could help me please

QUESTION 3 The random variable T has a probability distribution given below: Find the variance for the following discrete probability distribution In a binomial distribution n = 7 and p=0.35 (a) find P( X 2) (b) find the mean and variance of the distribution (iii) The random variable, Y- Po(0.025). Find P(Y > 2) QUESTION 4 In economic theory, a "hurdle rate" is the minimum retum that a person requires before they will make an investment. A research report says that annual returns from a specific class of common equities are distributed according to a normal distribution with a mean of 12 percent and a standard deviation of 18 percent. A stock screener would like to identify a hurdle rate such that only 1 in 20 equities is above that value. Where should the hurdle rate be set? [5] (ii) For drivers in the 20-24 age bracket, there is a 34% rate of car accidents in one year (based on data from the National Safety Council). An insurance investigator finds that in a group of 500 randomly selected drivers aged 20-24 living in New York City, 40% had accidents in the last year. What is the probability that in a group of 500 randomly selected drivers, at least 40% had accidents in the last year? 15]