The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.124816p(x) 0.05 0.15 0.25 0.45 0.10(a) Compute E(X) (in GB). (Enter your answer to two decimal places.)GB(b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.)GB2(c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.)GB(d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.)GB²

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Answered: The pmf of the amount of memory X (GB)…

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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The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No e (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? kt The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
Suppose that a lake is stocked with N fish of the same age, and that M is the mortality rate of the fish (the fraction of the fish that will die of natural causes during the year), and F is the fishing rate (the fraction that will be caught commercially). Then the number of fish C that will be caught during the year is given by the formula C=FN/ M+F; in this formula, M and F must be entered as decimal values. (a) Suppose that the lake is stocked with 5500 catfish at the beginning of the season and that the fish have a 7% mortality rate. If the catfish are removed at a fishing rate of 25%, what are the appropriate values of the quantities N, M and F in this situation? Use these to determine how many catfish will be caught by fishing from the lake. (b) Treat N and M as parameters with the same values given above. Then complete this table of function values of C in terms of F : (c) If this function C = C(F) were graphed, would it be an increasing or decreasing function? Would it…
The population of American buffaloes in the 19th century halved every five years.Given that the population of Bison in the year 1890 was about 500: Find the explicit formula for the population of American buffaloes for the 19th century with respect to the time (years after 1800). What was the population of American buffaloes in 1850?
4. Compute the following expressions by hand. Simplify as much as possible. (a) 27 logs(16) (b) log6()- logs(2) + logs(16)
In 2011, the population of Canada was about 34.34 million. For the years 2011 through 2021, the population is projected to grow at a rate of about 1.1% per year. (a) Find a formula for an exponential function that gives the population of Canada. (Let N be the population in millions and t be the number of year since 2011.) N(t) = (b) Express, using functional notation, the population of Canada in 2017. NO Calculate that value. (Round your answer to two decimal places.) million (c) Use the function you found in part (a) to predict when the population of Canada will reach 37.5 million. (Round your answer to two decimal places.) years after 2011
A company has three claims representatives who have 8 hour working days, Monday to Friday. Clients come to the offices of the company at a rate of 20 clients per 8 hour day. The time a representative spends to each customer obeys an exponential law with an average service time of 36 minutes. In taking the hour as a unit of time, answer the following questions: (a) How many hours per week is a representative busy on average? (b) What is the average time spent by a customer in the queue before being served by a representative? (c) What is the average number of representatives who are unoccupied? (d) What is the probability that there is a queue?

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