18 Suppose the mean income of Firmsin the industry for a year is 95million dollars with a standard deviation.OF 5 million dollars if incomes for theinclustry are distributed normallyWhat is the probability that aRandomly selected firm will earnless than 100 million dollarsRound to 4 decimal Placesinny

given data, μ=95 millon dollars σ=5 millon dollars normal distribution probability that a randmoly…

Answered: 8 Suppose the mean income of Firms in…

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 particular fruit's weights are normally distributed, with a mean of 785 grams and a standard deviation of 9 grams.If you pick 13 fruit at random, what is the probability that their mean weight will be between 783 grams and 791 gramsRound to 4 decimal places
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
For a standardized psychology examination intended for psychology majors, the historical a data show that scores have a mean of 520 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 524. What is the probability that a sample of 35 exams will have a mean score of 524 or more if theexam scores follow the sane distribution as in the past? Carry computations to 4 decimal places, round your answer to 3.
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 47 minutes and standard deviation 17 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible. 1.If one randomly selected student is timed, find the probability that this student's time will be between 45 and 49 minutes 2.For the 49 students, find the probability that their average time studying is between 45 and 49 minutes. 3.The top 10% of the total study time for groups of 49 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 48 minutes and standard deviation 23 minutes. A researcher observed 14 students who entered the library to study. Round all answers to 4 decimal places where possible. If one randomly selected student is timed, find the probability that this student's time will be between 42 and 50 minutes. For the 14 students, find the probability that their average time studying is between 42 and 50 minutes. Find the probability that the randomly selected 14 students will have a total study time less than 714 minutes.
Suppose the length of the pregnancies of a certain animal are approximately normally distributed with mean =300 days and a standard deviation =26 days. The probability that the mean of a random sample of 15 pregnancies is less than 291 days is approximately what? (Round to 4 decimal points)

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