The time, X, for clearing side effects of water purification, in days, has the following cumulative distribution F: F(x) = 0 for x < 1 and F(x)= Vx - for 1 s x s 9 and F(x) =1 for x > 9 2 a) What is the probability density function for X for 1s xs 9? O f(x) = O f(x) = Vx . 4 1 O f(x) = 4x 1 O f(x) = 4Vx

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The time, X, for clearing side effects of water purification, in days, has the following cumulative distribution F:
Vx 1
F(x) = 0 for x <1 and F(x)=
for 1 s x s 9 and F(x) = 1 for x > 9
2
a) What is the probability density function for X for 1s xs 9?
O f(x) =
Vx 1
O f(x) =
4.
O f(x) =
4x
1
O f(x) =
4Vx
O f(x) = .125
Type here to search
B..
R.
..
10
Transcribed Image Text:The time, X, for clearing side effects of water purification, in days, has the following cumulative distribution F: Vx 1 F(x) = 0 for x <1 and F(x)= for 1 s x s 9 and F(x) = 1 for x > 9 2 a) What is the probability density function for X for 1s xs 9? O f(x) = Vx 1 O f(x) = 4. O f(x) = 4x 1 O f(x) = 4Vx O f(x) = .125 Type here to search B.. R. .. 10
b) What is the probability that X > 5?
c) What is the probability X < 5 ?
d) What is the probability that X > 7?
e) What is the probability that X > 6.3?
f) What is the probability that X > 7 given the X > 6.3?
g) Calculate the 70th percentile of X.
h) What is the expected value of X?
i) What is the expected value of X2 ?
j) What is the variance of X?
k) What is the probability that X is more than 0.1 below its expected value?
I) Add any comments below.
P Type here to search
B..
10
Transcribed Image Text:b) What is the probability that X > 5? c) What is the probability X < 5 ? d) What is the probability that X > 7? e) What is the probability that X > 6.3? f) What is the probability that X > 7 given the X > 6.3? g) Calculate the 70th percentile of X. h) What is the expected value of X? i) What is the expected value of X2 ? j) What is the variance of X? k) What is the probability that X is more than 0.1 below its expected value? I) Add any comments below. P Type here to search B.. 10
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