Table 3.6 shows a random sample of 200 cyclists and the routes they prefer. Let M = males and H = hilly path. 184 CHAPTER 3 | PROBABILITY TOPICS   Gender        Lake Path         Hilly Path         Wooded Path         Total Female             45                     38                     27                      110 Male                 26                     52                     12                       90 Total                 71                     90                     39                       200 a. Out of the males, what is the probability that the cyclist prefers a hilly path? b. Are the events “being male” and “preferring the hilly path” independent events?

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?

The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. B. If 1000 murders were randomly selected, we would expect about of the to have resulted from a rifle or shoto (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders…

Information is provided for 3 different ways of getting from home to work in the morning. From A way: μA =34 minutes, 4-5.4 minutes; From B way: μ=31 minutes, 4-2 minutes; From C way: μ =32 minutes, 4-4 minutes. Which route should someone with 29 minutes of time take? Hint1. Define the commute time as a random variable X. Hint2. Use normal probability table. O a. B O b. A O c. Bor C O d. C O e. A or B