The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.57 O b. 0.19 O C. 0.83 d. 0.47
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- For the probability distribution, find b. P(y> 2) c. F(y = 6) d. P(y = 6) 0.05, 0.10, f(y)= 0.15, 0.20, X, y = -2 y = -1 y = 0 y = 1 y = 2The joint probability distribution function of X and Y is given by: 1 2 3 1 0.05 0.06 0.10 X 2 0.13 0.21 0.30 a. Find the conditional distribution of Y given X = 1 b. Find the conditional distribution of X given Y = 2 5 0.02 0.03 0.10Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −2, −1, 4, 5, and 6. Value x of X -2 -1 4 5 6 P ( X = x) 0.17 0.27 0.20
- Find the mean of the given probability distribution. A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.51, 0.35, 0.13, and 0.01, respectively. A. μ=1.50 B. μ=0.64 C. μ=1.15 D. μ=0.25Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,-2,3,5, and 6.Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 1 2 3 5 6 7 8 P(X = x) 0.195 0.183 0.294 0.179 0.098 0.034 0.012 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? Check Answer
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- Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) c) What is the probability that that a randomly selected person has received more than five tickets in a three-year period? P(x > 5) = d) What is the probability that that a randomly selected person has received three or less tickets in a three-year period? P(x < 3)Let discrete random variables X and Y have the following probability distribution: Y 1 -1 0.10 0.18 0.10 X 0.09 0.15 0.23 1 0.03 0.05 0.07 Find the E(X2 Y²) -0.91 1.18 0.91 1.0494