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- A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings (pepperoni, sausage, and bell peppers). Draw an area model to represent the situation. Then use your area model to find the probability a random customer in the pizza restaurant would order a thin-crust pizza with pepperoni or sausage.Suppose a playlist on a music player consists of 100 songs, of which seven are by a particular artist. Songs are played by selecting a song at random (with replacement) from the playlist. Let the random variable x represent the number of songs played until a song by this artist is played.Two coins are tossed.Let H be the number of tails that occur .Determine tha values of random variable H.
- A fair dice is rolled. If the outcomes are 1,2,3 or 4, a fair coin is flipped once. If the outcomes are 5 or 6, the coin is flipped twice. Assume the outcomes of dice and the number of tails are represented with random variables X and Y , respectively. Calculate the amount of information for X given Y .Suppose that 2 defective microwaves have been included in a shipment of 6 microwaves. The buyers want to test the 6 microwaves one at a time. Let Y denote the number of defective microwaves is found after 3 random selected ones have been tested. a. Calculate the probability that the buyers can find at least 1 defective microwave after 3 have been tested? b. Find the probability that buyers cannot find any defective microwave after 3 random ones have been tested?Which of the following is not a discrete random variable? A.The number of heads when we toss two coins. B.The number of accidents per week. C.Amount of cooking oil sold in a departmental store in a day. D.All of the choices.
- 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.. What's in the Bin? – In the first round, Shawn has to guess the item hidden in each of the 6 distinct bins. In every bin, he will be given three options to choose from: one is the correct hidden item and the other two are the incorrect ones. Every correctly guessed item is worth 10000 pesos, and if Shawn guesses all 6 items correctly, he will win a brand new house and lot. ( Suppose the random variable, X, is the number of correctly guessed items for the six bins. This illustrates a random experiment following a multinomial distribution with number of trials, n, equal to seven and probability of correctly guessing an item equal to 0.0013 Accordingly, below is the probability distribution table for the number of correctly guessed items, X. X 2 3 4 P[X=x] 0.0878 0.2634 0.3292 0.2195 0.0823 0.0165 0.0013 In this round, the probability that his winnings will be around 30,000 to 50,000 pesos is Click or tap here to enter text. While the chance that he will a brand new house and lot is…A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack.i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s.ii. What is the probability that the order will be accepted?iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
- Two balls are drawn in succession without replacement from an urn containing 5 white balls and 6 black balls. Let B be the random variable representing the number of black balls. Construct the probability distribution of the random variable B.A. Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting motion. A free throw is counted as one point if the ball went in the basket and zero if it misses. Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he shots 5 free throws every day in practice. Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw attempts. This illustrates a random experiment following a distribution with number of trials, n, equal to and probability of making a basket, p, equal to Accordingly, below is the probability distribution table for the number of baskets made in his practice, X. X P[X = x] 0 1 2 0.0102 0.0768 0.2304 3 0.3456 In his practice, the probability that he can get 2 to 4 points is the chance that he will make a perfect score is 4 0.2592 5 WhilePlease answer the number 4 Thank you!