Question

c. A telephone call center makes marketing calls to promote a new product. Assume this center...

c. A telephone call center makes marketing calls to promote a new product. Assume this center calls 400 people. And, the probability of purchase for each person is 0.06. Find the probability of obtaining more than 25 customers who are willing to buy this new product.  
Math   Statistics-And-Probability   
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Answer #1

The number of customers who are willing to buy this new product, follows Binomial distribution with number of trials 400, and probability of success 0.06.

Therefore Mean of number of customers is

Standard deviation is

We use normal approximation to binomial distribution

We define the standard random variable z as

where X denotes number of customers

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