For female pulse rates use μ = 74 bpm and σ = 12.5 bpm and the rates are normally distributed. a) If 1 female is randomly selected, find the probability that her pulse rate is between 72 bpm and 76 bpm. b) If 4 females are randomly selected find the probability that they have pulse rates with a mean between 72 bpm and 76 bpm. c) Why can the normal distribution be used in part b even though the sample size does not exceed 30? PLEASE SHOW ALL WORK!!!

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.