2. ABC Bicycle Shop in Ottawa sells mountain bikes and offers a maintenance program to its customers. The manager has found the repair bill during the gmainte- DAnce program's first year to follow a distribution with mean $15.30 and standard deviation $7.00. (a) What is the probability a random sample of 40 customers will have a mean repair cost exceeding $16.00? (b) What is the probability the mean repair cost for a sample of 100 gys- tomers, will be between $15.10 and $15.80? (c) The manager has decided to offer a spring special. He is aware of the mean and standard deviation for repair bills last year. Therefore, he has decided to randomly select and repair the first 50 bicycles for $14.00 each. Since this is a risky thimg to do, the manager wants to know the probability that the spring

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2. ABC Bicycle Shop in Ottawa sells mountain bikes and offers a maintenance
program to its customers. The manager has found the repair bill during the mainte-
nance program's first year to follow a distribution with mean $15.30 and standard
deviation $7.00.
(a) What is the probability a random sample of 40 customers will have a
mean repair cost exceeding $16.00?
(b) What is the probability the mean repair cost for a sample of 100 gus-
tomers, will be between $15.10 and $15.80?
(c) The manager has decided to offer a spring special. He is aware of the
mean and standard deviation for repair bills last year. Therefore, he has decided
to randomly select and repair the first 50 bicycles for $14.00 each. Since this is
a risky thing to do, the manager wants to know the probability that the spring
special offer would lead him to have a net loss. Please calculate the probability
for him.
Transcribed Image Text:2. ABC Bicycle Shop in Ottawa sells mountain bikes and offers a maintenance program to its customers. The manager has found the repair bill during the mainte- nance program's first year to follow a distribution with mean $15.30 and standard deviation $7.00. (a) What is the probability a random sample of 40 customers will have a mean repair cost exceeding $16.00? (b) What is the probability the mean repair cost for a sample of 100 gus- tomers, will be between $15.10 and $15.80? (c) The manager has decided to offer a spring special. He is aware of the mean and standard deviation for repair bills last year. Therefore, he has decided to randomly select and repair the first 50 bicycles for $14.00 each. Since this is a risky thing to do, the manager wants to know the probability that the spring special offer would lead him to have a net loss. Please calculate the probability for him.
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