eds kmgegoud apeiden au JapISUOn N= {-7,-6,-5,-3,-1} and P(A) = ACN and the random variable -8 if we{-5, -6}, -5 if w= -3, 6 if w= -7, if w=-1. X:n +R, X(u) =: 9 1. Compute the following probabilities. • P(X=6) = (±0.01) • P(X<-8) = (10.01) • P(X >9) = (+0.01) • P(X > 9) = (20.01) 2. Let f denote the probability density and let Fbe the distribution function corresponding to X. Compute the following values • f(6) = (20.01) • F(8.5) = (+0.01) • F(6.5) = (+0.01) 3. Compute the expected value of X. E(X) = (±0.01)
eds kmgegoud apeiden au JapISUOn N= {-7,-6,-5,-3,-1} and P(A) = ACN and the random variable -8 if we{-5, -6}, -5 if w= -3, 6 if w= -7, if w=-1. X:n +R, X(u) =: 9 1. Compute the following probabilities. • P(X=6) = (±0.01) • P(X<-8) = (10.01) • P(X >9) = (+0.01) • P(X > 9) = (20.01) 2. Let f denote the probability density and let Fbe the distribution function corresponding to X. Compute the following values • f(6) = (20.01) • F(8.5) = (+0.01) • F(6.5) = (+0.01) 3. Compute the expected value of X. E(X) = (±0.01)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:Consider the Laplace probability space (2, A, P) with
N= {-7,-6,-5,-3,-1}
|A|
P(A)
and
%3D
ACN
and the random variable
-8 if we {-5, -6},
if w= -3,
if w= -7,
if w = -1.
-5
X:n +R, X(w) =
6.
1. Compute the following probabilities.
• P(X = 6) =
(+0.01)
• P(X < -8) =
(+0.01)
• P(X > 9)
(+0.01)
• P(X 2 9):
(+0.01)
2. Let f denote the probability density and let F be the distribution function corresponding to X. Compute the following values.
• f(6) =
(+0.01)
• F(8.5)
(+0.01)
• F(6.5) =
(+0.01)
3. Compute the expected value of X,
E(X) =
(10.01)
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