Please see problems below

1. Data follows a normal distribution with a mean of 52 and a standard deviation of 12. Compute the following: Probability of a value greater than 55 Probability of a value of exactly 25.52 Probability of a value between 40 and 64 2. Given 120 binary trials, with a probability of success of 65% on each trial, compute the following: Probability of exactly 80 successes Probability of fewer than 75 successes Probability of at least 85 successes 3. Data follows an exponential distribution with a mean of 160. Compute the following: If a value is known to be greater than 50, what is the probability that it is also less than 100? Probability of a value greater than the mean 4. Data follows a Poisson distribution with a mean of 35. Compute the following: Probability of a value of 28 or less Probability of a value equal to 25 5. Data from a stats class shows that historically there have been an average of 12 A's given. Class sizes vary somewhat. Which of the distributions we have studied would be most appropriate for calculating the probability of at least 15 A's being earned in the next section of the course