The Poisson probability distribution is used with _____. a. either a continuous or discrete random variable b. any random variable c. a discrete random variable d. a continuous random variable
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- Let W be a random variable giving the number of tails minus the number of heads in three tosses of a coin. Assuming that a tail is one-fifth as likely to occur, find the probability distribution of the random variable W. Complete the following probability distribution of W. 3 1 -1 -3 1 12 48 64 f(w) 125 125 125 125 (Type integers or simplified fractions.) Save WA random sample of 3 households is selected. The probabilities that certain number of households have a pet dog are listed. prob. of households with a dog P(x) probability that x households have %3D x (# of households) a dog 0.036 1 0.219 2 0.444 0.301 a) Does this table describe a probability distribution? Give a reason for your answer. Do not simply say yes/no b) What is the mean? Show work Edit View Insert Format Tools Table BIUA e Pv: 12pt v Paragraph v DELLA random variable which can take any value in an interval is called a a. continuous random variable. O b. discrete random variable. O c. statistic. O d. outcome.
- High 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?Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.determine whether the random variable x is discrete or continuous. let x represent the populations of the 50 U.S. states
- The number of automobiles sold by a dealership in a day is an example of The binomial random variable. b. A continuous random variable. c. The normal random variable. d. A discrete random variable.A discrete random variable, y, has a probability distribution y: 6, 7, 8,9,10,11 and P : 0.13 ,0.26 ,0.14, 0.09 ,0.11,0.27 Calculate the standard deviation of y. a. O 0 O b. 1 C. O 0.54 d. no one of them OYou and your friend carpool to school. Your friend has promised that he will come pick you up at your place at 8am, but he is always late(!) The amount of time he is late (in minutes) is a continuous Uniform random variable between 2 and 13 minutes. Which of the following statements is/are true? CHECK ALL THAT APPLY.A. The mean amount of time that your friend is late is 7.5 minutes.B. The standard deviation of the amount of time that your friend is late is at about 3.18 minutes.C. It is less likely that your friend is late for more than 12 minutes than he is late for less than 3 minutes.D. None of the above
- Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rainfall in a country in a year b. The last book a person in City A read c. The time it takes to drive from City A to City B d. The weight of a hamburger e. The number of people with blood type B in a random sample of 32 people f. The number of home runs in a baseball game a. Is the amount of rainfall in a country in a year a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. c. Is the time it takes to drive from City A to City Ba discrete randoni variable, continuous random…Prescott National Bank has 6 tellers available to serve customers. Let the random variable X be the number of tellers that are busy at 1pm on any given business day. The following is the probability distribution of X: Value of X 0 1 2 3 4 5 6 Probability 0.02 0.05 0.08 0.14 0.23 0.27 0.21 Find the probability that 4 or fewer tellers are busy, P(X < 4). A) 0.31 B) 0.44 C) 0.52 D) 0.57 Find the mean of the random variable X, μμ X A) 3 B) 4.16 C) 4.88 D) 3.34 E) 3.5 Find the standard deviation of the random variable X, σσ X = A) 1.0226 B) 0.7291 C) 1.5213 D) 1.8183d and e only
