Companies who design fumiture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten childrencan be described by a Normal model with a mean of 39.2 inches and standard deviation of 1.9inches.a) What fraction of kindergarten kids should the company expect to be less than 39 inches tall?About % of kindergarten kids are expected to be less than 39 inches tal.(Round to one decimal place as needed.)b) In what height interval should the company expect to find the middle 60% of kindergarteners?inches andinches.The middle 60% of kindergarteners are expected to be between(Use ascending order. Round to one decimal place as needed.)c) At least how tall are the biggest 15% of kindergarteners?The biggest 15% of kindergarteners are expected to be at least inches tall.(Round to one decimal place as needed.)

Answered: Companies who design furmiture for…

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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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 51 ounces and a standard deviation of 8 ounces.Use the Empirical Rule.Suggestion: sketch the distribution in order to answer these questions.a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 35 and 59 ounces? %c) What percentage of the widget weights lie below 75 ? %
3) The lengths of a certain type of North Atlantic croaker fish are normally distributed. A sample of 1400 fish were collected and x = 10 inches and s= 2 inches. About how many fish will be between 8 and 14 inches in length? Home/ AX 28 10 en below 11 20 n 22 12 17 25 1, deviation Sx. 2) Sample ACT scores for a particular iation of 2.75 inches. What percentage of women
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 5 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 27 and 47 ounces? % c) What percentage of the widget weights lie below 52 ?
Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L. d) What is the relative discrepancy between the measured value of L and its true value? Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm. e) Is this value more or less precise than the first value? f) Is this value more or less accurate than the first value? g) Do the two values agree given their uncertainties? h) What is the relative discrepancy between the two values?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 ounces and a standard deviation of 10 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 74 ounces? c) What percentage of the widget weights lie above 34? Question Help: DVideo D Post to forum E Calculator Submit Question
Rivets. A company that manufactures rivets believesthe shear strength of the rivets they manufacture followsa Normal model with a mean breaking strength of 950pounds and a standard deviation of 40 pounds.a) What percentage of rivets selected at random willbreak when tested under a 900-pound load? b) You’re trying to improve the rivets and want to exam-ine some that fail. Use a simulation to estimate how many rivets you might need to test in order to findthree that fail at 900 pounds (or below).
Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?
A livestock cooperative reports that the mean weight of yearling Angus steers is 1120 pounds. Suppose that the weights of all such animals can be described by a Normal model with a standard deviation of 64 pounds a) What percent of steers weigh over 1100 pounds? b) What percent of steers weigh under 1050 pounds? c) What percent of steers weigh between 900 and 1300 pounds?
It is generally believed that the heights of adult females in the U.S. are approximately normally distributed with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. A. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70”)? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. B. What is the height of a female who is in the top 10% for her height? Draw/Label/Shade
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