Question 1 Suppose the length of time (in hours) of a long-distance business video call is Y = 2X04, where X is exponentially distributed with mean . Hint: the pdf of an exponential random variable is f(x; A) - Ae, where the mean is . (a) Find the cdf of Y, Fy(y)= P(Y Sy). (b) Find the pdf of Y, fy(y).

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Q: 1. To the left of z = 1.96 2. At most z = 2.58 3. At least z = 1.96 4. To the right of z = 0.33

A: ( 1) To the left of z = 1.96 ( 2 ) Atmost z =2.58 ( 3 )Atleast z= 1.96 ( 4 ) to the right of 2=0.33 ...

Q: You are given the following information: (i) (Tä)r:10 = 40.0 (ii) är:10 = 7.0 (iii) i = 0.04 (iv) qa...

A: Given  ?a¨x:10=40 a¨x:10=7 i=0.04 qx=0.02

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A: It is given that Sample size n = 12 Sample mean = 15 Population mean = 12 Sample SD = 4

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Q: Example. 40. Find the H.M. of 4, 6 and 10.

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Q: different colours a red ball is drawn. Find the probability that the statement is true. ?

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A: We have given that,  The data set is,  0.51, 0.72, 0.11, 0.91, 1.28, 0.53, 0.94 Then,  We will find ...

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A: Given information: x = 70 n = 100 p^N=xN=70100=0.70

Q: (i) The sum of all the items, (ii) The sum of squares of all the items.

A: Here use formula of mean and standard deviation 

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Q: For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds...

A: GivenMean(μ)=50standard deviation(σ)=8z=2.50

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Q: 4. Suppose that the lifetime of a laptop has normal distribution with mean (expectation) 10 (in year...

A: Given  μ=10=population mean, population standard deviation=σ(unknown)  P(X<11)=84%

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Q: We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adul...

A: Givensample size(n)=100x=95

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Q: Define tests of statistical significance

A: Given : Term Tests of  statistical significance

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Q: Problem 3 Solve the following LP of normal maximization form by the simplex method and obtain the op...

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Q: A distribution of values is normal with a mean of 50 and a standard deviation of 25. From this distr...

A: GivenMean(μ)=50standard deviation(σ)=25sample size(n)=31