Statisticians use what symbol for the standard deviation?

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: The rule that describes the percentage of data within 1, 2, and 3 standard deviation of the mean is…

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Q: Biology A biologist found the wingspans of a group of monary butterflies to be normally distributed…

A: a) Given that, the value of mean is μ=52.2 and standard deviation is σ=2.3. Obtain the percent of…

Q: Salespeople for a solar technology company have average annual sales of $400,000, with a standard…

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Q: A statistician uses Chebyshev's Theorem to estimate that at least 90 % of a population lies between…

A: We have to find correct answer for given data..

Q: Expenditures per shopper at Upscale Clothing have a mean of $130 and a standard deviation of $40 and…

A: Given Information:Mean = $130Standard deviation = $40

Q: The best point estimate of the population mean is: the population standard deviation. the sample…

A: We know that, Sample mean: It is the sum of all the observations divided by the total number of…

Q: Assume a binomial distribution where n =3 and II=0.60. a. Refer to Appendix B.1, and list the…

A: Binomial distribution describes the possible number of events occurs in fixed number of trials.…

Q: art professor gives an A to any student in the top 9% of the distribution. The grades are normally…

A: Given X~N(mean μ=60, standard deviations σ=5) P(X>b)=9%

Q: Exam scores have a normal distribution, with Mean of 70 and Standard deviation of 10. Bob’s score…

A: Exam scores have a normal distribution, with Mean of 70 and Standard deviation of 10. Bob’s score…

Q: The age distribution of a town's population is normally distributed, with a mean of 43 and a…

A: The age distribution of a town's population is normally distributed, with a mean of 43 and a…

Q: uppose you know that the amount of time it takes your friend Susan to get from her residence to…

A: It is given that the mean and standard deviation are 50 and 5, respectively.

Q: Temperatures in June in the Paradise City are distributed nearly normally with mean 80 degrees and…

A: Solution: Let X be the temperatures in June in the paradise city. From the given information, X…

Q: Test the claim that the standard deviation of the ages of psychologist in California is 7.3 at 0.01…

A: Given information: A random sample of size n = 15 psychologists is randomly selected. Sample…

Q: SAT tests have a mean of 500 and a standard deviation of 100. They are normally distributed. Amy got…

A: Given data normally distributed with mean = 500 and standard deviation = 100.Let ‘X’ be a normal…

Q: Tossing Coins Find the mean, variance, and standard deviation for the number of heads when 11 coins…

A: Given that  Number of heads when 11 coins are tossed is. n=11 The probability of head when tossing…

Q: Explain the statistics measure standard deviation. Provide the formulas used to calculate the…

A: We want to define standard deviations and difference between population standard deviations and…

Q: Score Frequency 73 74 1 76 81 6. 82 91 5 2.

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Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: Given information middle 68% of the scores fall between 69 and 81 As per empirical rule 68% of data…

Q: The numbers examined, the mean weight and the standard deviation in each group of examination and…

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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!