3. a) The weight of white lab mice has a normal distribution. What is the mean and variance ofwhite lab mice weight if it is known that 99.2% of the mice have a weight that is less than 171.15grams and 12.1% have a weight that is above 152.55 grams?b) The weight of black lab mice has a normal distribution with mean of 140 grams and standarddeviation of 16 grams. What is the probability that among 4 randomly sampled black mice therewill be 3 that weigh more than 148 grams and one that weighs less than 148 grams?c) The weight of gray lab mice has a normal distribution with mean of 120 grams and variance of100 grams. The lab contains 40 black mice and 20 gray mice. A mouse is chosen randomly.Given that its weight is less than 130 grams what is the probability that the mouse is black?

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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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structure.com/courses/79811/quiz2 14) Use AVOVA to test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table. Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Find the P-Value. Use a = 0.01. Brand 1 Brand 2 Brand 3 260 250 218 238 230 249 174 185 235 O No; P-Value = 0.8929 %3D O No; P-Value = 0.0095 %3D O Yes; P-Value = 0.8925 %3D O Yes; P-Value = 0.0091
The owner of a fast-food restaurant knows that, on average, 2.4 cars (customers) use the drive-through window between 3 pm and 3.15 pm. Find the variance and standard deviation Find the probability that exactly two cars will use the drive-through window Find the probability that at least three cars will use the drive-through window
18. Among female in city between 18 and 74 years of age, diastolic blood pressure is normally distributed with mean u=77 mmHg and standard deviation=11.6 mmHg.a. what is the probability that a randomly selected woman has a diastolic blood pressure less than 60 mmHg?b. What is the probability that she has a diastolic blood pressure greater than 90 mmHg?c. What is the probability that the woman has a diastolic blood pressure between 60 and 90 mmHg?
6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
An urn contains 7 black and 18 white balls. A ball is randomly drawn from the urn. Let X = 1 if a white ball is drawn and let X = -1 if a black ball is drawn. Find the following a) mean of X b) variance of X Please provide your working and round your answers to 2 decimal places
9. Women's heights are normally distributed with a mean of 63.8 in and standard deviation of 2.6 in. a) If one woman is randomly selected, find the probability that her height is less than 62.4 inches. b) If one woman is randomly selected, find the probability that her height is more than 64.5 inches. c) If one woman is randomly selected, find the probability that her height is between 61.0 inches and 68.0 inches. d) If 24 women are randomly selected, find the probability their mean height is less than 62.1 inches. e) Find P17.
The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool of eleven students and nine faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of all faculty? (c) What is the probability of selecting a jury of three students and five faculty?
Suppose the weight of turkeys in a store are normally distributed with mean 15.5 lb and standard deviation 2 lb. If a turkey is grabbed at random what is the probability that the weight will be less than 16 lb?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 137 lb and a standard deviation of 34.8 lb. if 35 different pilot are randomly selected find the probability that their mean weight is between 130 lb and 181 lb
The weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in the histogram. The weights are presented in pounds. There are 235,428 turkeys in this population. Calculate the probability that, in a random sample of eight turkeys, the mean weight is between 17 and 20 pounds. First, draw a picture with the rounded mean and values labeled and the shaded area representing the desired probability. Next, take a picture of your hand drawn sketch and upload it (if you do not have this technology, you may use any other method (i.e. Microsoft paint) to sketch the image). Then, complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show your work “by hand”.
Hi, Respected M'am! Could please solve this question ASAP. Q: Marks on a CSS exam were normally distributed with a mean of 60 and a variance of 36.a. Find the probability that a randomly selected CSS exam will have a mark of at least 66?b. What percentage of CSS exams will have marks between 48 and 51?c. If the top 3.92% of CSS marks receive merit awards, what is the lowest mark eligible for an award?d. If there were 334 CSS exams with marks of at least 69, how many students took the exam?
6. Frackly Oil is sold in 900 milliliter (ml) cans. The mean volume of oil placed in a can is 880 ml with a standard deviation of 7.8 ml. Assuming a normal distribution of the data, what is the probability that the filling machine will cause an overflow in a can, that is, the probability that more than 900 ml will be placed in the can?

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