1. Let Random variable X represent f times the number we throw a dice:What we2456see ondice1X3f2f3fP(X=x)1/61/61/6a) What if the expected value and variance of X?b) What is the expected value and variance of 3X?c) What is the expected value and variance of X+X+X?4f1/65f1/66f1/6An industrial chemical that will retard the spread of fire in paint has been developed. Thelocalsales representative has estimated, from past experience, that 48+15f% (round to integer) ofthe sales calls will resultin an order.(a) What is the probability that the first order will come on the fourth sales call of the day?(b) If eight sales calls are made in a day, what is the probability of receiving exactly six orders?(c) If four sales calls are made before lunch, what is the probability that one or fewer results inan order?

given data x p(x=X) x*p(x) x2 * p(x) f 1/6 f/6 f2 2f 1/6 2f/6 4f2/6 3f 1/6 3f/6 9f2/6 4f…

Answered: 1. Let Random variable X represent f…

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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We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 10 days of sales at Store A and a sample of 12 days of sales at Store B indicated the following. Use a=0.1. Store A n₁ = 10 Store B n₂ = 12 $1 = 60 $2=40 (A) The test statistic is F = 1.50 (B) The test statistic is F= 2.25 (C) The rejection region is F≥2.8962 (D) The rejection region is F≥3.1025
Prove that the sample variance is an unbiased estimator for the population variance. That is, show that
2. The weekly load allowance of a grade 11 STEM student in an online class in Calculus is shown below together with the associated probabilities. 2 3 4 X P(x) 1 0.05 5 0.20 0.15 0.20 0.40 Find the mean and the variance.
Please solve (a) & (b) only! Thanks.
17. Conditional Distributions Consider two random variables X and Y for which we know Pr(X = x) = Pr(X = x|Y = y)for all possible values of x and y. In this case we would say that X and Y are.... Pick ONE option Independent Perfectly correlated Equal to each other More than one of these choices None of these choices
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14) Xi -2 -1 0 1 Consider the following probability distribution. The variance is A) 1.14 B) 1.29 C) 1.65 D) 1.94 P(X = X₁) 0.2 0.1 0.3 0.4
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x	p(x=X)	x*p(x)	x² * p(x)
f	1/6	f/6	f²
2f	1/6	2f/6	4f²/6
3f	1/6	3f/6	9f²/6
4f	1/6	4f/6	16f²/6
5f	1/6	5f/6	25f²/6
6f	1/6	6f/6	36f²/6
		$Σx * p (x) = 3.5 f$	$Σ x^{2} * p (x) = 15.1667 f^{2}$