For each of the following random variables, find, P(2<X≤ 6) and P(X > 5|X < 8)
a. X∼Geometric(0.15)
b. X∼Binomial(10,.1)
c. X∼Hypergeometric(12,10,10)
For each of the following random variables, find, P(2<X≤ 6) and P(X > 5|X < 8)...
7. If x is a binomial random variable find the following probabilities: a) P(x = 2) n = 10 and p = .40 b) P (x < 5) for n = 15 and p = .60 8. Find pl, oland o for n = 25 and p = .50
Suppose X and Y are independent Binomial random variables, each with n=3 and p=9/10. a. Find the probability that X and Y are equal, i.e., find P(X=Y). b. Find the probability that X is strictly larger than Y, i.e., find P(X>Y). c. Find the probability that Y is strictly larger than X, i.e., find P(Y>X).
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8).
1. Let X~b(x; n, p) (a) For n 6, p...
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. Given the following types of random variables: Bernoulli, Geometric, Binomial, and Poisson ple where each distribution c b. Make MATLAB plots of examples of PMF for each of these distributions. c. Make MATLAB plots of the four CDFs d. Calculate the first three moments and the variance of a Bernoulli random variable e. Calculate the expected values of a Geometric random variable and a Poisson random variable.
5. Given the following types of random variables: Bernoulli, Geometric, Binomial, and...
(1 point) If X is a binomial random variable, compute P(X = x) for each of the following cases: (a) n = 4, p = 0.1, x = 1 P(X = x) (b) n=6, p = 0.3.x = 3 P(X = x) (c) n= 3, p = 0.4, x = 1 P(X = x) (d) n = 3, p = 0.15, x = 2 P(X = x)
Determine which type of random variable the following examples are: (a) binomial, (b) hypergeometric, (c) geometric, or (c) Poisson. Then find the probability. I. Suppose that 30% of all drivers stop at an intersection having flashing red lights when no other cars are visible. Of 15 randomly selected drivers coming to an intersection under these conditions, let X denote the number of those who stop. Find P(X 6) and P(X 2 6).
10J Find the appropriate distributions for the following random variables A. the number of cured patients among all the patients who use the drug B. the number of x defective items when a random sample of size n is selected from N items which consist of k defective items and N-k non- -dectives items C the number of tossing a coin until a head occurs D, the number of telephone calls received per hour by an office E the number...
L.1) BinomialDist[1, p] random variables In what context do random variables with BinomialDist[1, p] arise? L.2) Expected value and Variance for the Binomial[1, p] and Binomial[n, p] random variables a) Go with a random variable X with BinomialDist[1, p Calculate Expect[X] and Var[X]. b) Go with a random variable X with BinomialDist[n, p]. Use the fact that X is the sum of n independent random variables each with BinomialDist[1, pl to explain why: Expect[x]-n p and Var[X]-np(p) L.3) Relations among...
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