A random variable has the following probability distribution:Probability Outcome0.10 100.80 200.10 60The expected value of the random variable is closest to:A.20.B.23.C.30.

Suppose a normal distribution has a mean of 62 and a standard deviation of 4. What is the probability that a data value is between 57 and 65? Round your answer to the nearest tenth of a percent.A.69.8%B.67.8%C.68.8%D.66.8%SUBMITarrow_backPREVIOUS

A random variable X has the following probability distribution.x 0 1 2 3 4 5 6 7p(x) 0 k 2k 2k 3k k2 2 k2 7k2+kFind (i) The value of k (ii) 𝑃(1.5 < 𝑥 < 4.5/𝑥 > 2) and(iii) The smallest value of n for which 𝑃(𝑋 ≤ 𝑛) > 12.

Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is knownthat both friends’ scores are approximately normally distributed, where Andy has a mean score of 150 with astandard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that theirscores are independent, which of the following values is closest to the probability that Andy will have a greaterscore than Bob in a single game?(A) 0.16(B) 0.28(C) 0.31(D) 0.33(E) 0.37

Find the Expected value of the following distributionx -20 -10 30 75 80P(x) 3/20 1/5 1/2 1/10 1/20(a) 20.5(b) 21.5(c) 22.5(d) 24.5

my area is .49 ,in a normal distribution table what value is closest to it?.4901 or .4898?