SOLUTION: the personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. from the past records, they have found that the length

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Question 1125561: the personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. from the past records, they have found that the length of a first interview is normally distributed, with a mean = 34 minutes and a standard deviation = 7 minutes. (round your answers to four decimal places.)
a-what is the probability that a first interview will last 40 minutes or longer?
b-two first interviews are usually scheduled per day. what is the probability that the average length of the two interviews will be 40 minutes or longer?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
a. z=(x-mean)/sd
z>(6/7), so probability is 0.1957
second is z=(xbar-mean)/sigma/sqrt(n)
z>6/7/sqrt(2) or 6 sqrt(2)/7 and that probability is less, or 0.1131

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