3. (6 pts) Let Z be standard normal,(mean-0, variance-1) (a) Find Pr(Z1.13)
Question 2 options: Assume Z is a standard normal random variable with mean 0 and variance 1. Find P(Z<1.48)? Area below 1.48? Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, -3.5 is entered as -3.50, 0.3750 is entered as 0.38 | | Assume Z is a standard normal random variable with mean 0 and variance 1. Find P(Z>0.67)? Area above 0.67? Note: Enter X.XX AT LEAST ONE...
6. Let Z's be independent standard normal random variables. (a) Define X = Σ Z f X. (b) Define Y = 4 Σ zi. Find the mean and variance of Y. (Hint: Use the fact E(Z Z,)-0 for any i fj, i,j 1,2,3,4.) i. Find the mean and variance o i=1 4 i=1
QUESTION 1 X+ 1 Let X be normal with mean-1 and variance 3. Thenis standard normal. V3 O True False
Using the standard normal probability table, find: Pr[-2.08< Z < 1.93] Using the standard normal probability table, find: Pr[Z<-0.65] Using the standard normal probability table, find: Pr[Z > 1.29]
For the standard normal distribution mean = 0 and standard deviation = 1 find: P(z < 2.95) Draw a labeled normal curve
The random variable Z has a Normal distribution with mean 0 and variance 1. Show that the expectation of Z given that a < Z < b is o(a) – °(6) 0(b) – (a)' where Ø denotes the cumulative distribution function for Z.
Let Z be the standard normal variable. Find a constant z, z > 0, such that P(|Z| < z) = 0.98
Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z > -1.1)? -0.8643 0.8643 -0.1357 0.1357 If all possible random samples of size n are taken from a population that is not normally distributed, and the mean of each sample is determined, what can you say about the sampling distribution of sample means? It is approximately normal provided that n is large enough. It is positively skewed. It is negatively skewed. None of...
Let z be a random variable with a standard normal distribution. Find P(0 ≤ z ≤ 0.40), and shade the corresponding area under the standard normal curve. (Use 4 decimal places.)
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1 Gk to view page 1.of the tabie Click to view page 2 of the table 09633 The indicated z score is Round to two decimal places as needed.) Enter your answer in the answer box. ruc esc 2 3 4 5 6 WIE ab