Problem 4.The number of memory chips M needed in a personal computer dependson how many application programs, A, the owner wants to run simulta-neously. The number of chips M and the number of application programsA are described by(4 chips for 1 program,4 chips for 2 programs,[0.1(5 – a) a = 1,2,3, 4,M =PA(a) =6 chips for 3 programs,8 chips for 4 programs,otherwise.(1)(a) What is the expected number of programs uA = E[A]?(b) Express M, the number of memory chips, as a function M = g(A) ofthe number of application programs A.(c) Find E[M] = E[g(A)]. Does E[M] = g(E[A])?(d) Find Variance of A and M

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Answered: Problem 4. The number of memory chips M…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A company manufactures two products, A and 3, in 2 factories, I and II. It has been determined that the company will realize a profit of 75 dollars on each unit of product A and a profit of 70 dollars on each unit of product B. To manufacture a unit of product A requires 7 minutes in factory I and 8 minutes in factory II. To manufacture a unit of product B requires 9 minutes in factory I and 5 minutes in factory II. There are 675 minutes of machine time available in factory I and 560 minutes of machine time available in factory II per day. How many units of each product should be produced per day to maximize the company's profit? units per day of product A, and units per day of product B. The maximal achievable profit is dollars per day. Now assume that, due to changing market conditions, the company can now realize a profit of 116 dollars on each unit of product A, whereas the profit on product B remains the same as before. How many units of each product should now be produced per day…
Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his advanced chemistry class into four groups of four for a lab activity. Each of the four lab groups has been assigned its own task to complete for the activity, but the students are not assigned specific roles within the group. How many different ways can Jeremy assign his students to the four lab groups?
PROBLEM 03: The Jokia Cell Phone Company manufactures two models of cell phones - the Wombat and the Sloth. Each Wombat phone uses 2.5 ounces of gold leaf and 3 ounces of plastic, whereas each Sloth phone uses 2 ounces of gold leaf and 2 ounces of plastic. Each day, the company has only 370 ounces of gold leaf and 420 ounces of plastic to be used for making cell phones. If the company makes the correct number of each type of phone on a given day to use up all of the available gold leaf and plastic, how many Wombat phones will be made? A) 60 B) 100 C) 50 D) 90 E) 110 N) none of the above
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 567 milliliters of the drug, how many milliliters of compound A are needed?
For numbers 24-26: Aquascaping involves growing aquatic plants and aesthetically arranging them in an aquarium like a natural landscape. Success of growing plants depends on several factors such as light condition, water pH, and carbon dioxide level. It is of interest to determine if varying concentrations of carbon dioxide (0.5 ppm, 1.2 ppm, 1.5 ppm) introduced to an aquarium will promote or deter an aquatic plants' growth. Ten aquariums with one-week old plant were set-up and randomly assigned to each treatment. Below are the R outputs with 5% level of significance. data: 0.5 Wilk-Shapiro Test for Normality data: 1.2 p-value = 0.324 p-value = 0.2534 data: 1.5 p-value = 0.6369 Bartlett test of homogeneity of variances height by carbon dioxide data: Bartlett's K-squared 4.5623, df = 2, p-value = 0.1022 Analysis of Variance Df Sum Sq Mean Sq F value Pr (>F) carbon dioxide 2 88.73 44.37 6.131 0.0289 * Residuals 7 50.65 7.24 . Signif. codes: 0 ***** 0.001 **** 0.01 0.05 ¹.¹ 0.1 ¹ ¹ 1…
Question 3Bob is a young entrepreneur who recently graduated from UPSA and using three different ingredient (flour, sugar and butter) to produce three different kinds cakes namely Boban, Boapp and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of Boban requires 5g each of flour, sugar and butter. Also, producing Boapp requires 15g each of butter and sugar together with 20g of flour while producing Bopine requires 15g each of sugar and flour, and 20g of butter. In any particular day, the company has a total of 17500g, 16000g and 18500g of butter, sugar and flour available respectively.(a) Write three linear equations and hence form a matrix to represent the above problem (b) Determine the number dozens of cakes of each brand of cakes that should be produced from the available raw materials using matrix inversion

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