1. Refer to the various selling prices of various homes in acommunity that follow the normal distribution with mu(population mean) = $276,000 and sigma (standard deviation –measure of dispersion) = $32,000.Calculate the probability that the next house in the communitywill sell for between $276,000 and $325,000.

Answered: Image /qna-images/answer/8bc8cc33-e36c-4dbc-9e5b-dcdcedd5b024.jpg

Answered: 1. Refer to the various selling prices…

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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Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 7. The teacher wishes to give A's to the top 6% of the students and F's to the bottom 6%. The next 16% in either direction will be given B's and D's, with the other students receiving C's.What is the cumulative distribution? Grade Percent Cumulative A 6% % B 16% % C % % D 16% % F 6% %
1. Draw by hand or in Excel fully labelled curves on a common scale to represent two sets of scores where:a.Mean = 25, Standard Deviation = 4,Mean = 50, Standard Deviation = 4.b.Mean = 50, Standard Deviation = 2,Mean = 50, Standard Deviation = 5.
1. The amount of time a Tech student spends on Instagram has an approximately exponential distribution with mean 60 minutes. a. What is the probability a randomly selected student spends less than 45 on Instagram? b. Illustrate your answer from a. using the pdf c. Find the cumulative distribution function for the time students spend on Instagram. d. What is the probability a randomly selected student is on Instagram for a time within 2 standard deviation of the mean?
Part 2. Complete the following statements. A) The cumulative enrolment is the enrolment of the intervals smaller than the interval in question or equal to the latter. The graph of cumulative enrolment is represented by a function in B) The average, median and mode are three measures of of the C) The term refers to any data that deviates disproportionately from others. D) When the residual values are zero, then the correlation is called
In a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
B. Solve each problem and construct a normal curve. 1. Your monthly electric bill has a mean of P1,500.00 and a standard deviation of P120.00. What is the percentage that you will pay an amount between P1,380 and P1,740? 2. Suppose the scores in the Mathematics exam are normally distributed. If the exam has a mean score of 25 and a standard deviation of 5, what is the probability that if you take the exam you will get a score higher than 30 points?
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Q. 2. Suppose Country B's government now reports that its population mean disposable household income is $1,000 per month, with a standard deviation of $150. Country A's population mean is $1,100, with a standard deviation of $310. a. b. Which country has more variation in income? Explain using popular phrases, such as "gap between rich and poor." Each country defines the poverty level to be $755. If you assume that income has a normal distribution, find the probability that a household's income is below the poverty level in i. Country A ii. Country B Does it seem reasonable to assume a normal distribution? In general, is income symmetric or skewed?
A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795) d. (2600, 2800)
1. A consumer survey indicates that the average household spends µ = $185 on groceries each week. The distribution of spending amount is approximately normal with a standard deviation of σ = $25. Based on this distribution. B. What proportion of the population spends more than $250 per week on groceries?
a quantitative data set has mean 25 and standard deviation 5. what percentage of the observations lie between 15 and 35

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