Let X be a discrete random variable with probability mass function in the form х 1 2 3 4 5 f(x) 0.1 0.2 k 0.4 k is 0.4 0.3 0.2 O o o o
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Let X be a discrete random variable with probability mass function.
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- The probability generating function for a random variable X is given by: 1 1,25 1 9x(z) =z2 + 1 -z20 710 + 2 P(X < 5 |X < 13) equals Select one: а. 0.8 b. 0.2 C. 1 d. 0.286 е. О52. A random variable X has a probability mass function given by: 1 0.2 a. Determine P(x) = 2 b.Find P(X<2) c. Find P(X≥ 3) X P(x) 0 0.1 2 ? 3 0.4
- Questior Let X and Y be random variables with the following joint probability function 1 1 0.10 0.10 0.05 y 2 0.15 0.10 0.05 3 3 0.20 0.05 4 0.15 0.05 Compute fy(y), fx(x) and probabilities P(X = 3), P(Y = 1) and P(Y < 2). %3D2. We have two fair dice, one red and one blue. When we roll them together, the outcome can be shown as an order pair, (R, B) where R and B are numbers from the red and the blue die, respectively. Let X be a random variable defined by X(R, B) = R - B where R and B are numbers from red and blue dice, respectively. (a) What is the probability mass function for the random variable? Show that as a table.Let X and Y be two discrete random variables with the joint probability distribution is given by: Y= f(x.y) 2 1/6 1/3 1/12 X= 1/6 1/12 2 0 1/6 Then E ([(X + 2Y)®]) is equal to: None of these 147/12 57/6 281/12
- 8q12An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is given. y p(y) 0 1 0.50 0.35 0.10 0.05 USE SALT 3 (a) What is the probability that among 25 randomly chosen such individuals, at least 15 have no citations? (Round your answer to three decimal places.) (b) What is the probability that among 25 randomly chosen such individuals, fewer than half have at least one citation? (Round your answer to three decimal places.) What is the probability that among 25 randomly chosen such individuals, the number that have at least one citation is between 10 and 15, inclusive? ("Between a and b, inclusive" is equivalent to (a ≤ x ≤ b). Round your answer to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
