a) The lengths of carrots can be assumed to follow a Normal distribution withmean 18 cm and standard deviation 2.5 cm.A supermarket will accept carrots with lengths between 14 cm and 22 cm.What percentage of carrots will not be accepted by the supermarket?b)In a large college, 20% of students are aged over 18.A group of 30 students is chosen at random.Find the probability between 5 and 8 students inclusive are aged over 18.A discrete random variable, X, has probability function P(X = x) = kxfor x = 1, 2, 3, 4, 5.c)i) Show that kii) Find E(X).=15You are given E(X²) = 15.iii) Find Var(X).Another random variable, Y, is connected to X by the formula Y = 6X - 5.iv) Write down E(Y) and Var(Y).

It is given Mean, μ = 18Standard deviation, σ = 2.5Z-Score, Z = ( X - μ )/σwhere, Z be the standard…

Answered: a) The lengths of carrots can be…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A survey found that women's heights are normally distributed with mean 63.6in and standard deviation 2.2 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? a. The percentage of women who meet the height requirement is nothing%. (Round to two decimal places as needed.)
The weights for newborn babies is approximately normally distributed with a mean of 6.5 pounds and a standard deviation of 1.3 pounds.Consider a group of 1400 newborn babies:1. How many would you expect to weigh between 3 and 8 pounds? 2. How many would you expect to weigh less than 6 pounds? 3. How many would you expect to weigh more than 4 pounds? 4. How many would you expect to weigh between 6.5 and 10 pounds?
3. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. a. What percent of passenger vehicles travel slower than 80 miles/hour? What percent of passenger vehicles travel between 60 and 80 miles/hour? B. How fast do the fastest 5% of passenger vehicles travel? C. The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway per hour and 85 miles per hour. (Assume the data set has a bell-shaped distribution.) 70 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whese speeds are between 55 miles Approximately% of vehicles travel between 55 miles per hour and 85 miles per hour.
Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and standard deviation=7. For a sample of n=40, what is the corresponding mean and standard deviation of the sampling distribution?
In 2011, the mean property crime rate (per 100,000 people) for 10 northeastern regions of a certain country was 2367. The standard deviation was 394. Assume the distribution of crime rates is unimodal and symmetric. What percentage of northeastern regions would you expect to have property crime rates between 1973 and 2761.
The standard deviation of a sample is 3.0 and the standard error is -16.52, what was the original sample size?
a) In the process of designing an airplane, men were measured to determine the size of the seat that was needed. Men have mean hip width of 36.6 cm and a standard deviation of 2.5 cm. Copy and complete the picture below as we have done in class. b) What percentage of men will have hip widths between 36.6cm and 44.1 cm c) About 95% of men will have hip widths between what lengths?

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a) The lengths of carrots can be assumed to follow a Normal distribution with mean 18 cm and standard deviation 2.5 cm. A supermarket will accept carrots with lengths between 14 cm and 22 cm. What percentage of carrots will not be accepted by the supermarket?