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Jennifer has purchased software especially for the marketing department. The department needed some guidance to qualifications needed by an employee for working on that software. Is age a factor? Is experience of an employee is important? In order to explore further the factors needed for an employee, four factors were listed: X1- Experience X2- Test Score X3- Previous Job Rating X4- Age Y- Performance on the new software Forty employees were selected at random. The data were collected related to the factors mentioned above and their performances on the new software. The equation is on the basis of the data is as follows Y = 10.5 + 0.5X1 + .276 X2 + 0.121X3+ .002 X4 Interpret the number 10.5. Mohit has been hired for a job. He has an experience of 5 years and scored 300 in the test. His previous job rating is 350 and he is 32 years old. Estimate Mohit’s performance on the new software. As age increases by two years, how much does estimated performance on the new software increases.


The probability that a marketing representative make a sale on a customer’s online order is 0.15. Find the probability in case of no sales made in ten online orders and in case of more than three sales made in twenty online orders. The marketing representatives are required to achieve a mean of at least five sales each day. Find the least number of online orders each day that a marketing representative should get to achieve this requirement. Which distribution is suitable for solving the above problems? Discuss the features of this distribution in detail.


The probability that a marketing representative make a sale on a customer’s online order is 0.15. Find the probability in case of no sales made in ten online orders and in case of more than three sales made in twenty online orders. The marketing representatives are required to achieve a mean of at least five sales each day. Find the least number of online orders each day that a marketing representative should get to achieve this requirement. Which distribution is suitable for solving the above problems? Discuss the features of this distribution in detail


Pascal Co. is considering replacing one of its software with a new software. Before a final decision is made, Pascal Co. has taken a sample of four hundred customers. After surveying the customers, 250 recommended that they would purchase the new software. Estimate the value of the population proportion. Develop a 99 percent confidence interval for the population proportion. Interpret your findings.


In a poisson frequency distribution, frequency corresponding to 3 successes in 2/3 times frequency corresponding to 4 successes. Find the mean and standard deviation. 



A wallet contains a Php 20.00 bill, a Php 50.00 bill, and a Php 100.00 bill. A bill is taken out from the wallet and then replaced with a bill of the same amount that was taken away. If a bill is taken out from the wallet, what is the probability that the sum of the bills is

A. Php 70.00

B. Not Php 70.00

C. More than Php 40.00


Two 4-sided dice are tossed 10 times and the sum of the “down” faces is noted. What is the probability that the sum of 4 occurs at most two times? Leave your answer as a percent rounded to one decimal place. Provide evidence of your work by typing out your full solution.


a)In Chelmsford County Hospital, the probability that a randomly chosen birth results in a boy is 45%. Over the course of a month, there are 20 births at the hospital. Is a normal approximation to the binomial distribution appropriate here? Show your calculations and explain your choice.

b) In Chelmsford County Hospital, the probability that a randomly chosen birth results in a boy is 45%. Over the course of a month, there are 20 births at the hospital. What is the chance that more than 14 of the births are boys? Use the method of the normal approximation to the binomial distribution. Provide evidence of your work by typing out your full solution.

c)In Chelmsford County Hospital, the probability that a randomly chosen birth results in a boy is 45%. Over the course of a month, there are 20 births at the hospital. What is the chance that more than 14 of the births are boys? Use the binomial distribution formula. Provide evidence of your work by typing out your full solution.


The Investment department of the Zambia Development Agency randomly selected 100 SMEs and examined them for profitability on their investment. The following results were obtained:

Number of Profits


1

2

3

Number of SMEs

36

40

19

5

Test at 5% significance level whether the distribution of profits follows a Poison distribution.


Each of 8

 students reported the number of movies they saw in the past year. This is what they reported:8, 5, 16, 12, 17, 9, 5, 13

Find the mean and median number of movies that the students saw.

If necessary, round your answers to the nearest t


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