Stat 104 – Homework 5 Due Tuesday October 9, 2007 Reading: October 2 – October 4 October 9 – October 11 Chapter 5 Chapter 6 Assignment: 1. Complete the following problems from the text: 5.20, 5.34, 5.66, 5.72, 5.90, and 5.92. 2. There are more male babies born in the U.S. than female babies. The probability of having a male baby is 0.512 and the probability of having a female baby is 0.488. Suppose that there are 25 births at a local hospital. a) Use JMP to calculate the probability distribution for the number of male births at the hospital. Round probabilities to 5 decimal places. b) Have JMP create a histogram of the probability distribution. Be sure the histogram has a probability axis. c) Describe the shape of the probability distribution. d) What is the probability that exactly 13 males are born? e) What is the probability that from 20 to 25 males are born? f) What is the probability that exactly 13 females are born? g) What is the probability that from 20 to 25 females are born? h) What is the mean number of male births? Explain how the mean number can be a fraction, even though only whole babies are born. i) What is the standard deviation of male births? j) What is the probability that the number of male births falls between the mean minus two standard deviations and the mean plus two standard deviations? 1