**Example Problem for Statistical Analysis using R****Problem 6**Suppose the yearly income of people in Minnesota is normally distributed with a mean of 45,700 and a standard deviation of 2,830. Find the probability that a randomly selected person (X) has an income between 44,000 and 48,000.**Solution Approach**: To solve this, we can use R software to calculate probabilities for normal distributions. This involves finding the cumulative distribution function (CDF) for the specified income range and subtracting the lower CDF value from the higher one.In R, you might use the following commands to get the probability:```Rmean <- 45700sd <- 2830lower_bound <- 44000upper_bound <- 48000probability <- pnorm(upper_bound, mean, sd) - pnorm(lower_bound, mean, sd)print(probability)```This code calculates the probability that a person has an income between 44,000 and 48,000 by calculating the area under the normal curve for that range.

The mean is 45700 and standard deviation is 2830.

Answered: 6. Use R: Suppose the yearly income of…

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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6. Use R: Suppose the yearly income of people in Minnesota is normally distributed with mean 45700 and standard deviation 2830. Find the probability that a randomly selected person (X) has an income between 44000 and 48000.