# Question

Use the result of Exercise 2.5-5 to find the mean and variance of the

(a) Bernoulli distribution.

(b) Binomial distribution.

(c) Geometric distribution.

(d) Negative binomial distribution.

(a) Bernoulli distribution.

(b) Binomial distribution.

(c) Geometric distribution.

(d) Negative binomial distribution.

## Answer to relevant Questions

The mean of a Poisson random variable X is μ = 9. Compute P(μ − 2σ < X < μ+ 2σ). Let f(x) = 1/2, 0 < x < 1 or 2 < x < 3, zero elsewhere, be the pdf of X. (a) Define the cdf of X and sketch its graph. (b) Find q1 = π0.25. (c) Find m = π0.50. Is it unique? (d) Find q3 = π0.75. For each of the following functions, (i) Find the constant c so that f(x) is a pdf of a random variable X, (ii) Find the cdf, F(x) = P(X ≤ x), (iii) Sketch graphs of the pdf f(x) and the distribution function F(x), and ...Let the random variable X be equal to the number of days that it takes a high-risk driver to have an accident. Assume that X has an exponential distribution. If P(X < 50) = 0.25, compute P(X > 100 | X > 50). Find the values of (a) z0.10, (b) −z0.05, (c) −z0.0485, and (d) z0.9656.Post your question

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