From the information:

We want to find P(Y>4) therefore z score is given by:

Hence
QUESTION 10 Some variable y is distributed normally with u=0,0=5. We want to know Prſy>4). Z=...
Assume the random variable x is normally distributed, with u = 48 and a = 10. Compute the probability Plx < 50). O A. 0.579 OB. 0.842 OC. 0.421 OD. 0.158 Click to select your answer
Problem 1 (16 points). Suppose that Y is normally distributed random variable with u-10 and σ-2 and X is another normally distributed random variable with μ-: 5 and σ-5. Y and X are independent. Calculate the following probabilities according to a normal distribution table (e.g., a normal table found from the Internet) (1) (4 points) Pr(Y> 12) (2) (4 points) Pr(2 < X <4) (3) (4 points) Pr(Y> 12 and 2< X <4) and Pr(Y> 12 or 2< X <4)...
QUESTION 10 4 If Z is a standard normal random variable, then P(-1.25<= Z <=-0.75) is QUESTION 11 4F It is given that x, the unsupported stem diameter of a sunflower plant, is normally distributed with population mean mu=35 and population standard deviation sigma=3. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? 4 pc QUESTION 12 A random variable x is normally distributed with u = 100 and o-20, What...
Exercise 2. Let consider a normally distributed random variable Z with mean 0 and variance 1. Compute (a) P(Z < 1.34). (b) P(Z > -0.01). (c) the number k such that P(Z <k) = 0.975.
Part 4 of 10 - Question 4 of 10 1.0 Points Find k such that Pr[Z<k] = .7517, where Z is the standard normal random variable. O A..2483 O B.-.32 Oc..32 O D.-.68 O E..68 Reset Selection
Q6. Given that X is a random variable that is normally distributed with u = 30 and 0 = 4. Determine the following: a. P (30<x<35) b. P (x > 21) c. P(x < 40)
Solve the problem. Assume that Z e normally distributed with parameters, (u = 0, 0 = 1). If P(-k<Z<k) - 0.06376, find k. 0.18 0.08 1.64 1.49 Moving to another question will save this response.
The variable X is normally distributed. The mean is u = 60.0 and the standard deviation is o = 4.0. Find PIX > 65.0).
(1 point) Suppose z is a normally distributed random variable with u = 10.6 and o = 1.6. Find each of the following probabilities: (a) P(8.6 << < 15.1) (b) P(5.1 5*< 15.8) (c) P(7.1 Su 15.9) (d) P(x > 5.3) = (e) P(x< 13.4) =
Assuming that random variable X is normally distributed with u = 120 and o =20, the P(80<X<100) is 0.0228 0.0446 0.1359 0.1587