If the heights of intramural college basketball players are normally distributed with mean u = inches and standard deviation o = 6.5 inches. What is the percentage of intramural basketball 70 players that have the height between 63.5 and 76.5 inches?

Q: Assume that the hourly costs of operating a commercial aircraft are normally distributed with a mean…

A:

Q: Former basketball player, Rebecca Lobo, is 6'4" (or 76 inches). Suppose the average height of women…

A: We know, (1 foot = 12 inch)Given;X: height of womenmean(X)=μ=5'4''(i.e. 5 foot 4 inches)=64''(i.e.…

Q: Professor Z had the following grade distribution in her class:…

A: Data with regard to a single variable is called as univariate data.One of the measure is measure of…

Q: First round the numbers 7887 and 7009 to the nearest hundred. Then use this to estimate the…

A:

Q: For this set of data, the standard deviation (s) is equal to: 9, 8, 10, 5, 5, 2, 3, 6, 3

A: Mean:The formula for finding mean is shown below:

Q: The lowest and the highest data value of a data set are 12 and 28 respectively, then the approximate…

A:

Q: The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6…

A: Given  nw=117, x¯w=46.7 and  sw=11.4 And           nnw=86, x¯nw=38.4 and  snw=15.4

Q: The weights in ounces of newborn infants were recorded by a hospital. The weights were 88, 99, 82,…

A: Given data,   88, 99, 82, 81, 84 and 100   First find the sample mean. Mean:

Q: the following data set represents the number of new computer accounts registered during 5…

A:

Q: Find the mean, 80th percentile and standard deviation: 2,-3,7,5,-2,3

A: Solution-: Given data: 2,-3,7,5,-2,3 We want to find, (a) The mean=? (b) The 80th percentile=? (c)…

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A:

Q: An IQ exam has a mean of 110 and a standard deviation of 12. What percent of people have an IQ score…

A: Given mean= 110 Standard deviation=12 We know that Z=X-mean/standard deviation

Q: Find the mean and standard deviation for the given data set, 34,56,23,11,76,85,94,54,66,10

A: According to the given information in this question We need to find the value of mean and standard…

Q: What is a common way to measure the center of a distribution of data?   a. scatter plot…

A: The objective of the question is to identify a common statistical measure that is used to determine…

Q: video game c

A: given, sample size(n) = 1500 sample mean (x̄) = 115 sample stadard deviation (s) = 11

Q: Refer to the information in the below chart. Find the mean and standard deviation of the total…

A: The mean involves all the observation in the sample or population, it is calculated by adding all…

Q: he frequency distribution in the table represents the square footage of a random sample of 510…

A: square footage frequency(f) midpoint(x) 0-499 8 249.5 500-999 16 749.5 1000-1499 38 1249.5…

Q: ould have the right to marry. (The 2014 data were collected before the 2015 US upreme Court decision…

A: There are four types of level of measurement, i.e.,  Ratio scale: data is continuous and have a…

Q: Deforestation along the Sierra Madre mountains have been especially notorious. The average number of…

A: Given that.   X~N( μ , ?)   μ=4373    , ?=610   Z-score =( x - μ )/?

Q: Consider the following distribution of scores: 2,5,3,7,6,5. What is the mean?

A:

Q: Can the median split a distribution into a 85% : 15% frequency ratio of the observations?

A: Given: split the distribution into a 85% : 15% frequency ratio of the observations

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A: The highway mileage (mpg) for a sample of 8 different models of a car company is given as:19, 23,…

Q: The distribution of heights of adult Filipino is approximately normal with a mean of 69 inches and…

A:

Q: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

A: A recent survey found that 61​% of all adults over 50 wear glasses for driving. In a random sample…

Q: The heights of women are approximately Normal with mean 63.7 inchs and standard deviation 2.5…

A: Given information For Women Mean (µ1) = 63.7 inches Standard deviation (σ1) = 2.5 inches For men…

Q: amount of honey produced by local beekeepers is normally distributed with a mean of 140 pounds and a…

A: given data, normal distribution mean=140standard deviation=31smallest amount in the top 14% produced…

Q: The heights of women aged 18 to 24 are approximately normal with a mean of 65 inches and a standard…

A: Given that  X~N(μ= 65 , σ= 2.5 ) μ= 65 , σ= 2.5 Formula for Z-score Z=(X-μ)/σ

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: The question is about measures Given : Data : 46, 22, 35, 26, 22, 53, 33, 42, 59   To find : Mean…

Q: The following are ages in years of nine employees of a large company. 46, 22, 35, 26, 22, 53, 33,…

A: Given: The sample data is: 46,22,35,26,22,53,33,42,59

Q: The Bureau of the Census provides figure on the average annual income of all Pakistan households in…

A: Given that The mean household income in 2015 = $32,144. The median household income in 2015 =…

Q: The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of…

A: From the given information, the mean of women is 63.6 inches and standard deviation is 2.5 inches.…

Q: Given the set of data: (77, X. 75, 79, 79, X, 76, 75, X, 76}. If the unknown data X is the mode and…

A:

Q: percent of men meeting these height requirements.

A: Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a…

Q: the grouped data?

A:

Q: A baseball team is reviewing their batting statistics. The mean number of hits for the batters on…

A: Given Population mean μ=124,  standard deviations σ=14.5  Let X be the baseball team is reviewing…

Q: Which statistic would you use if you are interested in comparing the mean number of hours worked by…

A: In this study, the mean number of hours worked by sex(men and women) are interested in comparing.…

Q: list the number of expenses for each day and create a graphical representation of the gathered data.…

A: list the number of expenses for each day and create a graphical representation of the gathered data.…

Q: C2. GSS 2014 and GSS 2018 respondents were asked their opinion on whether homosexuals should have…

A: Given information: GSS 2014 and GSS 2018 respondents were asked their opinion on whether…

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given information- Population mean, µ = 67 inches Population standard deviation, σ = 3 inches We…

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!