(b)Let x denotes the number of defective watch in a randomly selected box ofa dozen of watches branded Fossel.1345P(x)0.450.250.160.090.030.02Calculate the mean, variance as well as standard deviation of x.Compute the probability that the box contains at most two defectivewatches and interpret the answer.(ii)Compute the probability that the box contains less than twodefective watches. Justify the lower probability value compared toanswer in (ii).(ii1)

Answered: Image /qna-images/answer/10ef0020-d5f9-46c7-adae-0d9037608183.jpg

Answered: (b) Let x denotes the number of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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9. (Back when campus what regularly open in the semester.) The length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1.0 minutes. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.5 minutes. (A) 0.2674 (B) 0.3085 (C) 0.1915 (D) 0.3551
Find probability that cholesterol level is mostly 250 Round to hundredths
The typical weight of a donut that you'd buy at Bronuts Bakery is 26 grams. Suppose that x is a random variable that describes the weight of a donut bought from this bakery. It turns out that the distribution of x is a normal distribution, the mean weight is μ = 26 grams and the standard deviation is a = 3 grams. Suppose that you work as a donut delivery person and you're carrying around a giant bag of these donuts. If you were to randomly pick a single donut from the bag... (a) What is P(x 28 grams)?
Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is
Two students are taking a college entrance exam and known to have a normal distribution of scores. Both students receive raw scores of 60 and 97, which correspond to z scores (often called the standardized scores) of -1.5 and 3 respectively. 1 Denote the normal probability distribution of the raw exam scores. 2 Calculate the value of mean for the distribution of raw exam scores. 3 Calculate the value of standard deviation of the raw exam scores.
A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement a. Find the probability that at least one unacceptable washer is in the sample b. Calculate the mean of (x) c. Calculate the standard deviation of (x)
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
An X random variable comes from any distribution with 21 averages and 17 variances. What is the probability that a sample of 45 randomly selected from this stack has a sample mean between 20 and 26? Calculate.
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eight months with a sample standard deviation of five months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x = (ii) Enter an exact number as an integer, fraction, or decimal. sx = (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal places.) , (ii) Sketch the graph. (Round your answers to two decimal…
Hugo averages 41 words per minute on a typing test with a standard deviation of 7.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X = the number of words per minute on a typing test. Then, X - N(41, 7.5). Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is x = 45 is This z-score tells you that standard deviations to the (right/left) of the mean, Correctly fill in the blanks in the statement above. Select the correct answer below: Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.533. This z-score tells you that x = 45 is 0.533 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x = 45 is -0.381. This z-score tells you that x = 45 is 0.381 standard deviations to the left of the mean, 41. Suppose Hugo types 45 words per minute in a typing test on Wednesday. The…
Leave all probabilities as percentages, define x on all problems with data. Simple random samples of high interest (8.9%) and low interest (6.3%) mortgages were obtained. For the 40 high interest mortgages, the borrowers had a mean FICO credit score of 594.8 and a standard deviation of 12.2. For the 40 low interest mortgages, borrowers had a mean FICO credit score of 785.2 and a standard deviation of 16.3. Use an alpha level of 0.01, and a two tailed test of hypothesis to test the claim that the mean FICO score borrowers with a high interest mortgage is the same as the mean FICO score of borrowers with the low interest mortgage.
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x = (ii) Enter an exact number as an integer, fraction, or decimal. sx = (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 = Part (b) Part (c) Part (d) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) Explain your choice. Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal…

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