Question: Consider the probability distribution shown for the random variable x found below. Complete part a through f. X 5 6 8 14 p(x) 0.5 0.1

 Consider the probability distribution shown for the random variable x found

Consider the probability distribution shown for the random variable x found below. Complete part a through f. X 5 6 8 14 p(x) 0.5 0.1 0.1 0.3 a. Find u = E(x). H = (Round to the nearest tenth as needed.) b. Find 62 = =[(x - 1)2]. o2 = (Round to the nearest hundredth as needed.) c. Find o. = (Round to four decimal places as needed.) d. Interpret the value you obtained for u. Choose the correct answer below. O A. The average value of x over many trials will be more than J. O B. The average value of x over many trials is equal to u. O C. The average value of x over many trials will be less than u. e. In this case, can the random variable x ever assume the value ? O Yes O No f. In general, can a random variable ever assume a value equal to its expected value? O Yes

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