4.9Q)Let P and Q be two random variables such thatE(P) =7 and E(Q)= 4, then E(4P+3Q+5) is:1)422)443)454)38

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Answered: 4.9Q) Let P and Q be two random…

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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Q1. a) In a group of 80 students, 50 have a laptop (A), 30 have a tablet (B) and 3 have both a laptop and a tablet. i) Draw a Venn diagram to represent this information. A 47 3 27 B 3 ii) Find the probability that a student either only has a tablet or does not have a laptop or both, using the equation P(A' U B) = P(A') + P(B) – P(A' ŉ B).
2. a) Let X and Y be independent identically distributed binomial random variables, X~ Bin(3, 0.4) and Y ~ Bin(3, 0.4). i) Compute the probability P(X = 0). ii) Compute the probability that the product XY equals 0, that is, compute P(XY = 0). b) The actual amount of jam (in g) that a filling machine puts into "150 g" jars may be looked upon as a random variable having a normal distribu- tion with σ = 6 and mean μ = 155. What proportion of jars, in the long-run, contain less than 150 g? N(0, 1), Give your answer in terms of the function, where for Z (z) = P(Z), and a give a sketch of the normal curve with a shaded area that corresponds to the required probability.
Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
Assume that X is a hypergeometric random variable with N=50, S= 20, n=5. Calculate the following probabilities. A) P(X=2) B) P(Xgreaterthanorequalto2) C) P(Xlessthanorequalto3)
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)} (disregarding order). Let X be the sum of the two balls selected. What is the mean of X? Select one: a. 2.0 b. 2.33 c. 4.0 d. 4.33

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4.9Q) Let P and Q be two random variables such that E (P) =7 and E(Q)= 4, then E(4P+3Q+5) is: 1)42 2)44 3)45 4)38