MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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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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Follow-up Question

please complerte letters E through L with the respective numerical values 

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?
expand button
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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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

please complerte letters E through L with the respective numerical values 

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?
expand button
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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