$1. An electronic store salesperson estimates the probabilities for the number of flat screen smart TVsets sold in a week as follows:number sold (x)p(x)a)b)c)d)92(to be sut nitted online on BrightSpace)STAT2507A - November 4th, 2022 (to be submitted in-person to the Instructor)e)W+3EAssume that the number of sales in one week is independent of the number in any other.What is the probability, for a given week, that fewer than 3 flat screen smart TVs will be sold?Find the expected number of flat screen smart TVs sold in a week.Find the standard deviation of the number of flat screen smart TVs sold in a week.The salesperson receives a weekly salary of $600, plus a commission of $60 for each flatscreen smart TV sold. Find the expected value of the total amount the salesperson will receiveeach week.Find the standard deviation of the total weekly amount.00.0580$4aF4Rdo 5010.30%16F5IT^6PFo20.40Y&7F7U30.10248G-IIFB140.109FOO450.05F10I--PqiPII=

As per our guidelines we are suppose to answer only three sub parts. Expected value…

Answered: 1. An electronic store salesperson…

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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Suppose a math class contains 41 students. There are 18 females (three of whom speak Spanish) and 23 males (six of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?   2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?   3. What percent of Spanish speaking students are male?   4. If someone does not speak Spanish what is the probability they are female?
Suppose that the proportions of blood phenotypes in a particular population are as follows: A    B    AB    O 0.45    0.06    0.01    0.48 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.)What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.213 0.370 0.224 0.174 0.018 0.001 (a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) (b) Find the probability that two or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(c) Find the probability that four or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.)(d) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)? =  prisoners(e) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)? =…
Suppose that the proportions of blood phenotypes in a particular population are as follows: O A B AB 0.47 0.06 0.02 0.45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders. x 0 1 2 3 4 5 P(x) 0.229 0.360 0.224 0.169 0.017 0.001 a) Find the probability that one or more of the five parolees will be repeat offenders. (Round your answer to three decimal places.) b) Compute ?, the expected number of repeat offenders out of five. (Round your answer to three decimal places.)? = prisonersc) Compute ?, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.)? = prisoners
5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.
The personnel director of Gadget Manufacturing Company has compiled the following table, which shows the percent of men and women employees who were absent the indicated number of days. Suppose there are as many women as men employees. Sex Absences (Days) Men Women 0 20% 20% 1–5 40% 20% 6–10 40% 20% 11 or more 0% 40% Total 100% 100% (a) Find the probability that an employee missed 6–10 days, given that the employee is a woman. (Enter your probability as a fraction.)(b) Find the probability that an employee is a woman, given that the employee missed 6–10 days. (Enter your probability as a fraction.)

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