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- For each of the following probability distributions, calculate the expected value and standard deviation:Appropriate probability distribution for queuing management on a weekend in a busy food joint would be O a. Normal Ob. Poisson O c. Binomial O d. UniformComplete the following probability distribution table: Probability Distribution Table P(X) - 6 7 0.2 14 0.1 55 0.3
- The following data represent the number of games played in each series of an annual tournament from 1933 to 2003. Complete parts (a) through (d) below. x (games played) Frequency 4 6 7 19 11 16 24 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OB. O B. Oc. D. AP(X) 0.5- AP(x) 0.5- AP(x) 0.5- Q AP(x) 0.5- APIX) 6. 4 5 6 7 5 6 7. 4 4 5 6 (c) Compute and interpret the mean of the random variable x. Hy = 5.6430 games (Round to four decimal places as needed.) Interpret the mean of the random variable x. O A. The series, if played many times, would be expected to last about 4.4 games, on average. B. The series, if played many times, would be expected to last about 5.6 games, on average. C. The series, if played one time, would be expected to last about 5.6 games. (d) Compute the standard deviation of the random variable x. o, = games (Round to one decimal place as needed.)Determine whether the distribution is a discrete probability distribution. Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. No, because some of the probabilities have values greater than 1 or less than 0. O B. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O C. Yes, because the distribution is symmetric. O D. No, because the total probability is not equal to 1. CH X P(x) 0 0.16 1 0.21 0.26 0.21 0.16 3 4The t-distribution is a symmetric distribution. Select one: O True O False
- Show that the Geometric probability distribution, with parameter p, is a valid discrete probability distribution.Assume a Poisson distribution. The mean number of bankruptcies filed per minute in the U.S. in a given year was three.Using R find the probability that at least five businesses will file bankruptcy in any given minute? AnswerHouseholds are randomly selected and partitioned into groups of four. For those groups, the random variable x is the number of households with a printer. 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. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable x 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 and, if necessary, fill in the answer box to complete your choice. O A. H= household(s) (Round to one decimal place as needed.) B. The table does…