2.(5 poiuts) X is a random variable follows the Normal Distribution: x- N900. 35) Find Pr...
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 the random variable x follows a normal distribution N(-3,1), then (a) P(x=2)= _______ (b) P(x>-3)= _______
For a normal random variable, with μ = 20, and σ = 2, find the following probabilities. (a) Pr(X ≤ 21.1) (b) Pr(X > 15.90)
Problem 1. Let x be a random variable which approximately follows a normal distribution with mean i = 1000 and o = 200. Use the z-table (attached to this test), calculator, or computer software to find the following: Part A. Find P(> 1500). Part B. Find P(x < 900). Part C. Find P(900<x<1500).
Suppose that X is a random variable that has a normal distribution with mean u= 5 and standard deviation o = 10. Evaluate the following probabilities: (a) Pr(X > 10) (b) Pr(X < 2) (c) Pr(6 < X < 11) (d) Pr((X – 10)2 < 12)
Find the answer using StatCrunch. A random variable X follows a normal distribution with mean 135 and standard deviation 12. If a sample of size 10 is taken, find P (x̅ < 137). (4 decimal places)
Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
1. The random variable X follows a normal distribution N(10,1). Using the provided table to find prob( (X-10)2 4) Patients arrive at a clinic at an average rate of 300 per hour. Assume the arrival at each minute follows a Poisson distribution 2. a. b. c. Find the probability that none passes in a given minute. What is the expected number passing in two minutes? Find the probability that this expected number actually pass through in a given two-minute period.
3. Consider a discrete random variable X which follows the geometric distribution f(x,p) = pr-1(1-p), x = 1.2. . . . , 0 < p < 1. Recall that E(x) (1-p) (a) Find the Fisher information I(p). (b) Show that the Cramer-Rao inequality is strict e) Let XX ~X. Find the maximum likelihood estimator of p. Note that the expression you find may look complicated and hard to evaluate. (d) Now modify your view by setting μ T1p such that...
If the random variable x follows a normal distribution N(-3,1), then (a) P(x=2)= [a] (b) P(x>-3)=[b]