Question aircraft engines engineers define reliability as, Ask an Expert

Statistics

Question: Aircraft engines Engineers define reliability as the probability that an item will perform its function under specific conditions for a specific period of time. A certain model of aircraft engine is designed so that each engine has probability 0.999 of performing properly for an hour of flight. Company engineers test an SRS of 350 engines of this model. Let X = the number that operate for an hour without failure.

(a) Explain why X is a binomial random variable.

(b) Find the mean and standard deviation of X. Interpret each value in context.

(c) Two engines failed the test. Are you convinced that this model of engine is less reliable than it's supposed to be? Compute P(X ≤ 348) and use the result to justify your answer.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92572781

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A 10-year annuity-immediate pays 100 quarterly for the

A 10-year annuity-immediate pays 100 quarterly for the first five years. Starting year 6, the annuity immediate pays 300 quarterly for the remaining five years. There is a nominal annual interest of 8% convertible quarte ...

What considerations do you need to take when considering

What considerations do you need to take when considering "time value of money"? Why is the following statement true? "A dollar today is worth more than a dollar tomorrow."

A medical researcher is interested in determining whether a

A medical researcher is interested in determining whether a new medication for lung cancer is effective in a group of patients with early-stage disease. Explain what a Type I and Type II error would be in this study. (Be ...

Jennifers broker has shown her two options in the

Jennifer's broker has shown her two options in the securities market for investment. Security one is a bond of par value of $1,000. The bond has a coupon interest rate of 11% paid annually maturing in seven years, with y ...

A package contains 12 resistors 2 of which are defective if

A package contains 12 resistors, 2 of which are defective. If 4 are selected, find the probability of getting the following results. Round your answer to six decimal places. 0 defective resistors P(0 defective)=

In a random sample of 100 college student 60 were females

In a random sample of 100 college student 60 were females, 65 were under 21 years of age and 15 males were 21 years of age or older, a student is selected at random from the sample. What is the probability that a female ...

The number of people arriving for treatment at an emergency

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a mean of 7 people per hour. How many people do you expect to arrive during a 55-minute period?

Ann and bill play rock-paper-scissors each has a strategy

Ann and Bill play rock-paper-scissors. Each has a strategy of choosing uniformly at random out of rock, paper, and scissors every round (making independent selections each round). Each round can end in a win, loss, or a ...

Determine the sample size needed to construct a 90

Determine the sample size needed to construct a 90?% confidence interval to estimate the average GPA for the student population at a college with a margin of error equal to 0.5. Assume the standard deviation of the GPA f ...

A rainstorm in portland oregon wiped out the electricity

A rainstorm in Portland, Oregon, wiped out the electricity in 10% of the households in the city. Suppose that a random sample of 70 Portland households is taken after the rainstorm. Estimate the number of households in t ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert