Using the Central Limit Theorem. In Exercises 5–8, 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 (based on Data Set 1 “Body Data” in Appendix B). a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

A pair of dice is rolled 210 times. What is the probability that a total of 7 occurs (a) at least 24 times? (b) between 38 and 48 times inclusive? (c) exactly 35 times? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

Section 4.1 Introduction to Probability Score: 4.67/15 4/15 answered Question 10 Giving a test to a group of students, the grades and gender are summarized below valuations A B Male 10 18 6. Female 9. 16 7 If one student was chosen at random, find the probability that the student was male. Probability = (Please enter a reduced fraction.) Submit Question ...jpg pic 16131095275...jpg pic_16131095275..jpg O Zoomday17bsp21.docx pic 1615670389...jpg 17 WX P N 吕口 F3 F4 F5 F2

EXERCISE 3.6 Winter lasts from December 21 through March 21. The average win- ter temperature in Boston is Normally distributed with mean μ = 32.5° F and stan- dard deviation o = 1.59° F. In New York City, the average winter temperature is Normally distributed with mean = 35.4 ° F and standard deviation o = 2.05°F. (a) What is the probability that the average winter temperature in Boston this com- ing winter will be above freezing (32 ° F)? (b) Assume that average winter temperatures in Boston and New York are inde- pendent. What is the probability that the average temperature in Boston in the coming winter will be higher than in New York? (c) Do you think the independence assumption above is reasonable? EXERCISE FI