b)Incomes of a group of 2000 employees in a certain company werefound to be normally distributed with mean Rs.5500 and standarddeviation Rs 1000. Find the expected number of employees withincome. i) below 5000 ii) above 8000 iii) the lowest income of highranked 15% of employers.

Let be the employee incomes.The random variable follows a normal distribution.Mean: Standard…

Answered: b) Incomes of a group of 2000 employees…

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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Similar questions

The life of a certain type of electronic component isnormally distributed with mean=220 hours deviation of 25 hours. Do you agree that the probability that the mean life of sample of 20 components will be greater than 225 hours will be higher than probability that themean life of a sample of 40 components will be greater than to 225 hours? Show by calculations.
b. The compensation received by the highest-paid executives of 12 international companies (in $'000) is as follows: 801 820 2215 803 850 856 899 846 902 856 911 947 i. Find the mean and the median compensation of the executives. Comment on the skewness of the distribution of the executives' compensations. 2
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
A construction zone on a highway has a posted speed limit of 40 miles per hours. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 46 mph and a standard deviation of 4 mph. a) what percentage of vehicles exceed the speed limit? (round to 4 decimals) b) If the police wish to ticket only those drivers whose speed falls in the upper 20th percentile, what is the minimum speed of a driver they will be ticketed? (round answer to 2 decimals)
5
Confidence intervals
The marks obtained in mathematics by 1000 students are normally distributed, with mean 78% and standard deviation 11%. Determine (i) How many students got marks above 90% (ii) What was the highest mark obtained by the lowest 10% of the students?
Assuming that the scores of the student in a test is normally distributed with the mean of 40 and standard deviation of 6. a) What are the scores that will include the middle 60% of the class?
7. The heights of women follow a normal distribution with a mean of 64.5 inches and a standard deviation of 2.8 inches. (a) (2 points) What percent of women are taller than 72 inches (6 feet)? (b) (4 points) From a SRS of 50 women, what is the probability that their mean height is between 60 inches and 72 inches?

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b) Incomes of a group of 2000 employees in a certain company were found to be normally distributed with mean Rs.5500 and standard deviation Rs 1000. Find the expected number of employees with income. i) below 5000 ii) above 8000 iii) the lowest income of high ranked 15% of employers.