1 - Select all the following scenarios that are not binomial random variables:

a) Number of cards that are diamonds pulled out of 10 cards selected without replacement from a standard deck of playing cards

b) Number of flowers that turn out green with a probability of .36 from 20 planted seeds that are a cross breed of blue and green flowers

c) The number of 6's rolled out of 6 rolls of a fair sided die.

d) Number of correct answers guessed on a multiple choice an exam that is 100 questions and all the questions have 4 options

e) Number of people who are blonde

2 - Determine the probability of making fewer than 7 free throws out of 10 attempts, where the chance of making any single free throw is .65.

Hint: This is a Binomial distribution. Let X=number of chance making single free throw out of 10, we are asking for P(X<7)=1-P(X>=7), with P=0.65 and n=10.

3 - Determine the probability of 3 out of 5 people getting accepted into a graduate program, where the probability of a single individual being accepted is .15.

Hint: This is a Binomial distribution. Let X=number of a single individual being accepted out of 5, we are asking for P(X=3), with P=0.15 and n=5.

4 - 100 people where sampled and their heights were recorded, it was discovered the mean height was 5 feet and 6.3 inches with a standard deviation of 3.75 inches. What is the probability of someone being shorter than 5 feet and 10 inches tall?

Hint: Normal distribution with mean=5 feet and 6.3 inches and standard deviation of 3.75.

5 - 100 people where sampled and their heights were recorded, it was discovered the mean height was 5 feet and 6.3 inches with a standard deviation of 3.75 inches. What is the probability of someone being 5 feet and 10 inches tall?

Hint: Normal distribution with mean=5 feet and 6.3 inches and standard deviation of 3.75.

6 - The experiment is randomly drawing 3 marbles from a bag with replacement.

The bag contains, 10 green marbles, 8 red marbles, and 5 blue marbles

X = the number of marbles that are red

what is the expected number of red marbles?