Question # 1) How many permutations can be formed by sampling 4 things from 7 different things without replacement?

Question# 2)How many combinations of 4 people can be formed from 7 people?

Question# 3) Assume the following new probabilities:

P(Customer makes a purchase) =0.300

P(Customer does not make a purchase) = 1- 0.300

please compute the probability that neither customer

Purchases (# purchases=0) and show answer with 3 decimal places.

Question #4) Assume the following new probabilities:

P(Customer makes a purchase) =0.500

P(Customer does not make a purchase) = 1- 0.500

please compute the P(1 purchase), and show answer with 3 decimal places.

Question #5) Republican Democrat Independent

male-------0.611 0.003 0.048

Female------0.126 0.125 0.088

P(Male) is a----------Probability.

• Marginal, Conditional or Joint

Question #6) Republican Democrat Independent

male-------0.177 0.053 0.030

Female------0.194 0.039 ?

• please compute the probability of the event Democrat, and show the answer with 3 decimal places.

Question #7) There are two mutually exclusive reasons for visiting the emergency room of the hospital: it is either an emergency or it is not an emergency.

if the probability that a patient visiting the emergency room has an emergency is 0.72 , what is the probability that the next patient has an emergency and

the patient after the next one does not have an emergency? Assume that the patients arrive at the emergency room independently. ( please round the answer to three decimal places).