The employee e-mail accounts in one company are using a mean of 1.07 gigabytes of memory with a standard deviation of 0.21 gigabytes. What will be the mean and standard deviation of the distribution of memory usage in megabytes? 1 gigabyte equals 1024 megabytes. Choose 1 answer: Mean: 1.07 megabytes Standard deviation: 0.21 megabytes Mean: 1.07 megabytes Standard deviation: 215 megabytes B. Mean: 1096 megabytes Standard deviation: 0.21 megabytes Mean: 1096 megabytes Standard deviation: 215 megabytes Do 4 prhl

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: If the average weight for cats is 12 pounds and the standard deviation is 2 pounds. 95 percent of…

A: Given data:  average weight for cats = 12 pounds standard deviation = 2 pounds. To find: 95 % of all…

Q: The mean assessed value of homes in Southern County is $158,000 with a standard deviation of…

A: Old mean = E(X) = 158000 Old SD = SD(X) = 32000

Q: How tall is a woman in the 3rd percentile?

A: Let X be the height of adult women in the US. Given that, X ~  N(mean=64.5, sd=3.1) To find the…

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

A:

Q: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Suppose that resting pulse rates of adult males are normally distributed with a mean of 72 beats per…

A: The following information has been provided: Let X be a random variable represents the resting pulse…

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

A:

Q: Assume the cholesterol levels of adult American women can be described by a Normal model with a mean…

A: According to the given information, we have Mean = 188 mg/dL Standard deviation = 24 mg/dL

Q: According to a medical journal, the distribution of weights of newborn babies is approximately…

A: The objective of this question is to find the percentage of newborn babies that weigh between 3100…

Q: The relative frequency histogram represents the length of phone calls on​ George's cell phone during…

A: A histogram is a visual representation of continuous data.

Q: Find the standard deviation if the mean = 2, mode = 5, variance = 56 . Round your answer to three…

A: We have given that,  Mean (x̄) = 2 , mode (z) = 5 and variance        (s^2) = 56 Then,  We will find…

Q: once, so that they na standard deviat

A: Alex cuts four sticks one at a time and their lengths are independent  with mean = 8 and Standard…

Q: Scores on a test have a mean of 8181 and a standard deviation of 1313. Michael has a score of 9393.…

A:

Q: Suppose the rate of misprints in the printed text from a given publisher is three misprints per one…

A: The question is about discrete probability distribution.Introduction :1 ) Let, X be discrete random…

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…

Q: Find the area of the shaded region. The graph to the right depicts scores of adults, and those…

A: normal distribution curve is given μ = 100σ = 15area shaded to the left of 120.

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Suppose that the amount of caffeine (in milligrams) in an 16 fluid ounce energy drink can be modeled…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The heights of all women in the United States are known to be normally distributed with a mean of 63…

A: According to the given information, we have Given that the heights of all women in the United States…

Q: Explain why we need to square the deviations from the mean in our calculation of the standard…

A: 3) The deviation formula is, Deviation=Xi-Mean In the formula Xi is individual scores.

Q: A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard…

A:

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!