How fast you drive in your commute to campus always varies depending on traffic and weather. The average speed in your commute can be anywhere from 35 to 50 miles per hour (mph), with any speed in that interval being equally likely a) What is the probability that the average speed in your commute is less than 30 mph. b) What is the expected average speed when you commute to campus? Interpret this in the context of the problem in a sentence or two. c) What is the probability that your average speed is between 30 and 40 mph?

A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table.   Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?

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.…

Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time​ (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.

Hi! I pretty much don't understand this problem that was presented on my Statistics class

Question is in the image below.

Need help with Question 2.