SOLUTION: the age of costumers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years. what is the probability that the n

Question 936413: the age of costumers for a particular retail store follows a normal distribution with a mean of 37.5 years and a standard deviation of 7.6 years. what is the probability that the next costumer who enters the store will be less than 42 years old ?
with formula and solution
thank you
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We want the probability(P) such that P(X<42), we need to calculate the z-score for this probability
z-score = (X - mean) / standard deviation = (42 - 37.5) / 7.6 = 0.592105263
now we need to consult the z-tables to find the associated probability
P{X<42) = 0.7224 which is approx 72%

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