Problem 1: Consider a discrete random variable X representing the number of Stat 3309 students who are mathematics major with corresponding probabilities
x: 5, 7, 8, 10, 15, 20
p(x): 0.05, 0.05, 0.15, m, 0.2, 0.1
1. Find m.
A. 0.175 B. 0.55 C. 0.45 D. 0.1 E. none of these
2. Find the probability that X is at least 7.
A. 0.15 B. 0.2 C. 0.95 D. 0.5 E. none of these
3. Find the expectation of X.
A. 11.3 B. 14.7 C. 24.5 D. 32 E. none of these
4. Find the variance for X.
A. 32.12 B. 15.61 C. 25.14 D. 66.21 E. none of these
5. Find the standard deviation for X.
A. 13.55 B. 21.15 C. 3.95 D. 0.3 E. none of these