Suppose x is a binomial random variable with n = 400 and p = 0.1. Use the normal approximation to binomial probabilities to find following: a. P ( X > 45 ) = b. P ( X 32 ) = c. P ( 34 X 46 ) =Past records show that at a given college 20% of the students who began as psychology majors either changed their major or dropped out the school. An incoming class has 110 beginning psychology majors. What is the probability that as many as 30 of these students leave the psychology program? Group of answer choices 0.9788 0.9719 0.9633 0.6844