this is for stat please asnwer clearly

1

Fill in the blank. A random variable has either a finite or a countable number of values. A discrete random variable has either a finite or a countable number of values. Is the random variable given in the accompanying Number of table discrete Girls, x or continuous? Explain. 0 1 2 3 4 The random variable given in the accompanying table is the probabilities are decimal values. because Find the mean of the random variable x. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. {:3 A- p: household(s) (Round to one decimal place as needed.) {:2} 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, fill in the answer box to complete your choice. O A. 6= household(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.Fill in the blank. In the binomial probability formula, the variable x represents the E In the binomial irobabiliti formula, the variable x represents the number of successes. number of trials. probability of success in one trial. probability of getting x successes among n trials. 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, 4300 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. (E- Choose the correct answer below. If} A. It is binomial or can be treated as binomial. 6'} B. It is not binomial because the selections are not independent. (The 5% guideline for cumbersome calculations should not be used.) C. It is not binomial because the probability of success does not remain the same in all trials. i") D. It is not binomial because there are more than two mutually exclusive outcomes for each trial. Based on a survey, 35% of likely voters would be willing to vote by internet instead of the inperson traditional method of voting. For each of the following, assume that 15 likely voters are randomly selected. Complete parts (a) through (0) below. (I) a. What is the probability that exactly 12 of those selected would do internet vong? D (Round to ve decimal places as needed.) b. if 12 of the selected voters would do internet voting, is 12 significantly high? Why or why not? Select the correct choice below and fill in the answer box within your choice. (Round to five decimal places as needed.) O A. No, because the probability of 12 or more is , which is not low. O B. No, because the probability of 12 or more is which is low. O C. Yes, because the probability of 12 or more is which is not low. O D. Yes, because the probability of 12 or more is which is low.c. Find the probability that at least one of the selected likely voters would do internet voting. D (Round to three decimal places as needed.) Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 31 couples. Complete parts (a) through (c) below. (E a. Find the mean and the standard deviation for the numbers of girls in groups of 31 births. The value of the mean is p: E. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = D. (Round to one decimal place as needed.) Households are randomly selected and partitioned into P(x) groups of four. For those groups, the random variable x 0327 is the number of households with a printer. Determine . . . . . . . 0.147 whether a probability distribution Is given. If a 0 330 probability distribution is given, nd its mean and ' standard deviation. If a probability distribution is not 0-357 given, identify the requirements that are not satisfied. 0.139 (E- Does the table show a probability distribution? Select all that apply. D A. Yes, the table shows a probability distribution. D B. No, not every probability is between 0 and 1 inclusive. Cl C. No, the numerical values of the random variable x are not associated with probabilities. D D. No, the random variable x is categorical instead of numerical. D E. No, the sum of all the probabilities is not equal to 1. Assume that when human resource managers are randomly selected, 55% say job applicants should follow up within two weeks. If 9 human resource managers are randomly selected, find the probability that at least 3 of them say job applicants should follow up within two weeks. CE The probability is D. (Round to four decimal places as needed.)