NT #2The following game is played:First, imagine a fair three-sided die exists with sides 1, 2, and 3. It is equally likely for any of the three sidesto land up. We'll call the number that lands up n.Next, a coin is flipped n times. The number of heads that come up we'll call z.Find the following:a) Create a joint probability mass function for 2 and n.b) Find P(r = 1|n = 2)c) Find P(x > 4n = 3)d) Find P(x=1nn=3)e) Find P(x > 2)f) Are x and n independent? Explain why or why not.

Given a fair three-sided die exists with sides 1, 2 and 3. The number that lands up denoted by n. A…

Answered: The following game is played: First,…

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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sub question 4 and 5 please
A cloth manufacturer knows that faults occur randomly in the production process at a rate of 3 every 15 meters, find the probability of exactly 7 faults in a 15-meter length of cloth. Select one: O A. 0.22 B. 4173.07 OC. 3.28 OD. 0.00 O E. None
Roll two dice. Let X be the value on the first die and let Y be the value on the second die. Then both X and Y take values 1 to 6 a) Write the full joint probability table b) Compute the marginal pmf of X and of Y. c) Are X and Y independent?
D Page view A Read aloud V Draw Highlight O Erase Roll two Let X be the value on the first die and let Y be the value on the second die. Then both X and Y take values 1 to 6 and the joint pmf is fxy (i, j) = P(X = i,Y = j) = for all i and j between 1 and 6. 36 The joint probability table: (a) What is the P(X = 1, Y = 6) (b) What is the P (X = Y) %3D (c) What is the P(X = 1, y < 4) here to search
11
(6) An otherwise fair sir sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let ở be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function. Table 1 The p.m.f. of outcomes of rolls of a biased die Outcome 1 2 3 4 5 6 Probability 0 (1- 20) (1 – 20) (1– 20) {(1 – 20) 0 Heeessary (ii) The value of 0 is unknown. Data from which to estimate the value of 0 were obtained by rolling the biased die 1000 times. The result of this experiment is shown in Table 2. Table 2 Outcomes of 1000 independent rolls of a biased die Outcome 1 3 4 5 6. Frequency 205 154 141 165 145 190 Show that the likelihood of 0 based on these data is L(0) = C0395 (1 – 20)605, where C is a positive constant, not dependent on 0. (iii) Show that Stare what rule is ased, L'(0) = C 6394 (1 – 20)®04 (395 – 2000 6).…
QUESTION 9 The probability that Ali will be infected by Coronovirus (A) is 0.4 while it is 0.6 for Badr (B). Find the probability that both Ali and Badr will be infected if A and B are independent. If needed, round your answer to two decimal places. OUESTION 1O
With two dice, each numbered 1-6, there are two possible ways to roll a 3. and Thus, for the outcome of 3 (a particular macrostate), there are 2 microstates. How many possible ways are there to roll a 7? number of ways to roll a 7: What is the entropy associated with an outcome of 7? S = J/K
Time left 0:35:29 Consider the random experiment of selecting 5 balls from a box containing 60 Green and 40 white balls. The probability of selecting 2 white and 3 green balls is 0.1600 a. O b. 0.4000O O c. 0.3545 O d. 0.5000
12y 3p A) For the joint probability p(A.B)-5p 13p P(B/A), if y is three times larger than p. 4y. Find P(A). P(B). P(A/B), and 7pl
1. Determine each of the following areas and show these graphically. Use probability notation in your final answer. a. Find the greater than z = 1 b. Find the area between z = -1.32 and z = 2.37
In Hawaii, the rate of motor vehicle theft is 520 thefts per 100,000 vehicles. A large parking structure in Honolulu has issued 568 parking permits. (a) What is the probability that none of the vehicles with a permit will eventually be stolen? (Round λ to 1 decimal place. Use 4 decimal places for your answer.)

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