We asked 6 students how many times they rebooted their computers last week.. There were 4 Mac users andPC users.• The PC users rebooted 2 and 3 times.• The Mac users rebooted 1, 2, 2 and 8 times.Let Y₁ be a Bernoulli random variable representing the type of computer of a randomly chosen student(i.e., Y₁ = 0 for MAC user, and Y₁ = 1 for PC user)Let Y₂ be the number of times a randomly chosen student rebooted (so Y₂ takes values 1,2,3,8).(a) Find the joint probability function for Y₁ and Y₂(b) Find F(1, 1)

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Answered: We asked 6 students how many times they…

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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You are a customer support manager at Apple. Your staff are rated by the customer after each support call they close. Each month you randomally sample the cases of each employee and if you find sufficient "Perfect" cases then you give the employee a $250 award. This month you give the award if you find (at least) 4 Perfect cases. Suppose an employee handled 42 cases of which 7 are Perfect cases and 35 are not. Assume you sample 10 of the cases of that employee. Answer the following: a. What is the probability that you will find no Perfect cases? nothing. (Round to four decimal places as needed.) b. What is the probability that there will be at least 1 Perfcet case? (Round to four decimal places as needed.) c. What is the probability that there will be 4 Perfect cases? (Round to four decimal places as needed.) d. What is the probability that the award will not be given? (Round to four decimal places as needed.)
Uttar Pradash, Rajasthan and Bihar are subregions of India. It is reported that 94% of Uttar Pradash residents say Hindi is their first language of choice, 89% of Rajasthan residents say Hindi is their first language of choice, and 78% of Bihar residents say Hindi is their first language of choice. Suppose that 8 residents are randomly sampled from each of these regions (so 3x8 total residents are sampled). Calculate the probability that they all say Hindi is their first language of choice. Use decimal notation and three decimal place accuracy.
Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let the random variable X denotes the number of requests receiving per hour. Find the expected number of requests received per 30 minutes.
In each of the examples that follow, determine what value the random variable would assign to the specific outcome listed. You have some number of coins in your pocket, and you choose two at random. The random variable ZZ assigns the value of the coins in cents to each outcome. What value is assigned when you draw out a quarter and a dime? A coin is flipped three times. YY is a random variable that assigns 3 times the number of heads flipped minus 2 times the number of tails flipped. What number is assigned to HHT? A person picks a number between 1 and 272820. The random variable ZZ assigns the 0 to an even number and 1 to an odd number. What number is assigned to 270221?
Sleep researchers were trying to understand the impact of cell phone use before bedtime on the amount of time it took a person to fall asleep. Using a matched pairs design, they chose 8 subjects and recorded the amount of time it took the subject to fall asleep, both when using the cell phone up to attempting to sleep and stopping using the cell phone 2 hours prior to attempting to sleep, in random order. The amount of time for each person for each attempt is recorded in the table below. Person 1 2 3 4 5 6 7 8Until Attempt 22 17 45 15 35 19 36 18Two Hours Prior 18 18 40 8 23 15 32 12Difference a. Compute the difference for each observation.b. Based on the above data compute the mean and sample standard deviation of the difference.
Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is gbb, then =Rgbb1. Suppose that the random variable X is defined in terms of R as follows: =X−2R−R22. The values of X are given in the table below. Outcome ggb gbb bgb bbb bbg bgg ggg gbg Value of X −2 −1 −1 −2 −1 −2 −5 −2 Calculate the values of the probability distribution function of X , i.e. the function pX . First, fill in the first row with the values of X . Then fill in the appropriate probabilities in the second row. Value x of X pXx
A of I women and 6 men are randomly divided into 2 groups of size 6 eaen. What is the probability that both groups will have the same number of men? group
3 dices are rolled together. If X is the random variable for the sum of the results of the 3 dices, how many possible values does the random variable X contain?
please help!
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why? What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)
In a club consisting of 8 males and 4 females, 5 members will be selected to represent the club in a seminar-workshop. If the random variable F represents the number of female members selected, what is P(F > 2)?

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