.

To test whether two events A and B are independent, calculate P(A), P(B), and P(A B), and then check whether P(A B) equals P(A)P(B). If they are equal, A and B are independent.

Here,

P(A) = 0.75

P(B) = 0.35

P(A B) = 0.25

P(A) * P(B) = 0.75 * 0.35 = 0.2625

Thus, P(A) * P(B) not equal to P(A B). Thus, dependent

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