Question

In: Statistics and Probability

Assume that the life of an engine follows a normal distribution with an average life of 12 years and a standard deviation of 2 years


Assume that the life of an engine follows a normal distribution with an average life of 12 years and a standard deviation of 2 years. The seller replaces all engines that fail during the warranty period without additional charges.


a) If the manufacturer wishes to replace only 1% of the engines it sells, what is the warranty time it must offer?


b) supposes that Puerto Rico sold 30 engines, what is the percentage of probability that more than 1 customer will claim a guarantee?


c) the cost of repairing a $ 1,500 engine. How much money do you expect to spend for the engines you need to repair and are already under warranty?

Solutions

Expert Solution


Related Solutions

The variable, Age_Months, follows normal distribution, with a mean of 56 and a standard deviation of...
The variable, Age_Months, follows normal distribution, with a mean of 56 and a standard deviation of 20. Answer the following questions. 1) What is the probability that a randomly selected used car is older than 7 years? 2) What are the minimum and maximum ages (in months) of the middle 95% of the used cars? 3) Compute the percentage of used cars ranging from 3 years to 7 years.
A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when...
A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when the production process is in control.   Part (a): Suppose that the lower and upper specification limits are 94 and 106, respectively.  What is the percentage of produced product items that are non-conforming, i.e., do not conform to the specification limits, when the process is indeed in control? Part (b): The management has decided to monitor the process with and R control charts with a sample...
Given a normal distribution with a mean of 120 and a standard deviation of 12, what...
Given a normal distribution with a mean of 120 and a standard deviation of 12, what percentage of values is within the interval 96 to 144? 1. 32% 2. 50% 3. 95% 4. 68% 5. 99.7%
A normal distribution has a mean of u= 60 and a standard deviation of of 12....
A normal distribution has a mean of u= 60 and a standard deviation of of 12. For each of the following samples, compute the z-score for the. Sample mean, and determine whether the sample mean is a typical, representative value or an extreme value for a sample of this size. M=64 for n= 4 scores
Assume a normal distribution with a mean of 90 and a standard deviation of 7. what...
Assume a normal distribution with a mean of 90 and a standard deviation of 7. what limits would include the middle 75% of the cases.
Given that, a random variable Y follows normal distribution with mean of 100 and standard deviation...
Given that, a random variable Y follows normal distribution with mean of 100 and standard deviation of 20. Find P(Y < 140) ?
Power questions. Suppose a population follows a normal distribution with a standard deviation of 1. We...
Power questions. Suppose a population follows a normal distribution with a standard deviation of 1. We take a random sample of n= 100 individuals from this population. We know, then, that sample mean for our population will have the property that X∼N(μ,1/100). (a)If μ= 10, find the probability that X >10.1645 (b)If μ= 10.3, find the probability that ̄X >10.1645 (c)Now, consider testing H0:μ= 10 vs H1:μ >10, using α= 0.05. What is the rejection rule for this test? Give...
A. Assume that x has a normal distribution with the specified mean and standard deviation. Find...
A. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 15.1; σ = 3.5 P(10 ≤ x ≤ 26) = μ = 41; σ = 15 P(50 ≤ x ≤ 70) = μ = 101; σ = 13 P(x ≥ 120) = B. A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) μ = 18; σ = 3.6 P(x ≥ 30) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.8; σ = 3.5 P(8 ≤ x ≤ 12) =
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT