A pizza parlour makes an average of 5.25 pizzas every 5 minutes during the dinner rush. What is the probability that the restaurant will make at least one pizza per minute during the dinner rush? Analyze the given scenario and complete the following:

a. Determine which probability distribution should be used to model the scenario.

Hypergeometric

Geometric

Poisson

b. Calculate the probability of the indicated event. P(x)=P(x)=

Round to 3 significant digits

c. Determine the expected value and variance of the random variable. E(X)=E(X)=

Variance=Variance=

Round to 3 significant digits