given an exponentially distributed population with a mean of 385.06 what is the probability of the...

given an exponentially distributed population with a mean of 385.06 what is the probability of the average of 138 randomly selected items being less than 53018.8

Expert Solution

The values can not be calculated due to the unavailability of the proper calculator

Thanks!!

orchestra answered 1 year ago

A random variable X is exponentially distributed with a mean of 0.21. a-1. What is the...

A random variable X is exponentially distributed with a mean of 0.21. 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 > 0.36). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

The amount of a loss is exponentially distributed with mean 90. An insurance pays 90% of...

The amount of a loss is exponentially distributed with mean 90. An insurance pays 90% of the amount of a loss in excess of an ordinary deductible of 20. The maximum payment is 117 per loss. Determine the expected payment, given that a payment has been made.

The distance between flaws on a long cable is exponentially distributed with a mean of 12...

The distance between flaws on a long cable is exponentially distributed with a mean of 12 m. a) Find the probability that the distance between two flaws is greater than 15 m. b) Find the probability that the distance between two flaws is greater than 25 m given that it is greater than 10 m. c) Find the probability that the distance between two flaws is greater than 20 m given that it is greater than 10 m.

the time between phone calls received by a telephonist is exponentially distributed with a mean of...

the time between phone calls received by a telephonist is exponentially distributed with a mean of 10 minutes.what is the probability that there are no more than four calls within one hour?

A critical component on a submarine has an operating lifetime that is exponentially distributed with mean...

A critical component on a submarine has an operating lifetime that is exponentially distributed with mean 0.50 years. As soon as a component fails, it is replaced by a new one having statistically identical properties. What is the smallest number of spare components that the submarine should stock if it is leaving for a one-year tour and wishes the probability of having an inoperable unit caused by failures exceeding the spare inventory to be less than 0.02? Please show that...

Car battery The mileage of a car battery is exponentially distributed with a mean value of...

Car battery The mileage of a car battery is exponentially distributed with a mean value of 10000 km. (a) What is the probability of a 5000 km trip without replacement of the battery? (b) What is the maximum length of travel that can be terminated with 90% probability without replacing the battery? (c) Determine the median, the mean and the variance of the mileage of the battery

Given a normally distributed population with a mean of 100 and a variance of 400, find...

Given a normally distributed population with a mean of 100 and a variance of 400, find the following probabilities for a sample mean for 16 individuals. (X for a, b, c is X bar) a) P(X≥100) b) P(X≤110) c) P(96≤X≤108)

Lifetime of certain device is exponentially distributed random variable T( λ ). Probability that T >...

Lifetime of certain device is exponentially distributed random variable T( λ ). Probability that T > 10 is e-3: P{ T> 10} = e-3 The system consists of 6 devices of such type and is in working condition if all of its components are in working condition. a) Find expectation μx and standard deviation σx for given distribution. b) Find the probability that the system will not fail I) in the next 3 years? II) in the next 8 years?...

Suppose hard drive A has a lifetime that is exponentially distributed with mean of 6 years...

Suppose hard drive A has a lifetime that is exponentially distributed with mean of 6 years and hard drive B has a lifetime that is exponentially distributed with a mean of 2 years. What is the probability that drive B lasts at least 3 times longer than drive A?

Given a random sample of size 16 from a normally distributed population with a mean of...

Given a random sample of size 16 from a normally distributed population with a mean of 100 and standard deviation of 24, find P(x bar≤90)

Question