1.Assume that females have pulse rates that are normally distributed with a mean of =74.0 beats per minute and a standard deviation of =12.5 beats per minute.

If 1 adult female is randomlyselected, find the probability that her pulse rate is less than 81 beats per minute.

The probability is

(Round to four decimal places asneeded.)

2.The overhead reach distances of adult females are normally distributed with a mean of 202.5cm and a standard deviation of 8.6cm.

a. Find the probability that an individual distance is greater than 211.80 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 200.30cm.

c. Why can the normal distribution be used in part(b), even though the sample size does not exceed30?

3.Assume that females have pulse rates that are normally distributed with a mean of =72.0 beats per minute and a standard deviation of =12.5 beats per minute.

If 1 adult female is randomlyselected, find the probability that her pulse rate is between 66 beats per minute and 78 beats per minute.

The probability is

(Round to four decimal places asneeded.)

4.An elevator has a placard stating that the maximum capacity is 1824 lb12 passengers.So, 12 adult male passengers can have a mean weight of up to 1824/12=152pounds. If the elevator is loaded with 12 adult malepassengers, find the probability that it is overloaded because they have a mean weight greater than 152 lb.(Assume that weights of males are normally distributed with a mean of 162lb and a standard deviation of 30lb.) Does this elevator appear to besafe?

The probability the elevator is overloaded is

(Round to four decimal places asneeded.)