Is the following a probability distribution function? P(z) = OYes, it is a probability distribution function. O No, it is not a probability distribution function. 16 104 105 if z = -5 if z = -4 if z = -2 if z = 1 if z = 5
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- 5. Probability help me uhuhuhuh5. What is the variance of the probability distribution? A. 6.67 В. 4 C. 3.46 D. 2.58The promoter of a football game is concerned that it will rain. She has the option of spending $14,040 on insurance that will pay $39,000 if it rains. She estimates that the revenue from the game will be $65,040 if it does not rain and $30,040 if it does rain. What must the chance of rain be if buying the policy has the same expected return as not buying it? Write expressions showing the expected returns if the promoter does and does not purchase the insurance, using p to represent the probability of rain. Without insurance, E(return) = With insurance, E(return) = The chance of rain must be _%.
- 10. Calculate a joint probability given data: -Sample of 9000 firms. 6000 have CEO with Bachelor's degree, 2300 have CEO with Master's Degree, 700 have CEO with Ph. D. Find probability that a randomly selected CEO has a Bachelor's Degree or a Ph. D.5.100 Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss. 4 (c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Which of the following graphs accurately represents the probability density function for flight time in minutes? f(x) T 0.15+ 1.
- 1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.Required:a) What is the probability that a client who bought a single cab does not prefer air conditioning? (5)b) What is the probability that a client prefers a double cab with air conditioning?2. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000. a. What percent of the sales representatives earn more than $42,000 per year? b. What percent of the sales representatives earn between $32,000 and $42,000? c. What percent of the sales representatives earn between $32,000 and $35,000?Use the following information to answer the next two questions: A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 4.8 cars use the diesel pump every 2 hours. What is the probability that 5 cars will arrive to use this pump during a two-hour period? O 65.1% O 32.24% O 13.5% O 22.26% O 17.5% QUESTION 32 What is the probability that one or no cars will arrive to use the diesel pump during a half-hour period? O 4.77% O 49.3% O 66.26% O 30.12% O 36.14%
- probability and random variable Haider Ali AL-Saidi EXomfle CH-o): let X aned Y are C.g.Vs with joint →くれく4 →にすThe range of probability is O any value between -1 to 1 O any value between minus infinity to plus infinity. any value larger than zero. O zero to one.Q3/ The probability that a consumer will rate a new antipollution device for cars What are the probabilities that it will rate the device (a) very poor, poor, fair, or good; (b) good, very good, or excellent? Rate Poor Fair Very good Excellent Very poor Good Probability 0.07 0.12 0.17 0.32 0.21 0.11SEE MORE QUESTIONS