A random variable is the set of possible outcomes of an experiment. Select one: O True False
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Q: The sum of the probabilities of the outcomes in the sample space is 1. O True O False
A: Solution is True
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- At a Raffle, 1000 tickets are sold at $5 each. There are 20 prizes of $100, and 1 grand prize of $2000. Suppose you buy one ticket. Let the random Variable X represent your net gain (remember that the net gain should include the cost of the ticket) after playing the game once. Question: If you ply in such a raffle 100 times, what is the expected net gain?List all the possible outcomes and determine the values of the random variable in each of the following situations. Use a table for your answers. c.) Three consuls were selected at random one after the other in a meeting of consuls which was attended by 4 Australians and 2 Americans. Let G be number of Australians.Construct the table for Random Variable given the scenario: Suppose there are three people to be tested in Covid-19. Let P represent positive, N represent negative, and X be the random variable representing the number of infected persons that occur. Find the random variable X. (Clue: there are 8 possible outcomes) Value of the Random Variable X Possible Outcomes (number of infected or positive) The possible values of the random variable are X =.
- 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?Give the sample space for a chance experiment with four possible outcomes. (Select all that apply.) flipping four coins: {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} flipping two coins: {HH, HT, TH, TT} picking one of four unique cards: {10, 9, 8, 7} a random number generator is used to select a whole number between 1 and 4 inclusive: {1, 2, 3, 4}rolling a die: {1, 2, 3, 4, 5, 6}Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
- In tossing 2 fair coins, what is the expected number of heads? Let the random variable X represent the number of heads.A multiple-choice examination has 11 questions, each with five possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that he answers at least six questions correctly? a. 0.1064 O b. 0.2117 O C. 0.0117 O d. 0.3064 O e. 0.3117Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
- Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 7-foot and a 12-foot model, and each is available in black, forest green, and rust. (a) He buys a 12-foot forest green umbrella. (b) He buys a 7-foot umbrella. (c) He buys a black-colored umbrella. (a) He buys a 12-foot forest green umbrella. The probability is. (Type a simplified fraction.)K rch Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 9-foot and a 12-foot model, and each is available in gray, forest green, and white. (a) He buys a 12-foot forest green umbrella. (b) He buys a 9-foot umbrella. (c) He buys a gray-colored umbrella. Write out the sample space. Choose the correct answer below. OA. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green), (12-foot, white)} OB. {(9-foot, 12-foot), (gray, forest green), (forest green, white), (gray, white)} OC. {(9-foot, gray), (9-foot, forest green), (9-foot, white), (12-foot, gray), (12-foot, forest green)} OD. Ø (a) He buys a 12-foot forest green umbrella. The probability is (Type an integer or a simplified fraction.) O t ... er (DELL) Time Remaining: 01:36:59 66°F @ 3 Next 2:27 PM 12/3/20224- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.
