Constructing a Discrete Probability Distribution Question: The spinner below is spun two times. The probability of landing on the 1 is 0.25. The probability of landing on the 2 is 0.25. The probability of landing on the 3 is 0.50. Let x be the sum of the two spins. Construct a probability distribution for the random variable x.
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- 2A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day. X= #sold 10 15 20 Probability 0.28 0.36 0.03...? 0.07 What is the probability of selling 15 cheesecakes in a given day? What is the probability of selling at least 10 cheesecakes? What is the probability of selling 5 or 15 chassescakes? What is the peobaility of selling 25 cheesecakes? Give the expected number of cheesecakes sold in a day using the discrete probability distribution? What is the probability of selling at most 10 cheesecakes?Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 17% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (round to four decimal places as needed) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. c. Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. 1- No, because both generators fail about __% of the time they are needed. Given the importance of the hospital's needs, the reliability should be improved. (Round to the…
- Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.Suppose the number of rides that a visitor enjoys at Disney Find the mean number of rides for a Disney World visitor. World during a day is a random variable with the (Use decimal notation. Give your answer to two probability distribution given in the table. decimal places.) 5 6 7 8 9 10 11 12 p(x)0.040.07 0.09 0.120.200.300.130.05High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
- Give the probability distribution for the indicated random variable. (Enter your probabilities as fractions.) A red die and a green die are rolled, and X is the sum of the numbers facing up. x 2 3 4 5 6 7 8 9 10 11 12 P(X = x)Q12: In order to start a particular board game, a player must roll a 1 or a 6. Show the probability distribution for the number of rolls required to start, up to 10 rollsFor each experiment described below, let x determine a random variable, and use your knowledge of probability to prepare a probability distribution Two dice are rolled, and the total number of points is recorded.
- SPzai1 33. Obtain the probability distribution of X, the number of heads in three tosses of a coinFor the experiment described below, let x determine a random variable, and use knowledge of probability to prepare a probability distribution. Two names are drawn from a hat, signifying who should go pick up pizza. Five of the names are on the swim team and six are not. The number of swimmers selected is counted. Complete the probability distribution below. 1 P(x) (Round to four decimal places as needed.)Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. d. Construct a probability distribution for this experiment. P(X) e. Construct a histogram for the probability distribution in the space below.