1)Technology (calculator programs) may be used. When using technology please identify the program and values used, e.g., TI 2^nd Vars normal cdf(-2.7,100000)=Answer

2)Where appropriate, a graph/picture is to be provided as part of your solution.

Female Pulse Rates Assume that females have pulse rates that are normally distributed with mean 74 beats per minute. and a standard deviation of 12.5 beats per minute.

a)If an adult female is randomly selected, find the probability that her pulse rate is greater than 70 beats per minute.

b)If 15 adult females are randomly selected, find the probability that they have pulse rates with a mean greater than 70 beats per minute.

c)Why can the normal distribution be used in part b), even though the sample size does not exceed 30?