Bacground on the game:

The game designers are working on a new mobile game , where the the players flip a virtual coin onto a board with four colored numbers and get a certain number of points based on where it lands and what side of the coin (H,T) is showing.

The coin has the following numbers (6 & 8 in pink, 2 & 7 in yellow

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Question

* You get 77000 bonus points when you get a tails on 7 or more times out of 20 flips.

WHen this happens, a big 717 flashes on the screen as the players score skyrockets.

THe game designers want to check on how likely it is that a player will get a T7 a certain number of times in 20 flips.

You can do this by constructing a ...........(?)........... distribution

(1) Poisson (2) Normal (3) Binomial (4) Uniform

with ................. (?)

(a) n=20, p = 0.05

(b) Mu = 7, sigma = 0.125

(c) Mu = 20, sigma = 7

(d) n = 7, p = 0.25.