5. If X is a binomial random variable with expected value 6 and variance 2.4, find...
Given a negative binomial random Variable X with mean of 6 and variance of 12, compute P(X < 3)
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
Let X be a binomial random variable with n = 6, p = 0.4. Find the following values. (Round your answers to three decimal places.) (a) PCX = 4) (b) PIX S1 (c) PCX > 1) (d) 4 = 0 = o v npg Need Help? Read It 5. (-/6 Points) DETAILS MENDSTATC4 5.1.011 Let X be a binomial random variable with n = 10 and p = 0.3. Find the following values. (Round your answers to three decimal places.)...
5. (a) (6 marks) Let X be a random variable following N(2.4). Let Y be a random variable following N(1.8). Assume X and Y are independent. Let W-min(x.Y). Find P(W 3) (b) (8 marks) The continuous random variables X and Y have the following joint probability density function: 4x 0, otherwise Find the joint probability density function of U and V where U-X+Y and -ky Also draw the support of the joint probability density function of Uand V (o (5...
Find the expected value, μ, and standard deviation, σ, for a binomial random variable with each of the following values of n and p. (Round all answers for σ to four decimal places.) (a) n = 50, p = 1/2. μ = σ = (b) n = 300, p = 1/4. μ = σ = (c) n = 1000, p = 1/5. μ = σ = (d) n = 1, p = 0.3. μ = σ = (e) n =...
QUESTION 8 Let x be a binomial random variable with n=5 and p=0.7. Find P(X <= 4). O 0.1681 0.5282 0.4718 0.8319 0.3601
A. Let X be a binomial random variable with n = 74 and p = .6. Use the normal approximation to the binomial to find: (i) P(X ≤ 50) (iii) P(40 ≤ X ≤ 50) (v) P(X = 43) (ii) P(X ≥ 40) (iv) P(42 ≤ X < 49) B. Each time a roulette wheel is spun, there are 38 possible outcomes, 18 red, 18 black, and two green. Suppose that you ALWAYS bet "black". (i) Suppose the roulette wheel...
. Suppose that Y is a normal random variable with mean µ = 3 and variance σ 2 = 1; i.e., Y dist = N(3, 1). Also suppose that X is a binomial random variable with n = 2 and p = 1/4; i.e., X dist = Bin(2, 1/4). Suppose X and Y are independent random variables. Find the expected value of Y X. Hint: Consider conditioning on the events {X = j} for j = 0, 1, 2. 8....
5. A random variable X follows a binomial distribution with n 35 and p-4. Use the normal approximation to the binomial distribution to find P(X < 16)
If x is a binomial random variable, use the binomial probability table to find the probabilities below. a.. P(x=2) for n=10, p=0.4 b.. P(x≤6) for n=15, p=0.3 c.. P(x>1) for n=5, p=0.1 d.. P(x<17) for n=25, p=0.9 e.. P(x≥6) for n=20, p=0.6 f.f. P(x=2) for n=20, p=0.2 a. P(x=2)=_______________-(Round to three decimal places as needed.)