question archive Interviews will be conducted in a large shopping mall to obtain customers' opinions

Interviews will be conducted in a large shopping mall to obtain customers' opinions

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Interviews will be conducted in a large shopping mall to obtain customers' opinions. Four customers will be randomly selected for this interview. According to the observations, 45% of all customers are male. Use X to denote the number of males in a sample of 4 randomly selected customers, X - Bin (n, p).

(a) What are the values of n and p?

(b) What is the probability that among the 4 selected customers, there is exactly 1 male?

(c) What is the probability that among the 4 selected customers, there are more female than male?

(d) The interview will be repeated regularly, each time will interview 4 randomly selected customers. What is the average number of male customers in a sample?

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