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 25 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 25 minutes, what is the probability that X is less than 31 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 person to choose a birthday gift. If X has an average value of 21 minutes, what is the probability that X is less than 26 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 person to choose a birthday gift. If X has an average value of 24 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 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 11 seconds, what are the parameters of the exponential distribution? Select the correct answer below: a. λ=211, μ=11, σ=112 b. λ=112, μ=11, σ=111 c. λ=11, μ=111, σ=111 d. λ=11, μ=11, σ=111 e. λ=111, μ=11, σ=11
A random variable X is exponentially distributed with a mean of 0.23. a) What is the standard deviation of X? (Round your answer to 2 decimal places.) b) Compute P(X > 0.38). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c) Compute P(0.16 ≤ X ≤ 0.38). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
X is a random variable exponentially distributed with mean Y, where Y is uniformly distributed on the interval [0,2], Find P(X>2|Y>1) roblems: X is a random variable exponentially distributed with mean Y, where Y is uniformly distributed on the interval [0,2], Find P(X>2|Y>1) roblems:
A random variable X is exponentially distributed with an expected value of 52. 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(44 ≤ X ≤ 60). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute P(41 ≤ X ≤ 63). (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 49. 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(41 ≤ X ≤ 57). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute P(34 ≤ X ≤ 64). (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 (lambda) = 0.5.What's the probability that a repair takes less than 5 hours? AND what's the conditional probability that a repair takes at least 11 hours, given that it takes more than 8 hours?
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.8, i.e., mean = 1/lambda. What is (a) the probability that a repair takes less than 77 hours?