Part 1A magazine reported the results of a survey of​ 1,000 parents of​ school-age children pertaining to the appropriate age the child should receive his or her first digital device. Let x represent the age​ (in years) a parent would buy their child their first smart speaker. Consider the probability distribution for x​ (adapted from the​ article) shown in the table. Complete parts a through d. LOADING... Click the icon to view the probability distribution. Part 1a. Verify that the properties of a probability distribution for a discrete random variable are satisfied. Select all that apply. A. There are at most ten different values of x. B. There are at least three different values of x. C. Each probability is nonnegative. D. The values of x have practical meaning in the context of the situation. E. The sum of all the probabilities is 1. F. The probabilities are all given to the same number of decimal places. G. The values of x are listed in a meaningful order. H. Each value of x is an integer. Part 2b. Find ​P(x less than 6x<6​).​P(x less than 6x<6​)equals=[input]enter your response here ​(Type an integer or a decimal. Do not​ round.)Part 3c. Find ​P(10 less than x less than 1510<x<15​).​P(10 less than x less than 1510<x<15​)equals=[input]enter your response here ​(Type an integer or a decimal. Do not​ round.)Part 4d. Find​ E(x) and practically interpret this value.​E(x)equals=[input]enter your response here ​(Type an integer or a decimal. Do not​ round.)Part 5Interpret the value of​ E(x) practically. Choose the correct answer below. A. The average amount of children allowed to get their first smart speaker. B. There is no practical interpretation of​ E(x) because the variable is qualitative. C. The average age a child would be allowed to get their first smart speaker D. The probability of getting a smart speaker.多项填空题