# Question

With reference to Example 3.4, verify that the values of the distribution function are given by F(x) = x2 + 5x / 50 For x = 1, 2, 3, 4, and 5.

In exercise

Check whether the function given by f(x) = x+2/25 for x = 1,2,3,4,5 can serve as the probability distribution of a discrete random variable.

In exercise

Check whether the function given by f(x) = x+2/25 for x = 1,2,3,4,5 can serve as the probability distribution of a discrete random variable.

## Answer to relevant Questions

With reference to Theorem 3.3, verify that (a) P(X > xi) = 1- F(xi) for i = 1, 2, 3, . . . , n; (b) P(X G xi) = 1- F(xi- 1) for i = 2, 3, . . . , n, and P(X ≥ x1) = 1. Theorem 3.3 If the range of a random variable X ...Find the distribution function of the random variable Y of Exercise 3.20 and use it to determine the two probabilities asked for in that exercise. In exercise The probability density of the random variable Y is given by Find ...Find the distribution function of the random variable X whose probability density is given by Also sketch the graphs of the probability density and distribution functions. The distribution function of the random variable X is given by Find P(X ≤ 2), P(1< X < 3), and P(X > 4). If the joint probability distribution of X and Y is given by f(x, y) = 1/30 (x+ y) for x = 0, 1, 2, 3; y = 0, 1, 2 Construct a table showing the values of the joint distribution function of the two random variables at the ...Post your question

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