this is for stat please answer clearly typed

Q1:

Fill in the blank. In a probability histogram, there is a correspondence between In a probability histogram, there is a correspondence between variation and area. volume and probability. area and probability. area and volume. Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of runs scored during a baseball game b. The "yes" or \"no" response to a survey question c. The number of textbook authors now eating a meal d. The number of home runs in a baseball game e. The number of pigeons in a country f. The number of light bulbs that burn out in the next year in a room with 18 bulbs (E a. Is the number of runs scored during a baseball game a discrete random variable, continuous random variable, or not a random variable? if} A. It is a continuous random variable. if} B. It is a discrete random variable. C. It is not a random variable. b. Is the "yes" or "no" response to a survey question a discrete random variable, continuous random variable, or not a random variable? if} A. It is a discrete random variable. if} B. It is a continuous random variable. {:1} C. It is not a random variable. C. Is the number of textbook authors now eating a meal a discrete random variable, continuous random variable, or not a random variable? c. Is the number of textbook authors now eating a meal a discrete random variable, continuous random variable, or not a random variable? {1'} A. It is a discrete random variable. i' j) B. It is a continuous random variable. {I j} C. It is not a random variable. d. is the number of home runs in a baseball game a discrete random variable, continuous random variable, or not a random variable? 5:} A. It is a discrete random variable. {I} B. It is a continuous random variable. ':':- C. It is not a random variable. e. Is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable? {1'} A. It is a discrete random variable. i_ j} B. It is a continuous random variable. {I j) C. It is not a random variable. f. Is the number of light bulbs that burn out in the next year in a room with 18 bulbs a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. i"? B. It is a continuous random variable. C. It is not a random variable. In a survey, cell phone users were asked which ear they use to hear their cell phone, and the P{x) CI table is based on their responses. Determine whether a probability distribution is given. If a Left 0.6362 probability distribution is given, nd its mean and standard deviation. If a probability Right (13035 distribution is not given, identify the requirements that are not satisfied. No 0 0603 preference ' {E} Does the table show a probability distribution? Select all that apply. |:| A. Yes, the table shows a probability distribution. |:| B. No, not every probability is between 0 and 1 inclusive. |:| C. No, the numerical values of the random variable x are not associated with probabilities. |:| 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. A. ll : (Round to one decimal place as needed.) ii} B. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, ll in the answer (3' A- 0: (Round to one decimal place as needed.) {:2- B. The table does not show a probability distribution. Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number ofgirls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. @ Click the icon to View the data table. E) The mean is p = D girl(s). (Round to one decimal place as needed.) The standard deviation is o = D girl(s). (Round to one decimal place as needed.) Table of numbers of girls and probabilities Number of Girls x P(x) 0.005 0.033 0. 104 0.216 CONOUIAWN- O 0.279 0.217 0.107 0.034 0.005Based on a survey, assume that 39% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when ve consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. (E The value of n is E. (Type an integer or a decimal. Do not round.) The value ofx is E. (Type an integer or a decimal. Do not round.) The value of p is E. (Type an integer or a decimal. Do not round.) The value of q is E. (Type an integer or a decimal. Do not round.) Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. In a survey of a large country, 4900 different households were randomly selected without replacement, and respondents were asked whether the household had a smart TV. Answers of "yes" and \"no" were recorded. (3) Choose the correct answer below. 5:} A. It is binomial or can be treated as binomial. B It is not binomial because there are more than two mutually exclusive outcomes for each trial. C. It is not binomial because the probability of success does not remain the same in all trials. D It is not binomial because the selections are not independent. (The 5% guideline for cumbersome calculations should not be used.)