Suppose the mean income of Firmsin the industry for a year is asmillion dollars with a Standard cleviation.OF 5 million dollars of incomes for theinclustry are clistributed normallyWhat is the probeibility that aRandomly Selected firm will earn.less than 100 million dollarsRound to 4 decimal PlacesINDat 20soDen and dapelbao it do

given data normal distribution μ = 95σ = 5P(x<100)= ?

Answered: Suppose the mean income OR Firms in the…

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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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.
Females have pulse rates that are normally distributed with a mean of 74 beats per minute and a standard deviation of 12.5 beats per minute. If 16 adult female are randomly selected, find the probability that their pulse rates are less than 70 beats per minute. Express your answer as a percent rounded to 2 decimal places.
Suppose that the time required to complete a 1040R tax form is normally distributed with a mean of 110 minutes and a standard deviation of 15 minutes. What proportion of 1040R tax forms will be completed in 0 less than 85 minutes? Round your answer to at least four decimal places,
The age of children in kindergarten on the first day of school is uniformly distributed between 4.99 and 5.9 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. The mean of this distribution is The standard deviation is The probability that the the child will be older than 5 years old? The probability that the child will be between 5.49 and 5.79 years old is If such a child is at the 34th percentile, how old is that child? years old.
Today, the waves are crashing onto the beach every 5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 2 seconds after the person arrives is P(x = 2) = The probability that the wave will crash onto the beach between 0.4 and 2.9 seconds after the person arrives is P(0.4 < x < 2.9) = The probability that it will take longer than 1.5 seconds for the wave to crash onto the beach after the person arrives is P(x &gt 1.5) = Suppose that the person has already been standing at the shoreline for 1.3 seconds without a wave crashing in. Find the probability that it will take between 2.7 and 4.8 seconds for the wave to crash onto the shoreline. 27% of the time a person will wait at least how long before the wave crashes in?…
Today, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 3.9 seconds after the person arrives is P(x = 3.9) =
A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 20 customers has a mean of 3.2 minutes with a standard deviation 0.8 minute. If a = 0.10, test the store's claim. Ho: u = 3.5 Hạ: H [ Select ] Test statistic: [ Select ] p-Value = [ Select ] Decision: [ Select ] > > >
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…
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)
Procter and Gamble reported that an American family of four washes an average of 2000 pounds of clothes each year. If the standered deviation of the distribution is 187.5 pounds, find the probability that the mean of a randomly selected same of 50 families of 4 will be less that 1950 pounds. Round your awnser to four decimal places and assume the variable is normally distributed
The length of the western rattlesnake is normally distributed with a mean of 42 inches and a standard deviation of 2.04 inches. Let X be the length of one of these snakes selected at random. Determine the probability that the snake is longer than 45 inches. Report your answer to four decimal places (like .1567).

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