3. [-/3 Points] DETAILS PODSTAT6 7.4.037. MY NOTES ASK YOUR TEACHER PRACTICE A Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the following table. X 1 2 3 4 5 6 7 P(x) 0.03 0.04 0.08 0.24 0.42 0.14 0.05 It can be easily verified that u = 4.6 and a = 1.26. (a) Because u - = 3.34, the x values 1, 2, and 3 are more than 1 standard deviation below the mean. What is the probability that x is more than 1 standard deviation below its mean? (b) What x values are more than 2 standard deviations away from the mean value (either less than u - 20 or greater than u + 20)? (Select all that apply.) Ox =1 O X = 2 O x = 3 O x = 4 O x = 5 O x =6 Ox =7 (c) What is the probability that x is more than 2 standard deviations away from its mean value? Need Help? Read It Watch It