Question

Suppose that the time (in hours) required to repair a machine is an exponentially distributed random...

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?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The random variable X is exponentially distributed, where X represents the time it takes for a...
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 time it takes for a...
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.)
The lifetime of a mechanical part is exponentially distributed with a mean of 200 hours. a)...
The lifetime of a mechanical part is exponentially distributed with a mean of 200 hours. a) What is the probability that an assembly on test fails in less than 150 hours? b) What is the probability that an assembly operates for more than 700 hours before failure?
One guy handles equipment repair at a camera store. Repair time for cameras is exponentially distributed,...
One guy handles equipment repair at a camera store. Repair time for cameras is exponentially distributed, with a mean of 1.6 hours per camera. Customers arrive with broken cameras at an average rate of 2.1 per eight-hour day. NOTE: calculate the measures per day. Calculate the probability of two or more cameras in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)
A random variable X is exponentially distributed with an expected value of 77 a-1. What is...
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)
A job shop consists of three machines and two repair-persons. The amount of time a machine...
A job shop consists of three machines and two repair-persons. The amount of time a machine operates before breaking down is exponentially distributed with mean 8 hours. The amount of time it takes to fix a machine is exponential with mean 5 hours (the repair-persons never work together on the same machine). The number of functional machines can be modeled as birth and death process. ⦁ The birth rates are λ0 = λ1 = _____, λ2 = _____, λ3 =...
Suppose that XX is an exponentially distributed random variable with λ=0.37. Find each of the following...
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 X1, X2,... be a sequence of independent random variables distributed exponentially with mean 1. Suppose...
Let X1, X2,... be a sequence of independent random variables distributed exponentially with mean 1. Suppose that N is a random variable, independent of the Xi-s, that has a Poisson distribution with mean λ > 0. What is the expected value of X1 + X2 +···+ XN2? (A) N2 (B) λ + λ2 (C) λ2 (D) 1/λ2
Suppose that X is an exponentially distributed random variable with λ = 0.37 Find each of...
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)
A random variable X is exponentially distributed with an expected value of 33. a-1. What is...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT