2. The finished inside diameter of a pistonrine is normally distributed with a mean of10 cm and a standaro deviation of 0.03a) What proportion of rines will have insidediameters exceeding 10.075 cm?b) What is the probability that a piston ring willhave an inside diameter between 9.97 and10.03 cm?c) Below what value of inside diameter will15% of the piston rings fall?

From the provided information, Mean (µ) = 10 Standard deviation (σ) = 0.03 X~N (10, 0.03) Here X be…

Answered: 2. The finished inside diameter of a…

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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In the past Algebra classes, records show that the average score of the students in mid-term exam was computed to be equal to 83.5 with a standard deviation of 4.82. If there are 50 students in a particular class, then assuming normality of the distribution, how many of the students are expected to have a mid-term score of 1. a) above 83.5? b) below 70? c) above 90? d) between 75 -85?
You are given that X is normally distributed witha mean of 50.2 and a standard deviation of 3.7 a) What proportion of the population lies between 47 and 52 b) What is the value of the 95 percentile? c) What is the z score for the data value of 43.7
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
A DISTRIBUTION HAS A STANDARD DEVIATION =10. fIND THE Z SCORE FOR EACH OF THE FOLLOWING LOCATIONS IN THE DISTRIBUTION A) ABOVE THE MEAN BY 5 POINTS B) ABOVE THE MEAN BY 2 POINTS C)bELOW THE MEAN BY 20PTS D) BELOW THE MEAN BY 15 PTS
b. The frequency distribution for the values of resistance in ohms of 48 resistors is as shown. Calculate the standard deviation from the mean of the resistors, correct to 3 significant figures. class frequency 20.5-20.9 3 21.0-21.4 10 21.5-21.9 11 22.0-22.4 13 22.5-22.9 9 23.0-23.4 2 Draw an ogive for this data and hence determine the quartile values.
30. The distribution of weights for 12-month-old baby girls in the US is ap- proximately normal with mean u = 21 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old girl weighs 23.2 pounds, approximately what weight percentile is she in? b) If a 12-month-old girl is in the 16th percentile in weight, estimate her weight. c) Estimate the weight of a 12-month-old girl who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old girl who is in the 75th percentile by weight.
Assume the scores on a trivia challenge test are normally distributed with a mean μ = 76 and standard deviation of o = 6. a) Alisha received a score of 80. What is the z-value of Alisha's score? (Round to two decimal places). z= b) What percentage of scores fall between 64 and 88? c) What percentage of scores are between 70 and 88? d) What percentage of scores are below 70? % % % e) Find the first quartile of the data set. (Round to one decimal place)
The average score on a communications exam was found to be 82 with a standard deviation of 5 points. Assuming these scores were normally distributed, what is the 10th percentile of these exams? a) 88.4 b) 1.28 c) 75.6 d) -1.28
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6. For a population with a standard deviation of o = 20, how large a sample is necessary to have a standard error that is: a. less than or equal to 5 points? b. less than or equal to 2 points? c. less than or equal to i pint?
The chromium percentages of the samples obtained from the drillings in the field are given below. Prepare the frequency table of the distribution by taking the lower limit of the first class as 20 and the class interval as 10 in the frequency table and answer the questions below a) What is the avarege of the distribution? b) What is the Standard Deviation of the Distribution? c) What is the coefficient of variation of the distribution? d) What is the median value of the distribution?

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