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25. Suppose that a random variable, X, can have one of the values {0,1,3,6). Suppose that the probability density function for X is Pr (X = 0) = 0.2, Pr{X = 1) = 0.2, and (X = 6) = 0.5. What is the value of E(X)? (A) 3.0 (B) 2.5 (C) 3.5 (D) 3.2 (E) not enough data

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Deanna Hettinger
Deanna HettingerLv2
11 Feb 2018
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PROBLEM 17: A random variable X takes four possible values, 0, 2, a, and b, where a and bare unknown numbers. If Pr[x = 0) = 0.2, Pr[X=2] = 0.4, Pr[X = a) = 0.3, E[X] = 2.8 and it is the case that a + b = 6, what is the missing value of a ? A) -1.0 B) 5.0 C) 7.0 D) cannot be determined without more information E) none of the above

PROBLEM 09: A random variable X has the density function below, where y and p are unknown numbers. If E[X] = 2.9, what are the values of p and y? Values of X Pr{ x = x] 0.2 0.5 A) p = 0.3, y = 4.4 D) p = 0.3, y = 6.0 B) p = 0.3, y = 5.6 E) p = 0.4, y = 5.8 C) cannot be determined because there is not N) none of the above (which means that the answer enough information given in the problem. can be determined, but it is not listed among the answer choices given).

24. Someone's pocket contains 2 quarters, 3 dimes, and 2 nickels, Suppose that two coins are drawn out simultaneously at random. Let X equal the total value of both coins (in cents). What is Pr (X=30)? (A) Á (B)} (C) (D)} (E);

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