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 places.)
A random variable X is exponentially distributed with an expected value of 49. a-1. What is...
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 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.)
I. Let Y be an exponentially distributed random variable with parameter λ Compute the cdf and the pdf for the random variable X-e
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 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 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.)
Let X be an exponentially distributed random variable with parameter λ. Prove that P(X > s + tK > t) P(X > s) for any S,12 0
Let X be an exponentially distributed random variable with parameter value 2. a) Use the markov inequality to estimate P(X >= 3). b) Use the chebyshev inequaity to estimate P(X >= 3). c) Calculate P(X >= 3) exactly.