Researchers suspect that smoking disrupts sleep patterns, so the amounts of sleep smokers get may be different from the amounts non-smokers get. To determine if this is true they conduct a test of hypothesis. To collect the data they include questions on sleep patterns in the intake interviews of 86 smokers participating in a 30-day smoking cessation program the researchers are running. They find that the smokers in the sample sleep an average of 7.4 hours per day. In the population as a whole, it is known that the amount of sleep people get has a distribution that is roughly symmetric with an average of 7.7 hours and a standard deviation of 0.93 hours.

11 Assume that the critic finds that 30 percent of the movies have positive comments about the plot, 55 percent have positive comments about the acting, and 35 percent were not given positive comments about either plot or acting. What is the probability that a randomly selected movie was given positive comments about both plot and acting?

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

d and e only