Question

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 27 minutes, what is the probability that X is less than 29 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)

Answer #1

The random variable X is exponentially distributed, where X
represents the time it takes for a person to choose a birthday
gift. If X has an average value of 22 minutes, what is the
probability that X is less than 30 minutes? (Do not round until the
final step. Round your answer to 3 decimal places.)

The random variable X is exponentially distributed, where X
represents the waiting time to see a shooting star during a meteor
shower. If X has an average value of 71 seconds, what are the
parameters of the exponential distribution?
λ=71, μ=71, σ=171
λ=171, μ=71, σ=71
λ=71, μ=171, σ=171
λ=271, μ=71, σ=712
λ=712, μ=71, σ=171

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...

A random variable X is exponentially distributed with a
mean of 0.25.
a-1.
What is the rate parameter
?? (Round your answer to 3 decimal
places.)
Rate parameter
?
a-2.
What is the standard deviation
of X? (Round your answer to 2 decimal
places.)
Standard deviation
X
b.
Compute P(X
> 0.34). (Round intermediate calculations to 4 decimal
places and final answer to 4 decimal places.)
P(X > 0.34)
c.
Compute P(0.18 ?
X ? 0.34). (Round...

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...

A random variable X is exponentially distributed with
an expected value of 57.
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(54 ≤ X ≤ 60).
(Round intermediate calculations to at least 4 decimal
places and final answer to 4 decimal places.)
c. Compute P(45 ≤ X ≤ 69).
(Round intermediate calculations to at least 4 decimal
places and final answer to 4 decimal...

Suppose that the time (in hours) required to repair a
machine is an exponentially distributed random variable with
parameter λ=0.2. What is
(a) the probability that a repair takes less than 3
hours?
(b) the conditional probability that a repair takes at least
11hours, given that it takes more than 8 hours?

Let x denote the time it takes to run a road race. Suppose x is
approximately normally distributed with a mean of 190 minutes and a
standard deviation of 21 minutes. If one runner is selected at
random, what is the probability that this runner will complete this
road race in less than 205 minutes? Round your answer to four
decimal places. P= #2 Let x denote the time it takes to run a road
race. Suppose x is approximately...

The time it takes a random person to get a haircut is Normally
Distributed, with an average of 23.8 minutes and a standard
deviation of 5 minutes. Assume that different people have
independent times of getting their hair cut. Find the probability
that, if there are four customers in a row (with no gaps in
between), they will all be finished getting their hair cut in 1.5
hours (altogether) or less.

Let x be a random variable that represents the commute time of
teachers in a large urban area. If x is normally distributed with a
mean of 46 minutes and a standard deviation of 5 minutes, find the
commute time which is at the top of the bottom 25%.

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