1. a. Two fair dice are rolled at once. Let X denote the difference in the number of dots that appearon the top faces of the two dice (positive differences only). Thus, for example if a one and a fiveare rolled, X = 4, and if two sixes are rolled, X = 0. Calculate and graph the probability distribution.Xb. Calculate the Expected Value. 2.The die is rolled five times.a. Find the probability of three 6's occurring.b. Find the probability of at least one 6 being rolled.

Given : Two dice have been thrown X denote the difference between the dots shows in the top of two…

Answered: 1. a. Two fair dice are rolled at once.…

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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3. Suppose we choose a student at random from a local high school. Let Y = the number of siblings they have. The probability distribution of Y is as follows. 2 3 4 5 Y 1 Probability 0.35 0.20 0.10 0.02 0.08 0.25 а. Create a histogram for the probability distribution and describe its shape (Put on back). b. Find the probability that the randomly selected student has at least one sibling. Describe in words what P(Y < 2) means and find the probability. d. Calculate and interpret the mean of Y. e. Calculate and interpret the standard deviation of Y. a. C.
e. P(a number greater than 0) = f. P(10) = g. a 5 or a 2 h. NOT a 2 or a 3 1. a 9 J. a negative number 19. If two dice are rolled one time, find the probability of getting these results.
you grab 4 marbles from a bag containing 5 red marbles and 2 green marbles. Let X be the number of red marbles you grab. a. Complete yje probability distribution for X. Show all your work. x p(X=x)
Determine which of the following numbers could not represent the probability of an event. 440 35 1219 22 0,0.019, - 0.6, 40%, Select all that apply. OA. 0 B. 35 22 O C. 440 1219 O D. -0.6 E. 0.019 F. 40%
The number of customer orders for 21-inch (“two-page”) computer monitors at a large mail-order firm averages 10 monitors per day. The average level of customer demand is constant, and customers do not affect one another in their buying habits. a.Determine the probability that more than 10 monitors will be purchased in a day. b.Find the probability that exactly 7 monitors will be purchased in a day. C.There are currently 12 monitors in stock, and no more will arrive from the manufacturer for another 2 days. What is the probability that no monitor will have to be back ordered?
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
Note. Get the possible values of a random variable first. A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. a. Constuct the probability distribution of X. b. Find P(X>9)
The random variable X represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Please show your . Thank you.
Non-standard dice can produce interesting distributions of outcomes. Youhave two balanced, six-sided dice. One is a standard die, with faces having 1, 2, 3, 4, 5,and 6 spots. The other die has two faces with 1 spot, two faces with 3 spots, and twofaces with 6 spots. Find the probability distribution for the total number of spots X onthe up-faces when you roll these two dice.
If a pair of dice is tossed, find the probability of the following events:1. Two even numbers showing2. A sum less than 83. An odd sum showing4. The two numbers differ by 2 or less.
You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.

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