The mean price of a computer sold at a particular store is $949 with a standard deviation of $75. The z-score of a certain computer is -0.8. What is the price of the computer?

Q: A dpt store has a daily mean sales of $28,372.72. The standard deviation of sales is $2000. On…

A: Given: Daily μ=28372.72σ=2000 On Tuesday x=34885.21

Q: On the Gulf Freeway at 7:00 AM, the average travel time from Beltway 8 to Downtown is 29.5 minutes…

A: From the given information,   Mean = 29.5 Standard deviation = 11.2   The objective is to calculate…

Q: if heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard…

A:

Q: Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of…

A: Introduction:Consider X as a normally distributed random variable, with mean μ and standard…

Q: Statewide, the average score on the verbal portion of the college entrance exam is 453, with a…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: The We Go Farther Tire Company advertises a tire that lasts for 80,000 miles. The mileage for the…

A:

Q: A set of test papers is normally distributed with a standard deviation of 5. If Riley scored an 83…

A:

Q: find the z-score for the value 95, when the mean is 77 and the standard deviation is 2.

A: Given, mean=77 standard deviation=2 find the z-score for the value 95

Q: . Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score…

A:

Q: 2. The mean height for men is 70 inches with a standard deviation of 5 inches. Find the z- score of…

A: For the first question there is no data of 12 adult males in an office. So, iam answering for the…

Q: 1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the corresponding Z score ? Mean is 70, standard deviation is 10 and X= 89

A: We have to find z score.

Q: A set of data items is normally distributed with a mean of 80 and a standard deviation of 9 .…

A: Given A set of data is normally distributed with mean of 80 and standard deviation of 9 and x=71.so,…

Q: A score that is 6 points below the mean correspond. to a z-score of z = -2.00. What is the…

A: The following is the formulae for z-score                       i.e., z=X-μσ Here, X is variable…

Q: The average number of acres burned by forest and range fires in a large New Mexico county is 4,300…

A: GivenMean(μ)=4300standard deviation(σ)=750

Q: The length of time it takes a Grade 11 student to play the Candy Crush computer app follows a normal…

A: Given that  The length of time it takes a grade 11student to play the candy crush computer is…

Q: On a standardized exam, the scores are normally distributed with a mean of 35 and a standard…

A:

Q: A standardized test of intelligence is scaled so that the mean IQ is 100, and the standard deviation…

A: Given that information  Mean = mu= 100  Standard deviation = s =15  Zscore = (x - mu)/s

Q: A college entrance exam scores are approximately normally distributed with a mean value of 145 and a…

A: Solution: Let X be the college entrance exam score. From the given information, X follows normal…

Q: A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000…

A: Given : Let X : Number candy that they sell in a given day           μ = 8 million i.e   Mean (μ) =…

Q: Many families in California are using backyard structures for home offices, art studios, andhobby…

A: Let us consider X be a random variable which denotes the cost of shingled backyard structure which…

Q: Given a distribution with a mean of 70 and a standard deviation of 62, find a value with a z-score…

A:

Q: In a particular examination, the mean score is 82 and the standard deviation is 3.7. Wha is the Z-…

A: Given that the mean is 82 and standard deviation is 3.7. That is, μ=82σ=3.7

Q: For a sample of raw scores, you calculate a mean of 15.25 and a standard deviation of 3.19. What is…

A: Introduction:Suppose a random variable, X has sample mean, x̅ and sample standard deviation, s.For a…

Q: A class midterm had an average score of 75% with a standard deviation of 4%. Based on your answer…

A: Unusual: When z-score is less than -1.5 and greater than 1.5 then the event is said to unusual. The…

Q: For a sample of 18 cars, you find the standard deviation of the price is 6150. What is the standard…

A: Given: Sample size=n=18,Standard deviation=σ=6150.

Q: The scores of students on an exam are normally distributed with a mean of 241 and a standard…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 241 and…

Q: The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for…

A: It is given that the mean test score and standard deviation for history test are 63 and 9, the mean…

Q: Adult women in the U.S. have a mean height of 64.3", with a standard deviation of 2.58 inches.…

A:

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: At a college, the mean height of women is 63 inches with the standard deviation of 3 inches. What is…

A: Given,mean(μ)=63standard deviation(σ)=3

Q: What is the z-score of a value of 27, given a set mean of 24, and a standard deviation of 2?

A:

Q: The scores of students on an exam are normally distributed with a mean of 403 and a standard…

A:

Q: A z-score of +1.6 represents a value which is how many standard deviations above the mean?

A:

Q: A normal distribution has a mean of 148 and a standard deviation of 5. Find the z-score for a data…

A: Solution: Let X be the data value. From given information, X has mean µ=148 and a standard deviation…

Q: Books in the library are found to have an average length of 350 pages with a standard deviation of…

A: Given that, Books in the library are found to have an average length of 350 pages with a standard…

Q: Is is unusual for someone to run a 4 minute mile if the mean time is 10.2 minutes and the standard…

A: From the provided information, Mean (µ) = 10.2 Standard deviation (σ) = 2.9 X~N (10.2, 2.9)

Q: John scored 60 in a quiz in Math for which the average score of the class was 50 with a standard…

A: Z score is given by where, X is score is mean  is standard deviation

Q: On a standardized exam, the scores are normally distributed with a mean of 170 and a standard…

A: We have to find z score..

Q: The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation…

A: Total students = 200 Standard deviation = 10 And distribute mean = 72 We have to find the number of…

Q: A grade of 81 in a test in which the mean is 75 and the standard deviation is 12 corresponds to a…

A:

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

Q: A group of friends compares what they received while trick or treating. They find that the average…

A: Solution: Let X be the number of candies. From the given information, µ=43, σ= 2 and z-score is…

Q: On a standardized exam, the scores are normally distributed with a mean of 450 and a standard…

A:

Q: A farmer claims that the average fat content in his chickens is 29 g. A researcher tested 36…

A: From the provided information, Sample size (n) = 36 Sample mean (x̅) = 30.1 g Sample standard…

Q: The College Board National Office recently reported that in 2011-2012, the547,038 high school…

A: The given information is:

Q: The scores of students on an exam are normally distributed with a mean of 193 and a standard…

A:

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: on an exam, Tom scores 12 points above the mean and has a z-score of z=+2.00. the standard deviation…

A: It is given that the difference between mean and raw score is 12 and the z score is 2.

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!