thanks i need help with ths assignment

Using the situation below, answer the given questions. Show all work to receive full credit.

A university administrator tells you that, each year, 26% of students in the introductory Chemistry classes withdraw within the first month. This means that 74% of students stay in the course for at least one month. Each year, one class begins with 250 students.

1. Verify that a binomial model is appropriate for this distribution. (Note: Do not simply state the conditions for a binomial; you must also explain why they are met and include any relevant values for full points.)

2. Find and interpret the expected value and standard deviation of X=number of students who stay in the course for at least one month.

1. Calculate the following probabilities:
   1. Probability that exactly 193 students stay in the course for at least one month, .
   2. Probability that at most 175 students stay in the course for at least one month, .
   3. Probability that at least 200 students stay in the course for at least one month,