List the probability value for each possibility in the binomial experiment calculated at the beginning of this lab, which was calculated with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places) (8 points) P(x=0) P(x=1) P(x=2) P(x=3) P(x=4) P(x=5) P(x=6) P(x=7) P(x=8) P(x=9) P(x=10)

P (X = 0) = 0.001        P (X = 4) = 0.205        P (X = 8) = 0.044

P (X = 1) = 0.010         P (X = 5) = 0.246        P (X = 9) = 0.010

P (X = 2) = 0.044        P (X = 6) = 0.205       P (X = 10) = 0.001

P (X = 3) = 0.117          P (X = 7) = 0.117

Step-by-step explanation:

In case of a Binomial experiment there are n repeated trials and each trial has only two outcomes: Success or Failure. The probability of success is denoted by p and the probability of failure is (1 - p).

The binomial experiment follows a discrete probability distribution with PDF :

;x = 0, 1, 2, 3...

Given: n = 10 and p = 0.50

(1)

The value of P (X = 0) is:

(2)

The value of P (X = 1) is:

(3)

The value of P (X = 2) is:

(4)

The value of P (X = 3) is:

(5)

The value of P (X = 4) is:

(6)

The value of P (X = 5) is:

(7)

The value of P (X = 6) is:

(8)

The value of P (X = 7) is:

(9)

The value of P (X = 8) is:

(10)

The value of P (X = 9) is:

(11)

The value of P (X = 10) is:

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or