X is a normal random variable with mean = 50, variance = 4. what is P(X > 54)? (multiple choice)
Sigiloso
Variance of 4 implies a std deviation of 2. We know 95% of normally distributed data lies between 2 std devs. As normal distribution is symmetric this implies 2.5% lie greater than 2 std devs. Hence, P(X > 54) = 0.025