MY NOTES ASK YOUR TEACHER PRACTICE 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 mean = 36 minutes and standard deviation = 4 minutes. (Round your answers to four decimal places.) (a) What is the probability that a first interview will last 40 minutes or longer? (b) Five first interviews are usually scheduled per day. What is the probability that the average length of time for the five interviews will be 40 minutes or longer? Need Help? Read It 17. [3.56/5.92 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 6.R.022.S. MY NOTES ASK YOUR TEACHER A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of the drug is normally distributed, with mean 5 minutes. = 38 minutes and standard deviation = (a) The drug is administered to one patient selected at random. What is the probability that the time it takes to go into effect is 35 minutes or less? (Round your answer to four decimal places.) (b) The drug is administered to a random sample of 10 patients. What is the probability that the average time before it is effective for all 10 patients is 35 minutes or less? (Round your answer to four decimal places.) (c) Comment on the differences of the results in parts (a) and (b). The probability in part (b) is smaller than standard deviation is smaller the probability in part (a) because the for the x distribution.