If the random variable x follows a normal distribution N(-3,1), then
(a) P(x=2)= _______
(b) P(x>-3)= _______
If the random variable x follows a normal distribution N(-3,1), then
If the random variable x follows a normal distribution N(-3,1), then (a) P(x=2)= [a] (b) P(x>-3)=[b]
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)
Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.31. What is P(X=2)? Round your response to at least 3 decimal places.
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.
QUESTION 1 A random variable X follows a normal distribution with mean 350 and standard deviation 65. If a sample of size 15 is taken, find P(X> 325). (3 decimal places)
Let X be a random variable that follows a binomial distribution with n= 12, and probability of success p = 0.86. a) What is P(X = 10)? Round your response to at least 3 decimal places. Number b) What is P(X > 10)? Round your response to at least 3 decimal places. Number c) What is P(X < 10)? Round your response to at least 3 decimal places. Number
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?
4 Suppose the random variable X follows a normal distribution with mean u = 54and standard deviation o = 10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 42) = Number b) P(X > 61) = Number c) P(49< X < 69) = Number
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).
(4.1) Suppose X is a random variable with normal distribution with u = 2 and o = 2. Compute the following probabilities in terms of the function o (the distribution function of a standard normal distribution). (a) P[O < X < 3). (b) P[X > 2] (c) P[X < 1)