6. The bulge size, X, of a Martian ice dome has density function: : f(x)= 20x(5-x)³ for 0 ≤ x ≤ 5 and 0 otherwise. 3125 a) What is the probability that X > 2? b) What is the probability that X < 2? c) What is the probability that 2.1 < X < 4.7?
6. The bulge size, X, of a Martian ice dome has density function: : f(x)= 20x(5-x)³ for 0 ≤ x ≤ 5 and 0 otherwise. 3125 a) What is the probability that X > 2? b) What is the probability that X < 2? c) What is the probability that 2.1 < X < 4.7?
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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please answer all questions fully and show all work down to the numerical values for each part
Transcribed Image Text:6. The bulge size, X, of a Martian ice dome has density function::
f(x)= 20x(5-x)³ for 0≤ x ≤ 5 and 0 otherwise.
3125
a) What is the probability that X > 2?
b) What is the probability that X < 2?
c) What is the probability that 2.1 < X < 4.7?
d) What is the expected value of X (E(X))?
e) What is the expected value of X - 3?
f) What is the expected value of 6X?
g) What is the expected value of X² ?
h) What is the probability that X is greater than its expected value?
i) What is the expected value of X³-3X+1 ?
j) What is the 55th percentile of X?
k) What is the probability that X is within 0.4 of its expected value?
1) What is the probability that X = 2?
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please complerte letters E through L with the respective numerical values
Transcribed Image Text:The bulge size, X, of a Martian ice dome has density function: :
for 0 ≤ x ≤ 5 and 0 otherwise.
f(x)= 20x(5-x)³
3125
a) What is the probability that X > 2? .3370
b) What is the probability that X < 2? .6630
c) What is the probability that 2.1 < X < 4.7? .3035
d) What is the expected value of X (E(X))?
e) What is the expected value of X - 3?
f) What is the expected value of 6X?
g) What is the expected value of x²?
h) What is the probability that X is greater than its expected value?
i) What is the expected value of X³-3X+1 ?
j) What is the 55th percentile of X?
k) What is the probability that X is within 0.4 of its expected value?
1) What is the probability that X = 2?
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