QUESTION 15 A certain type of engines lasts, on average, 4.0 years with a standard devlation of 0.5 year. Assuming that the engine lifetimes are normally distributed, the probability that a given machine will last less than 3.6 years is a. 0.7881 b. 0.3446 c. 0.4364 d. 0.2119

QUESTION 15 A certain type of engines lasts, on average, 4.0 years with a standard devlation of 0.5 year. Assuming that the engine lifetimes are normally distributed, the probability that a given machine will last less than 3.6 years is a. 0.7881 b. 0.3446 c. 0.4364 d. 0.2119

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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QUESTION 6 Empire Electronics manufactures its own k-cup coffee makers. The lifespan of its base model is exponentially distributed with a mean of 4 years. This retail chain has promoted a five-year warranty on this household appliance. Assume the time between manufacture and sale is negligible. What is the likelihood that the basic model k-cup coffee maker manufactured and sold by Empire Electronics would last at least three and one-half years? Express your answer rounded to the nearest whole percentage with percent symbol. i want accurate answer with proper explanation please
Question 4 Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle has a recharging time that has a uniformly distributed between 80 and 110 minutes. What is the expected recharging time in minutes? (Enter your answer with no decimal places)
Question 17 Suppose Carole has a total wealth of $100,000 and a utility described by U = E -A She has a risk aversion coefficient of A-1. She can borrow and lend/invest at the risk-free rate of 2.8%. Suppose the optimal risky portfolio has an expected return of 12% and a standard deviation of 27.5%, What is her optimal amount to borrow or lend/invest at the risk free rate? Indicate investing/lending as a positive number and borrowing as a negative number. Round to the nearest cent ($0.01). Your answer should not include the $ sign. If your answer is $25.34, it should be written as 25.34. Question 18 Ayear ago, an investor bought 200 shares of a "no-load" mutual fund at $10.01 per share. No-load funds do not change "entry fees or "exit" fees when buying or redeeming shares. Sometime during the year, the fund paid dividends of $0.71 per share and the fund paid capital gains of $0.14 per share - and these payments were reinvested in the fund at an average price of $10.73 per share…
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QUESTION 3 Suppose there are two football teams A and B. In recent matches Team A has a mean of 1 goal per match and Team B has a mean of 2 goals per match. Suppose that the probability of the number of goals scored by a team obeys a Poisson Distribution In the following questions, give the reasoning behind your answers. You can express some answers in terms of logarithms. Q 3(d) What is the most probable score line? Q 3(e) In a particular match, over how long a time period would the probability of no goals be 20%?
QUESTION 3 A certain type of engines lasts, on average, 4 years with a standard deviation of 1.4 years. Assuming that the engine lifetimes are normally distributed, the probability that a given machine will last less than 3.5 years is O 0.1406 0.3594 O 0.6406
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