A company produces a type of pump used in offshore installations. All ready-made pumps arefunctionally tested, and one or more faults are found on some of the pumps. Based on long-termexperience, it is known that the number of faults found per pump, X, has the probability distributiongiven in the table belowX01 2 3P(X=x)0.92 0.05 0.02 0.01a) What is the probability that a pump has at least one fault?Calculate E(X) and Var(X).The cost associated with testing and correcting errors per pump can be expressed as K =1500+2000X.Find E(K) and SD(K).

The random variable X is the number of faults are found per pump and the probability distribution is…

Answered: A company produces a type of pump used…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. Help with the last question
A factory produces steel ball bearings. For one particular type of bearing produced it is known that μ=40.2 σ=2.5 If 50such bearings are removed from the production line and tested, what is the probability the mean weight will be less than 31.0 grams?
Question 1 POST OFFICE According to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a mean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment box and let S be the total weight of a random sample of size 9. 1. Describe the probability distribution of X and state its parameters and o: ✓x (μ= X~N 22.70 4.5 2. Explain why the Central Limit Theorem cannot be used T and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs. 0.0069 X (Round the answer to 4 decimal places) the original population is normally distributed although the sample size is small (n<30)
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 15 cards in all. What is the probability of drawing at least 7 diamonds? For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation. E(X) = o =
You want to find the probability that people will return a shopping cart to the corral after loading the groceries in their vehicle. For a 4 hours period, you observe the number of people who returned their cart and the number who did not. A success in this case would be that the person returned their cart. Choose the best statistical tool to calculate this probability A. Use the Central Limit Theorem to find the probability that the sample mean exceeds a certain value B. Use the empirical rule to find the number of cars that bracket 68% of the data C. Calculate a confidence interval for the population mean D. Calculate the total number of successes divided by the total number of observations to find the observed probability
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Question 4 According to the WHO, the birth weight for male babies born full-term is normally distributed with a mean 90.1 oz and a standard deviation of 17.3 oz. Let X be the birth weight of a randomly selected male baby born full-term. 1. Describe the probability distribution of X and state its parameters and σ: X Select an answer Select an answer XTBZEN a. less than 128.5 oz. b. between 61.9 and 82.1 oz. c. more than 131.7 oz. X² (μ = 2. Find the probability that the birth weight of a randomly selected male baby born full-term is 3. Find the 65-th percentile for the birth weight. 0 = (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) oz (Round the answer to 1 decimal place)
Soledad and Tania are both high school students. The number of texts Soledad sends daily, S, is approximately Normally distributed with a mean of 100 and a standard deviation of 6 texts. The number of texts Tania sends daily, T, is approximately Normally distributed with a mean of 108 and a standard deviation of 8.1 texts. Assume that S and T are independent random variables. Let D = S – T. What is the probability that Soledad sends more texts on a randomly selected day? 0.104 0.214 0.786 0.896

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS