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Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers...

Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers enter the store, and that they make independent purchasing decisions.

(a) Let X be the number, out of the 10 customers in the store, who will make a purchase. Write the binomial probability density function for this situation.

(b) Use the binomial distribution to calculate the probability exactly 5 customers make a purchase.

(c) Find the probability that 4 or fewer customers make a purchase.

(d) Find the probability that 7 or more customers make a purchase.

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Expert Solution

Solution:

We are given:

(a) Let X be the number, out of the 10 customers in the store, who will make a purchase. Write the binomial probability density function for this situation.

Answer:

(b) Use the binomial distribution to calculate the probability that exactly 5 customers make a purchase.

Answer: We have to find

(c) Find the probability that 4 or fewer customers make a purchase.

Answer: We have to find

  

(d) Find the probability that 7 or more customers make a purchase.

Answer:

milcah answered 1 year ago
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