1. Assuming the binomial distribution applies with a sample size of n 15, find
a. the probability of 5 or more successes if the probability of a success is 0.30
b. the probability of fewer than 4 successes if the probability of a success is 0.75
c. the expected value of the random variable if the probability of success is 0.40
d. the standard deviation of the random variable if the probability of success is 0.40
2. A random variable follows a binomial distribution with a probability of success equal to 0.65. For a sample size of n 7, find
a. the probability of exactly 3 successes b. the probability of 4 or more successes c. the probability of exactly 7 successes
d. the expected value of the random variable
3. A random variable follows a binomial distribution with a probability of success equal to 0.45. For n 11, find
a. the probability of exactly 1 success
b. the probability of 4 or fewer successes c. the probability of at least 8 successes