1. Let X = the number of nonzero digits in a randomly selected 4-digit PIN that hasno restriction on the digits.a. What are the possible values of X?b. Give three possible outcomes and their associated X values.the maximum of the two tosses2. Two fair six-sided dice are tossed independently. Let M =(so M(1,5)=5, M(3,3)=3, etc.) What is the pmf of M? [Hint: First determine P(M=1), thenP(M=2), and so on.]

Answered: Image /qna-images/answer/4d24cf89-9af6-4956-851a-fc098c37d009.jpg

Answered: 1. Let X = the number of nonzero digits…

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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4. A player spins a fair spinner with 3 sections, numbered 0, 2, and 6. Then the player tosses a fair die with four faces, numbered 1, 2, 3, and 4. The player's score is determined by doubling the number on the die, and then subtracting the number on the spinner. What is the average score for this game?
TF.2
6. You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. а. List all of the possible outcomes for this game (i.e., the sample space). b. Calculate your expected value for this game. Game Outcome Probability c. Is this game profitable over time? How do you know?
3. Three dice is thrown. a. How many different outcomes are possible? b. If you picked a certain sum as your lucky number, in how many ways could you get a sum of: b₁ : b₂ : b3 : b4 : bs : 4 3 17 18 20
A: Green is just as likely as red or blue to appear. B: Green is just as likely as blue to appear, but not as likely as red. C: Green is not as likely as red or blue to appear. D: Green is not as likely as blue to appear, but is as likely as red.
1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls are drawn from the box without replacement for the 1 ball, compute (a, b, c, and d). 3. If two balls are drawn together from the box, compute (a, b, c, and d). a. Probability that the two balls are red? b. Probability that the two balls are white? c. Probability that the 1" ball is red, and the 2nd is white? d. Probability that the 1" ball is white, and the 2nd is red? Red 5 White
Roll a pair of fair six-sided dice and let X be 1 if the dice land showing the same number of spots, and 0 otherwise. For example, if both dice land 2, then X = 1, but if one lands 2 and the other lands 3, then X = 0. What is P(X = 1)? Explain your reasoning below.
Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find E(Y). Select one: О а.35/18 O b. 35/6 O c. 0 d. 5/6 e. None of the other choices
5. ) Suppose you select a number from 1-10 at random. Find the probability of each situation. a. P(even number) b. P(1 or 4) c. P(Less than 8) d. P(greater than 10)
Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find E(Y). Select one: а. 35/6 b. 35/18 С. О d. 5/6 e. None of the other choices
. A swimmer, Sarah, hopes to compete in an upcoming meet. There are 8 team members eligible for the breaststroke event at the meet, but only 1 team member will be randomly selected to compete in that event. There are 4 team members eligible for the butterfly event at the meet, but only 1 team member will be randomly selected to compete in that event. Sarah is eligible to compete in both events. What is her chance of being selected for at least one of the two events? Select one: a. 1 in 4 b. 1 in 8 c. 3 in 8 d. 3 in 12

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