. A pet store owner is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets and thinks thatshe might be able to replace the clothes with more profitable items. Before making a finaldecision, she decides to keep track of the total number of customers for a day and whetherthey purchase specialty clothes. a. The owner had 275 customers that day.Assuming this was a typical day for her store, what would be the mean and standard deviation of the number of customers who buy specialty clothes for their pets each day? b. Could we use a normal distribution to approximate the binomial distribution in thiscase? c. What is the probability of less than 9 customers purchasing specialty clothes for theirpets that day? d. What is the probability of more than 18 customers purchasing specialty clothes fortheir pets that day? e. Assuming that 18 customers bought specialty clothes on the specified day, the owner thought that her 4% estimate must have been too low.Provide reasoning for agreeingor disagreeing with the statement?
3. A pet store owner is trying to decide whether to discontinue selling specialty clothes for pets.
She suspects that only 4% of the customers buy specialty clothes for their pets and thinks thatshe might be able to replace the clothes with more profitable items. Before making a finaldecision, she decides to keep track of the total number of customers for a day and whetherthey purchase specialty clothes.
a. The owner had 275 customers that day.Assuming this was a typical day for her store,
what would be the mean and standard deviation of the number of customers who buy
specialty clothes for their pets each day?
b. Could we use a
c. What is the probability of less than 9 customers purchasing specialty clothes for theirpets that day?
d. What is the probability of more than 18 customers purchasing specialty clothes fortheir pets that day?
e. Assuming that 18 customers bought specialty clothes on the specified day, the owner
thought that her 4% estimate must have been too low.Provide reasoning for agreeingor disagreeing with the statement?
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