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Problem No. 4 / 10 pts. Given The lifetime, in years, of a certain type of...
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump...
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump is a random variable with probability density function (x+1)* x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of...
Problem No. 6.4 / 10 pes. The lifetime, in years of a certain type of pump...
Problem No. 6.4 / 10 pes. The lifetime, in years of a certain type of pump is a random variable with probability density function .x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the...
The lifetime, in years, of a certain type of pump is a random variable with probability...
The lifetime, in years, of a certain type of pump is a random variable with probability density function x 20 (x+1) 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find the...
x 20 The lifetime, in years, of a certain type of pump is a random variable...
x 20 The lifetime, in years, of a certain type of pump is a random variable with probability density function 3 (x+1)+ 0 True (Note: “True" means “Otherwise” or “Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find...
2) The lifetime in years of a certain type of electronic component has a probability density...
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a...
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a random variable y with pdf =x2. In a random sample of 4 such batteries, what is the probability that at least 2 of them f(x) will work for more than 6 months (round off to second decimal place)?
The lifetime of a battery in a certain application is normally distributed with mean = 16...
The lifetime of a battery in a certain application is normally distributed with mean = 16 hours and standard deviation o = 2 hours. a) What is the probability that a battery will last more than 19 hours? Select] b) Find the 10th percentile of the lifetimes. (Select] c) A particular battery lasts 14.5 hours. What percentile is its lifetime on? Select)
28 An experimenter knows that the distribution of the lifetime of a certain component is negative...
28 An experimenter knows that the distribution of the lifetime of a certain component is negative exponentially distributed with mean 1/0. On the basis of a random sample of size n of lifetimes he wants to estimate the median lifetime. Find both the maximum-likelihood and uniformly minimum-variance unbiased estimator of the median.
A certain type of device lasts on average 6 years with a variance of 4 years....
A certain type of device lasts on average 6 years with a variance of 4 years. assume the device life is normally distributed. find: 1- the probability that the device will lasts between 2 and 3 years 2- the probability that the device will lasts less than 10 years 3- find a value d such that the device life is in the range of 7 ± d with probability of 0.08076 (explain this point carefully)
RANU 10 pts. Problem No. 6.4 The lifetime, in years, of a certain type of pump is a random variable with probability density function (x+1)* x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of...
Problem No. 6.4 / 10 pes. The lifetime, in years of a certain type of pump is a random variable with probability density function .x20 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the...
The lifetime, in years, of a certain type of pump is a random variable with probability density function x 20 (x+1) 0 True (Note: "True" means "Otherwise" or "Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find the...
x 20 The lifetime, in years, of a certain type of pump is a random variable with probability density function 3 (x+1)+ 0 True (Note: “True" means “Otherwise” or “Elsewere") 1) What is the probability that the pump lasts more than 3 years? 2) What is the probability that the pump lasts between 1 and 2 years? 3) Find the mean lifetime. 4) Find the variance of the lifetime. 5) Find the cumulative distribution function of the lifetime. 6) Find...
2) The lifetime in years of a certain type of electronic component has a probability density function given by: otherwise a) If the expected value of the random variable is 3/5 i.e. E(X)-3/5, find a and b. b) Show that the median lifetime is approximately 0.6501 years.
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
Question 2 1 pts Suppose the lifetime (in months) of certain type of battery is a random variable y with pdf =x2. In a random sample of 4 such batteries, what is the probability that at least 2 of them f(x) will work for more than 6 months (round off to second decimal place)?
The lifetime of a battery in a certain application is normally distributed with mean = 16 hours and standard deviation o = 2 hours. a) What is the probability that a battery will last more than 19 hours? Select] b) Find the 10th percentile of the lifetimes. (Select] c) A particular battery lasts 14.5 hours. What percentile is its lifetime on? Select)
28 An experimenter knows that the distribution of the lifetime of a certain component is negative exponentially distributed with mean 1/0. On the basis of a random sample of size n of lifetimes he wants to estimate the median lifetime. Find both the maximum-likelihood and uniformly minimum-variance unbiased estimator of the median.
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