Suppose that when a transistor of a certain type is subjected to an accelerated life test,...
Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma distribution with mean 40 weeks and variance 320 weeks.
A) What is the probability that a transistor will last between 1 and 40 weeks?
B) What is the probability that a transistor will last at most 40 weeks?
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Suppose that when a transistor of a certain type is subjected to
an accelerated life test,...
Suppose that when a transistor of a certain type is subjected to an accelerated life test,...
Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 20 weeks and standard deviation 10 weeks (a) What is the probability that a transistor will last between 10 and 20 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 20 weeks? (Round your answer to three decimal places.) Is the median...
Suppose that when a transistor of a certain type is subjected to an accelerated life test,...
Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) What is the probability that a transistor will last between 12 and 24 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 24 weeks? (Round your answer to three decimal places.) Is the median...
show work please 1. Suppose that when a type of transistor is subjected to an accelerated...
show work please
1. Suppose that when a type of transistor is subjected to an accelerated life test, the lifetime Y (in weeks) has a gamma distribution with mean 12 weeks and standard deviation 6 weeks (a) What are the values of a and B? (b) What is the probability that a transistor will last between 9 and 15 weeks? (c) What is the probability that a transistor will last at most 12 weeks? (d) What is the median of...
A biomedical investigation found that the survival time, in weeks, of an animal when subjected to...
A biomedical investigation found that the survival time, in weeks, of an animal when subjected to a certain gamma radiation exposure has a gamma distribution with α = 5 and β = 10. What is the probability that an animal survive more than 50 weeks? Answer using 4 decimals.
Problem No. 4 / 10 pts. Given The lifetime, in years, of a certain type of...
Problem No. 4 / 10 pts. Given The lifetime, in years, of a certain type of pump is a random variable with probability density function 0 True (a) What is the probability that a pump lasts more than 1 years? (b) What is the probability that a pump lasts between 2 and 4 years? (c) Find the mean lifetime (d) Find the variance of the lifetime. (e) Find the cumulative distribution function of the lifetime. (f) Find the median lifetime....
Suppose the average lifetime of a certain type of car battery is known to be 60...
Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months. a) If the true average lifetime is 62 months and a=0.01, what is the probability of a type II error? b) What is the required sample size to satisfy and the type II error probability of b(62)...
A certain type of electronic component has a lifetime Y (in hours) with probability density function given by
A certain type of electronic component has a lifetime Y (in hours) with probability density function given by That is, Y has a gamma distribution with parameters α = 2 and θ. Let denote the MLE of θ. Suppose that three such components, tested independently, had lifetimes of 120, 130, and 128 hours. a Find the MLE of θ. b Find E() and V(). c Suppose that actually equals 130. Give an approximate bound that you might expect for the error of estimation. d What...
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...
2. Suppose that the lifetime ? (measured in kilometers) of a certain type of shock absorber...
2. Suppose that the lifetime ? (measured in kilometers) of a certain type of shock absorber can be modeled as Lognormal with ? = 10.14 and ? = 0.53. a. Compute ?(?) and ?(?). (Already Solved) b. Randomly select 5 shock absorbers. Compute the probability that at most 1 of the 5 tires will last between 10000 and 20000 kilometers. Hint: Use a Binomial random variable. c. Suppose that ? = 0.53. What should ? be so that the 10th...
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...
Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 20 weeks and standard deviation 10 weeks (a) What is the probability that a transistor will last between 10 and 20 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 20 weeks? (Round your answer to three decimal places.) Is the median...
Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime X (in weeks) has a gamma distribution with mean 24 weeks and standard deviation 12 weeks. (a) What is the probability that a transistor will last between 12 and 24 weeks? (Round your answer to three decimal places.) (b) What is the probability that a transistor will last at most 24 weeks? (Round your answer to three decimal places.) Is the median...
show work please
1. Suppose that when a type of transistor is subjected to an accelerated life test, the lifetime Y (in weeks) has a gamma distribution with mean 12 weeks and standard deviation 6 weeks (a) What are the values of a and B? (b) What is the probability that a transistor will last between 9 and 15 weeks? (c) What is the probability that a transistor will last at most 12 weeks? (d) What is the median of...
Problem No. 4 / 10 pts. Given The lifetime, in years, of a certain type of pump is a random variable with probability density function 0 True (a) What is the probability that a pump lasts more than 1 years? (b) What is the probability that a pump lasts between 2 and 4 years? (c) Find the mean lifetime (d) Find the variance of the lifetime. (e) Find the cumulative distribution function of the lifetime. (f) Find the median lifetime....
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...
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