A quarter-circle thin plate sheet is produced as a part of aproduction line. The radius R of the plate is a normal randomvariable with a uand o equal to 4.2 mm and 0.04 mmrespectively.a. What is the expected value of a sheet's perimeter?b. What is the variance of a sheet's perimeter?c. A number of bearings is to be applied on the sheet'sperimeter, approximated by 2eR . What is the probabilitythat the number of bearings is less than 128 pieces?

From the given information, A quarter-circle thin plate sheet is produced as a part of a production…

Answered: A quarter-circle thin plate sheet is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 9.7,9.7,10.3,10.3,9.8,9.8,9.7,10.5,10.4,and10.4 liters.Use a 0.10 level of significance and assume that the distribution of contents is normal.
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Male BMI Female BMI μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≥μ2 H1: μ1<μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1>μ2 The test statistic, t, is ______.(Round to two decimal places as needed.) The P-value is _____.(Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject the null…
A car company says that the mean gas mileage for its luxury sedan is at least 22 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 7 cars has a mean gas mileage of 20 mpg and a standard deviation of 2 mpg. At α=0.10, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. LOADING... Click here to view page 1 of the normal table. LOADING... Click here to view page 2 of the normal table. LOADING...
Q1. Which of these is not a parameter of the population distribution of X? A. Sample Mean of X. B. Variance of X. C. Std. deviation of X. D. The Expected value of X, E(X). O A. A В. Ь О С. с O D. d
MN.27.
1. Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution. A. 56.73 B. 75.63 C. 73.56 D. 76.05 2. Calculate the variance for the distribution given in figure 1. A. 429.84 B. 492.98 C. 924.86 D. 942.99 3. Calculate the standard deviation and the co-efficient of variation respectively for the distribution given in figure 1. A. 73.20, 28.20 B. 20.73, 0.28 C. 27.30, 20.28 D. 0.28, 0.21
Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
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