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Find the z value based on the given area

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1. The lengths of human pregnancies are normally distributed with μ = 266 days and σ = 16 days. The area to the right of x = 280 is 0.1908.

(a) Find the z value based on the given area = 0.1908 from the positive z score table A-2 in the back of the textbook.

(b) Interpret the area 0.1908.

(c) What is the minimum number of days for the top 10% of pregnant women?

(d) What is the maximum number of days for the bottom 5% of pregnant women?

2. The drive-thru times at Tim Horton's are normally distributed with μ = 138.5 seconds and σ = 29 seconds.

(a) What is the probability that a randomly selected car will get through the drive-thru in less than 100 seconds?

(b) What is the probability that a randomly selected car will spend more than 160 seconds in the drive-thru?

(c) What proportion of cars spend between 2 and 3 minutes in the drive-thru?

(d) Would it be unusual for a car to spend more than 3 minutes in the drive-thru? Why?

Reference no: EM132154461

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