Solution Found!
Suppose that f (x) = e?x for 0 < x. Determine
Chapter 4, Problem 1E(choose chapter or problem)
Suppose that \(f(x)=e^{-*}\) for 0 < x. Determine the following:
(a) \(P(1<X)\) (b) \(P(1<X<2.5)\)
(c) \(P(X=3)\) (d) \(P(X<4)\) (e) \(P(3 \leq X)\)
(f) x such that \(P(x<X)=0.10\)
(g) x such that \(P(X \leq x)=0.10\)(P(X \leq x)=0.10\)
Equation transcription:
Text transcription:
f(x)=e^{-*}
P(1<X)
P(1<X<2.5)
P(X=3)
P(X<4)
P(3 \leq X)
P(x<X)=0.10
P(X \leq x)=0.10
Questions & Answers
QUESTION:
Suppose that \(f(x)=e^{-*}\) for 0 < x. Determine the following:
(a) \(P(1<X)\) (b) \(P(1<X<2.5)\)
(c) \(P(X=3)\) (d) \(P(X<4)\) (e) \(P(3 \leq X)\)
(f) x such that \(P(x<X)=0.10\)
(g) x such that \(P(X \leq x)=0.10\)(P(X \leq x)=0.10\)
Equation transcription:
Text transcription:
f(x)=e^{-*}
P(1<X)
P(1<X<2.5)
P(X=3)
P(X<4)
P(3 \leq X)
P(x<X)=0.10
P(X \leq x)=0.10
ANSWER:Answer
Step 1 of 1
(a)
Suppose that
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We are asked to find the probability
For a continuous random variable a probability density function is a function such that
We can write