SOLUTION: 1.A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem. What is the probability that any value in the population is betwe

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Question 176621: 1.A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem. What is the probability that any value in the population is between 55 and 65? ___________. What is the probability that any value in the population is between 45 and 65? ____________.
2. A business owner decides to use a binomial distribution to solve one of his problems. He knows there is a 60 percent probability that he will sell one of his Red Oak floors to any customer who comes into his shop and views the wood. Out of the next 7 people who come into his shop, what is the probability that 3 people will buy a Red Oak floor? ___________ What is the probability that more than four people will buy the Red oak floor? ___________
Answer by stanbon(75887) (Show Source):
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A normal distribution with a mean of 55 and a standard deviation of 6 is evaluated to solve a business problem. What is the probability that any value in the population is between 55 and 65? ___________. What is the probability that any value in the population is between 45 and 65? ____________.
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Find the z-values of 45 and of 65
z(45) = (45-55)/6 = -1.6666667
z(65) = (65-55)/6 = 1.666667
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P(55 < x < 65) = P(-1.666667 < z < 1.6666667) = 0.9044186...
Cheers,
Stan H.