2-67. A maintenance firm has gathered the following infor- mation regarding the failure mechanisms for air conditioning systems: evidence of gas leaks yes no evidence of yes 55 17 electrical failure no 32 3 The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability (a) That failure involves a gas leak (b) That there is evidence of electrical failure given that there was a gas leak (c) That there is evidence of a gas leak given that there is evidence of electrical failure

2-67. A maintenance firm has gathered the following infor- mation regarding the failure mechanisms for air conditioning systems: evidence of gas leaks yes no evidence of yes 55 17 electrical failure no 32 3 The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability (a) That failure involves a gas leak (b) That there is evidence of electrical failure given that there was a gas leak (c) That there is evidence of a gas leak given that there is evidence of electrical failure

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

Related questions

Q: We are interested in determining whether or not illness is independent of smoking. a. State the…

A: Given : Illness Non-Smokers Smokers Totals Emphysema 20 50 70 Heart problem 70…

Q: 1) Assume the gas mileage for a car is normally distributed with a mean of 20.0 miles per gallon and…

A: We hvae to find given probability..

Q: Manufacture of a certain component requires three different machining operations. Machining time for…

A: For the given data Find the p( atmost 1 hour ) = ?

Q: he random variable x has the following probability distribution: f(x) 25 1 20 .15 .30 4. .10 3.

A: Given data,

Q: After many years of product car batteries testing, a company knows that the average life of a…

A: Solution: Let X be the life of a battery. From the given information, X follows normal distribution…

Q: Manufacture of a certain component requires three different machining operations. Machining time for…

A: The question is about normal distributionGiven :Mean machining time of Machine 1 ( ) = 30 minStd.…

Q: Manufacture of a certain component requires three different machining operations. Machining time for…

A: given data μ1 = 20 minμ2 = 30 minμ3 = 15 minσ1 = 2 minσ2 = 1 minσ3 = 1.3 minP( total time <1…

Q: The manager of a computer retail store is concerned that his suppliers have been giving him laptop…

A: Solution

Q: A manufacturer of MP3 players conducts a set of comprehensive tests on the electrical functions of…

A: Sample size n=1000Favorable cases x=970

Q: Manufacture of a certain component requires three different machining operations. Machining time for…

A: Given Mean values are 15,20,30 min Standard deviation are 2,1,2,7 min

Q: The average time it takes for a Conancorp unpaid intern to run fourteen stories of stairs to get…

A: From the provided information,

Q: An employment information service claims the mean annual salary for senior level product engineers…

A: Let us consider a sample taken from the population. Let the mean significance between the sample…

Q: A)Compute the expected number of arrivals per minute. B) Compute the standard deviation. C)What…

A: Consider that the random variable X defines the arrival time.

Q: Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy…

A: Mean=μ=44, Standard deviation=σ=8

Q: standard deviation of such tariff rates is $1000, determine the probability that the mean tariff…

A: Given Standard deviation=1000 n=200

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

100%

2-67. A maintenance firm has gathered the following infor-
mation regarding the failure mechanisms for air conditioning
systems:
evidence of gas leaks
yes
no
evidence of
yes
55
17
electrical failure
no
32
3
The units without evidence of gas leaks or electrical failure
showed other types of failure. If this is a representative sample
of AC failure, find the probability
(a) That failure involves a gas leak
(b) That there is evidence of electrical failure given that there
was a gas leak
(c) That there is evidence of a gas leak given that there is
evidence of electrical failure

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The following contingency table shows the results of a random sample of customers classified by two variables, namely age group and favorite way to eat ice cream. You are to test if there is any association between gender and the favorite way to eat ice cream. Cup 100 150 120 Cone 120 120 100 Sundae 111 120 120 Young Kids Teenage Adults What is/are the parameter(s) of investigation? b. State the null and alternative hypotheses. Construct the table for expected frequency. d. Suppose that the calculated test statistic is 7.44. What is the p-value? What is your conclusion for this test? а. С. е.
3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
. The demand for high-grade gasoline at a service station is normally distributed with mean 27,009 gallons per day and standard deviation 4,530. Find two values that will give a symmetric 0.98 probability interval for the amount of high-grade gasoline demanded daily.
a) Calculate the standard deviation of the following estimated probability distribution of hurricane evacuation time: Time to Evacuate nearest hour Probability 13 0.04 14 0.25 15 0.40 16 0.18 17 0.10 18 0.03 b) Phone call arrive at the rate of 48 per hour at the reservation desk for Regional airways. Calculate the probability of receiving three calls in a five-minute interval of time. c) A university has found that 20% of its students withdraw without completing introductory calculus course. 20 students have registered for the course this quarter. Calculate the following: i) Probability that two or fewer will withdraw. ii) Mean of withdrawals.
(A), (B) and (C). Please!
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. 39.9 40.6 41.3 42 42.7 43.4 44.1 inches O -2.1-1.4 -0.7 0 0.7 1.4 2.1 inches O 10 14 18 22 26 30 34 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) 0.8490 X inches 19.9 20.6 21.3 22 22.7 23.4 24.1 inches
the answer is not 0.0294
W). The nossible outcomes from a business venture are graded from 5 to 1, as shown in the following table. Grade 4 oin 3 1 Outcome High profit Fair profit No loss Small loss Heavy loss 0.24 0.33 Probability 0.24 0.11 0.08 Calculate the expected grade and use it to describe the expected outcome of the venture. Find the standard deviation and explain what it gives a measure of in this case. h. Investigate the expected outcome and the standard deviation when the grading is reversed (i.e. high profit is graded 1, and so on). Compare these outcomes with those from part a.
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 30, and 15 min, respectively, and the standard deviations are 1, 2, and 1.3 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component? (Round your answer to four decimal places.) In USE SALT
1. The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.1 years and a standard deviation of 0.6 years. He then randomly selects records on 11 laptops sold in the past. Round the answers of following questions to 4 decimal places. For 11 laptops, find the probability that the average replacement time is more than 2.9 year. 2. The average number of miles (in thousands) that a car's tire will function before needing replacement is 70 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. 2.For the 15 tires tested, find the probability that the average miles (in thousands) before the need for replacement is between 68.6 and 71.5 3. Business Weekly conducted a…
The average production of all machines in a fabrication is 18 finished materials in one hour with a standard deviation of 4 materials per hour. What is the probability that a sample of 6 machines will produce more than 20 materials per hour? A. 10.12% B. 11.12% C. 11.15% D. 12.11%