For each of the following, assume that X is a standard normal random variable
1.P(Z < 1.55) =
2.P(Z > 1.36) =
3.P(-1.14 < Z < 1.45) =
4.P(Z < -3.56) =
5.P(Z > -2.75) =
6.P(-1.25 < Z < -1.15)
7.What score separates the lower 20% of scores from the top 80% of scores?
8.What score separates the top 2.5% of scores?
For each of the following, assume that X is a standard normal random variable 1.P(Z <...
Let z be a random variable with a standard normal distribution. Calculate the indicated probability P(−1.15≤ z ≤1.55)P(−1.15≤ z ≤1.55).
Assume z is a standard normal random variable. Compute the following probabilities.a. P(–1.33 ≤ z ≤ 1.67)b. P(1.23 ≤ z ≤ 1.55)c. P(z ≥ 2.32)d. P(z ≥ –2.08) e. P(z ≥ –1.08)
(1 point) Find the following probabilities for the standard normal random variable z. (a) P(-0.81 <<0.42) (b) P(-1.14 <z < 0.5) (c) P(Z < 0.69) a (d) P(Z > -0.6)
In a standard normal distribution, find the following values: The probability that a given z score is less than -2.67 The probability that a given z score is between 1.55 and 2.44 The z scores that separates the most inner (middle) 82% of the distribution to the rest The z score that separate the lower 65 % to the rest of the distribution
For a Standard Normal random variable Z, calculate the probability P(-0.25 < Z < 0.25). For a Standard Normal random variable Z, calculate the probability P(-0.32 < Z < 0.32). For a Standard Normal random variable Z, calculate the probability P(-0.43 < Z < 0.43). Calculate the z-score of the specific value x = 26 of a Normal random variable X that has mean 20 and standard deviation 4. A Normal random variable X has mean 20 and standard deviation...
[6] Let z be a standard normal random variable. Compute the following probabilities. P(–1.23 ≤ z ≤ 2.58) P(z ≥ 1.32) P(z ≥ –1.63) P(z ≤ –1.38) P(–1.63 ≤ z ≤ –1.38) P(z = 2.56) I don't understand how z scores compute ?? I have looked at Z score tables in the book and I still don't understand
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...
1. Let Z be the standard normal random variable. Find (a) P(Z > −1.78) = (b) P(−.60 < Z < 1.25) = (c) z.005 = (d) z.025 =
What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...
Standard Normal distribution. With regards to a standard normal distribution complete the following: (a) Find P(Z > 0), the proportion of the standard normal distribution above the z-score of 0. (b) Find P(Z <-0.75), the proportion of the standard normal distribution below the Z-score of -0.75 (c) Find P(-1.15<z <2.04). (d) Find P(Z > -1.25). (e) Find the Z-score corresponding to Pso, the 90th percentile value.