Two friends go on a fishing trip. Bill believes his chance of catching a marlin is .45 and Jordan believes his chance is .65.

You must show work or give an explanation for each question.
Round all answers to 3 decimal places (or leave as a fraction)
I’m going to hand write this all out after I receive it, I know a lot of math heavy people tend to write out answers in the most complicated fashion similar to coding language, as long as their clear for me, I’m happy :]
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Question 1: Two friends go on a fishing trip. Bill believes his chance of catching a marlin is .45 and Jordan believes his chance is .65.
A.) What is the probability that Bill AND Jordan both catch a marlin?
B.) What is the probability that Bill AND Jordan both fail to catch a marlin?
c.) What is the probability that Bill OR Jordan catch a marlin?
Question 2: A survey is taken to determine the number of cups of coffee a person likes to drink each day. The fallowing probability distribution shows the proportion of people in each category
(cups per day) l P(x)
____(x)_________P(x)________
0              l  .09
1              l  .10
2              l  .20
3              l  .40
4              l  .12
5              l  .09
A.) Draw a graph of this probability distribution.
B.) Find the mean and standard deviation of this probability distribution
C.) If a person is selected at random, What is the expected number of cups they like to drink?
Question 3: For the binomial probability distribution with n=4 and p=.60
A.)  List the distribution in the form :                  x  l  P(x)
___ l______
l
l
l
**use the binomial probability formula and show your work
B.) What is the probability of getting at least one success this experiment?
C.) Find the mean and standard deviation of this binomial distribution.
Question 3: At a particular school, 87% of the students took the SAT exam. We randomly select 15 students and ask them if they took the SAT.
A) What is a trial in this binomial experiment?
B.) What is a success, What is a failure?
C.) What are the values of n,p,q?
D.) What is the probability that all 15 took the SAT exam?
E.) What is the probability that at least 14 took the exam?