In a bike shop the average repair bill throughout a maintenance program's first year is $15.30 with the standard deviation of $7.00
(a) Compute the probability a random sample of 40 customers will have the mean repair cost exceeding $16
(b) Determine the probability the mean repair cost for the sample of 100 customers will be between $15.10 and $15.80
(c) The manager offers the spring special. He randomly selects and repairs the first 50 bikes at $14 each. He notes this is not even one standard deviation below the mean price to make such repairs. He asks your advice. Is this a risky thing to do? Based upon the probability of repair bill being $14 or less what would you recommend. Talk about.