Let X be physical distance, measured in inches, from its anchoring point where a bicycle spoke will snap. Then X has the following probability density function: f(x)= x(1-) for0sxs 13 and 0 otherwise. 169 a)What is the probability that a bicycle spoke snaps less than 3 inches from its anchoring point? 0.135 b) What is the probability that X >6? 0.558 c) What is the probability that 2< X < 8? 0.606 d) What is the expected value of X (E(X))? 6.500 e) What is the expected value of X2 ? 50.696

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Let X be physical distance, measured in inches, from its anchoring point where a bicycle spoke will snap. Then X has the following probability density
6
x(1-) for 0Sxs 13 and' 0 otherwise.
169
function: f(x)=
13
a)What is the probability that a bicycle spoke snaps less than 3 inches from its anchoring point? 0.135
b) What is the probability that X >6? 0.558
c) What is the probability that 2< X < 8? 0.606
d) What is the expected value of X (E(X))? 6.500
e) What is the expected value of X2 ? 50.696
f) What is the variance of X? 8.446
g) What is the standard deviation of X? 2.906
h) What is the probability that X is less than its expected value? 0.500
i) What is the expected value of X0.6 ?
j) What is the 60th percentile of X?
6:06
B.
11/2/2
e Type here to search
Transcribed Image Text:Let X be physical distance, measured in inches, from its anchoring point where a bicycle spoke will snap. Then X has the following probability density 6 x(1-) for 0Sxs 13 and' 0 otherwise. 169 function: f(x)= 13 a)What is the probability that a bicycle spoke snaps less than 3 inches from its anchoring point? 0.135 b) What is the probability that X >6? 0.558 c) What is the probability that 2< X < 8? 0.606 d) What is the expected value of X (E(X))? 6.500 e) What is the expected value of X2 ? 50.696 f) What is the variance of X? 8.446 g) What is the standard deviation of X? 2.906 h) What is the probability that X is less than its expected value? 0.500 i) What is the expected value of X0.6 ? j) What is the 60th percentile of X? 6:06 B. 11/2/2 e Type here to search
A webassign.net/web/Student/Assignment-Responses/submit?dep-D252758598&tags-Dautosave#question4847473_6
u) wnat is tne expecteu value oiA (E(X))? b.500
e) What is the expected value of X2 ? 50.696
f) What is the variance of X? 8.446
g) What is the standard deviation of X? 2.906
h) What is the probability that X is less than its expected value? 0.500
i) What is the expected value of X0.6 ?
j) What is the 60th percentile of X?
k) What is the probability that X is within 2 standard deviations of its expected value?
I) What is the probability that X = 8?
m) Add any comments into the text box here.
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B..
Transcribed Image Text:A webassign.net/web/Student/Assignment-Responses/submit?dep-D252758598&tags-Dautosave#question4847473_6 u) wnat is tne expecteu value oiA (E(X))? b.500 e) What is the expected value of X2 ? 50.696 f) What is the variance of X? 8.446 g) What is the standard deviation of X? 2.906 h) What is the probability that X is less than its expected value? 0.500 i) What is the expected value of X0.6 ? j) What is the 60th percentile of X? k) What is the probability that X is within 2 standard deviations of its expected value? I) What is the probability that X = 8? m) Add any comments into the text box here. Viewing Saved Work Revert to Last Response Submit Answer Type here to search B..
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