Activity A. Find the expected value of each probability mass function below. You may use the space provided below. 1. X 1 3 P(x) 0.15 0.32 0.37 0.16 X 1 2. P(x) 0.20 0.30 0.32 0.18 3.

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. If the probability that you will graduate is 0.63, then the probability that you will not graduate is -0.63.

On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?

Suppose a weather report indicates that the probability of rain this week is 0.20. According to the report, if it rains this week, then the probability of rain next week is 0.32. If it does not rain this week, then the probability of rain next week is 0.13. The tree diagram models this weather report. Determine the probability that it will not rain for the next two weeks. Express your answer as a decimal precise to two decimal places. Probability=?

Each sample of water has a 10% chance of containing a particular organic pollutant.  Assume that the samples are independent with regard to the presence of the pollutant. Approximate the probability that, in the next 200 samples, there are 20 to 25 samples contain the pollutant. You can use Excel to calculate. (x.xxxx)

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A shipment of 9 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 2 f(x) (Type integers or simplified fractions.) Express the results graphically as a probability histogram. Choose the correct graph below. O A. OB. OC. OD. 3/4 3/4 3/4 3/4

Based on historical data kept by a business school, the probability distribution for students who have been found in violation of academic integrity in the core accounting class each semester is given below. Let x = number of students found in violation of academic integrity in a semester in the core accounting class. Answer the questions below.   Do your calculations in the columns to the right of Prob(x).  x Prob(x)                             0 0.5             1 0.18             2 0.17             3 0.04             4 0.106             5 0.004             A) Is this a valid probability distribution? Justify briefly.       B) What is the expected value of the number of students found to be in violation of academic integrity in the core accounting class c) What is the standard deviation of the number of students found to be in violation of academic integrity in the core accounting class?

Suppose a weather report indicates that the probability of rain this week is 0.20. According to the report, if it rains this week, then the probability of rain next week is 0.32. If it does not rain this week, then the probability of rain next week is 0.13. The tree diagram models this weather report. Determine the probability that it will not rain for the next two weeks. Express your answer as a decimal precise to two decimal places.