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- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. OA. H= adult(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. an example # 3 A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. E. No, the sum of all the probabilities is not equal to 1. Find the mean of the random variable x. Select the correct choice below…random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17.0.23, 0.2.0.3.0.1 the expected value of y is 5 O a. True Ob. FalseFill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4,-2,3,5, and 6.
- 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?Fill in the P(X=x)values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −2,1, 3, 4, and 5.Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 Probability 0.057 0.124 0.164 0.178 0.210 0.128 0.086 0.053 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is so the average student is involved in (Round to one decimal place as needed.) ... The standard deviation is so the typical number of activities per student
- Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 1, 2, 4, 5, and 6. Value x of X P(X = x) %3D 1 0.10 2. 0.20 4 6. 0.28Fill in the blanks: The random variable Y has the probability distribution given the following table. у: 2 3 4 5 6 7 P (Y = y): 0.15 0.1 a 0.25 0.11 0.2 Determine the standard deviation of Y.construct a probability distribution for the data and draw a graph for the distribution. Garage Space The probabilities that a randomly selected home has garage space for 0, 1, 2, or 3 cars are 0.22, 0.33. 0.37, and 0.08, respectively
