Question

Suppose that X is an exponentially
distributed random variable with λ=0.75. Find each of the
following probabilities

p(x>1)=

p(x>.7)=

p(x<.75)

p(.6<x<3.9)=

Answer #1

Suppose that X is an exponentially distributed random
variable with λ = 0.37
Find each of the following probabilities:
A. P(X > 1)
B. P(X > 0.29)
C. P(X < 0.37)
D. P(0.31 < X < 2.04)

Suppose that XX is an exponentially distributed random
variable with λ=0.37. Find each of the following
probabilities:
B. P(X>0.21)P(X>0.21) =
D. P(0.26<X<2.02) =

Let X be an exponential random variable with parameter λ > 0.
Find the probabilities P( X > 2/ λ ) and P(| X − 1 /λ | < 2/
λ) .

A random variable X is exponentially distributed with
an expected value of 77
a-1. What is the rate parameter λ?
a-2. What is the standard deviation of
X?
b. Compute P(68 ≤ X ≤ 86)

Suppose that X|λ is an exponential random variable with
parameter λ and that λ|p is geometric with parameter p. Further
suppose that p is uniform between zero and one. Determine the pdf
for the random variable X and compute E(X).

Suppose x is a normally distributed random variable with μ=15
and σ=2. Find each of the following probabilities. (Round to three
decimal places as needed.)
a. P(x≥17.5)
b. P(x≤14.5)
c. P(15.8 ≤ x ≤ 19.48)
d. P(10.58 ≤ x ≤17.4)

Suppose x is a normally distributed random variable with
muequals16 and sigmaequals2. Find each of the following
probabilities. a. P(xgreater than or equals16.5) b. P(xless
than or equals14.5) c. P(17less than or equalsxless than or
equals21.2) d. P(11.16less than or equalsxless than or
equals18.84) LOADING... Click here to view a table of areas under
the standardized normal curve.

A random variable X is exponentially distributed with a
mean of 0.16.
a-1. What is the rate parameter λ?
(Round your answer to 3 decimal places.)
a-2. What is the standard deviation of X?
(Round your answer to 2 decimal places.)
b. Compute P(X > 0.25).
(Round intermediate calculations to at least 4 decimal
places and final answer to 4 decimal places.)
c. Compute P(0.14 ≤ X ≤ 0.25).
(Round intermediate calculations to at least 4 decimal
places and final...

Suppose x is a normally distributed random variable with
muμequals=11 and sigmaσequals=2.Find each of the following
probabilities.
a.
P(xgreater
than or equals≥11.511.5)
b.
P(xless
than or equals≤88)
c.
P(11.6411.64less
than or equals≤xless
than or equals≤16.216.2)
d.
P(6.486.48less
than or equals≤xless
than or equals≤14.114.1)

A random variable X is exponentially distributed with an
expected value of 33.
a-1. What is the rate parameter λ? (Round your answer to 3
decimal places.)
a-2. What is the standard deviation of X?
b. Compute P(23 ≤ X ≤ 43). (Round intermediate calculations to
at least 4 decimal places and final answer to 4 decimal
places.)
c. Compute P(20 ≤ X ≤ 46). (Round intermediate calculations to
at least 4 decimal places and final answer to 4 decimal...

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