Ity of buses arriving in a 10-minute interval?d) How much time should you allow so that with probability 0.99 at least one bus arrives?Problem 8) Discrete random variable Y has the CDF Fy(y) as shown:Fy(y)e) P[Y=1]f) P[Y=3]g) Py(y)10.750.50.2500 1 2 3 4 5yUse the CDF to find the following probabilities:a) P[Y<1]b) P[Y≤ 1]c) P[Y>2]d) P[Y≥ 2]Problem 9) At the One Top Pizza Shop, a pizza sold has mushrooms with probability p = 2/3. Onday in which 100 pizza are sold, let N equal the number of pizzas sold before the first pizza witWhat is the CDF of N?

Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Answered: Problem 8) Discrete random variable Y…

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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Respondent Household head SEX AGE Hours worked per week Main type of work Length of time at job Years of secondary schooling Examination passed Employment Status Income 1 1 2 27 16 5 7 5 1 6 78000 2 2 1 24 40 5 5 3 99 3 78000 3 2 2 26 60 5 6 5 1 3 129996 4 2 1 46 40 4 7 5 1 3 78000 5 1 2 31 40 8 7 3 1 3 129996 6 1 1 48 24 4 7 3 1 3 46800 7 2 1 19 45 5 5 3 1 3 78000 8 1 2 63 16 6 7 3 1 6 46800 9 2 1 26 40 9 7 4 9 3 78000 10 1 2 38 40 7 2 5 1 6 360000 11 1 1 48 24 4 7 3 1 3 46800 12 2 1 19 45 5 5 3 1 3 78000 13 1 2 63 16 6 7 3 1 6 46800 14 2 1 26 40 9 7 4 9 3 78000 15 1 2 38 40 7 2 5 1 6 360000 16 2 1 19 40 4 4 5 3 3 78000 17 1 1 37 45 5 7 3 9 6 779948 18 2 1 40 40 9 7 4 9 3 78000 19 2 1 40 60 5 5 3 1 3 78000 20 1 1 28 40 2 5 5 8 3 389988 21 1 2 50 40 2 7 5 8 3 1289988 22 1 2 51 72 8 7 5 1 3 200988 23 1 1 23 40 5 6 5 9 3 78000 24 1 1 45 40 2 7 5 8 3 1289988 25 2 1 32 40 5 7 5 1 6…
Consider two random variables X and Y with p(X, Y) = 0. Which of the following statements is always correct? O a. X and Y are independent but correlated. O b. X and Y are uncorrelated. O c. X and Y are independent. O d. X and Y are uncorrelated but not independent.
.1 The highest score in a game of dice (a) A random variable X is defined as the larger of the scores obtained in two throws of an unbiased, six-sided, die. Show that (2x - 1) Pr(X x) = x = 1, 2, . .., 6. %3D 36 (b) A random variable Y is defined as the highest score obtained in k independent throws of an unbiased, six-sided, die. Find an expression for the probability function of Y.
Suppose X is a random variable with possible values -2, 4, and 2, and with respective probabilities 0.28, 0.48, and 0.24. Then E(5X-2 x2) is: O a. 2.4288 Ob.-10.32 Oc. 22.7424 Od. 15.9712 O e.-4.3424 Ne ch DELL
1) If X,Y are two random variables which are NOT independent, then which of the following relations is always true? a. E(X +Y) > E(X)+E(Y) b. E(X +Y) = E(X)+E(Y) c. E(X +Y) < E(X)+E(Y) d. None of these
Problems 1. Consider discrete random variables X and Y [BLAK 1979] with the joint pmf as shown below: Y 0 # # # # Are X and Y independent? Are they uncorrelated? 1 24
1. Random variables X, and X, have the following distribution. fix, x) 10 20 5 0.22 0.10 0.10 10 0.10 0.08 0.12 20 0.05 0.05 0.18 Answer the following questions. a. Find f(10, 10). b. Find P(X, 210, X, S 10). c. Find f, (10). d. Find f.(20). e. Find the marginal distributions of X, and X f. Find P(X, 210). g. Find P(X, s 10).
1) a. A random variable X has the following probability distribution: X 0 × B 5 x B 10 x B 15 х В 20 x B 25 x B P(X = x) 0.1 2n 0.2 0.1 0.04 0.07 а. Find the value of n. Find the mean/expected value E(x), variance V(x) and standard deviation of the given probability distribution. Find E(-4A x + 3) and V(6B x – 7) b. С.
Suppose you are working with a data set that is normally distributed, with a mean of 250 and a standard deviation of 46. Determine the value of x from the following information. (a) 70% of the values are greater than x. (b) x is less than 16% of the values. (c) 22% of the values are less than x. (d) x is greater than 55% of the values.
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10. X and Yare random variables, and f() is the corresponding probability function. Which of the following is/are true? If X and Y are independent, then fx(x) 2 0, fy(y) 2 0, and fx y(x, y) = fx(x) fy(y) for all values of x & y. Regardless of whether X and Y are independent, fx(x) s 0, fy(y) s 0, and fx y(x, y) 2 0 for all values of x & y. If X and Y are positively correlated, then fx y(x, y) < fx(x) fy(y) for all values of x & y. If X and Y are negatively correlated, then fx y(x, y) < fx(x) fy(y) for all values of x & y.
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Problem 8) Discrete random variable Y has the CDF Fy(y) as shown: Fy(y) 1 0.75 0.5 0.25 0 0 1 2 3 4 5 y Use the CDF to find the following probabilities: a) P[Y<1] b) P[Y≤ 1] c) P[Y> 2] d) P[Y≥ 2] e) P[Y=1] f) P[Y=3] g) Py(y)