2. Suppose that X is a normally distributed random variable with u =5 and o 3. Use the standard normal probability table to calculate a value of X, call it xo, for parts a, b, and c; the rest are optional, for extra practice. Illustrate your answers with graphs. You are given a probability associated with a particular value of X, and you must calculate the x value using a z-score and the Z table. (4) a. P(X < xo) = 0.8413 b. P(X > x) = 0.025 c. 1% of the values of X are greater than xo. Hint: In other words, find the 99th percentile. d. P(X > xo) = 0.95 e. P(41 < X < xo) = 0.8630 f. 10% of the values of X are less than xo. Hint: In other words, find the 10th percentile.
2. Suppose that X is a normally distributed random variable with u =5 and o 3. Use the standard normal probability table to calculate a value of X, call it xo, for parts a, b, and c; the rest are optional, for extra practice. Illustrate your answers with graphs. You are given a probability associated with a particular value of X, and you must calculate the x value using a z-score and the Z table. (4) a. P(X < xo) = 0.8413 b. P(X > x) = 0.025 c. 1% of the values of X are greater than xo. Hint: In other words, find the 99th percentile. d. P(X > xo) = 0.95 e. P(41 < X < xo) = 0.8630 f. 10% of the values of X are less than xo. Hint: In other words, find the 10th percentile.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Questions d, e and f.
![2. Suppose that X is a normally distributed random variable with u = 5 and o = 3. Use the standard normal
probability table to calculate a value of X, call it x,, for parts a, b, and c; the rest are optional, for extra practice.
Illustrate your answers with graphs. You are given a probability associated with a particular value of X, and you
must calculate the x value using a z-score and the Z table. (4)
a. P(X <x,) = 0.8413
b. P(X > x,) = 0.025
c. 1% of the values of X are greater than xo. Hint: In other words, find the 99th percentile.
d. P(X > xo) = 0.95
e. P(41 < X < x) = 0.8630
f. 10% of the values of X are less than xo. Hint: In other words, find the 10h percentile.
%3D
=D0.8630](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9abda69-535c-4843-b1ce-7ceedd869614%2F9ac87081-96f5-4a34-b3a8-f07c057eb9ac%2Fsczsrfv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Suppose that X is a normally distributed random variable with u = 5 and o = 3. Use the standard normal
probability table to calculate a value of X, call it x,, for parts a, b, and c; the rest are optional, for extra practice.
Illustrate your answers with graphs. You are given a probability associated with a particular value of X, and you
must calculate the x value using a z-score and the Z table. (4)
a. P(X <x,) = 0.8413
b. P(X > x,) = 0.025
c. 1% of the values of X are greater than xo. Hint: In other words, find the 99th percentile.
d. P(X > xo) = 0.95
e. P(41 < X < x) = 0.8630
f. 10% of the values of X are less than xo. Hint: In other words, find the 10h percentile.
%3D
=D0.8630
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