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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At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 99 miles per hour (mph) and the standard deviation of the serve speeds was 10 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves. Express your answer in interval notation. Be sure to use parentheses.
Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.8 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 1.1 seconds after the person arrives is P(x = 1.1) = The probability that the wave will crash onto the beach between 1.7 and 2.7 seconds after the person arrives is P(1.7 < x < 2.7) = The probability that it will take longer than 3.36 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.36) = Suppose that the person has already been standing at the shoreline for 1.4 seconds without a wave crashing in. Find the probability that it will take between 2.8 and 3.5 seconds for the wave to crash onto the shoreline. A person has to wait at least 61% of the time, at most how long before a…
Today, the waves are crashing onto the beach every 4.9 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.9 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 0.6 seconds after the person arrives is P(x = 0.6) =
Suppose that pulse rates among healthy adults are normally distributed with a mean of 79 beats/minute and a standard deviation of 8 beats/minute. What proportion of healthy adults have pulse rates that are at most 92 beats/minute? Round your answer to at least four decimal places.
Use the formula to find the standard error of the distribution of differences in sample means, ₁ - X₂. Samples of size 105 from Population 1 with mean 86 and standard deviation 13 and samples of size 80 from Population 2 with mean 73 and standard deviation 16 Round your answer for the standard error to two decimal places. standard error =
According to the Empirical Rule, in a Normal Distribution of data you will have percent of the data within 1 standard deviation of the mean, percent of the data within 2 standard deviation of the mean, and percent of the data within 3 standard deviation of the mean.
Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
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 recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
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?…
Let's say that the mean score on this exam turns out to be 73 with a standard deviation of 12 and is normally distributed. If I gave a B to everyone who had an 80 or above, what percent of the class would get B's (or better)?
Suppose that pulse rates among healthy adults are normally distributed with a mean of 79 beatsminute and a standard deviation of 8 beatsminute . What proportion of healthy adults have pulse rates that are less than 90 beatsminute ? Round your answer to at least four decimal places.

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