Consider a binomial experiment with n =13 and p =0.3.

a. Compute f(0) (to 4 decimals).

f(0) =

b. Compute f(12) (to 4 decimals).

f(12) =

c. Compute p(x<=1) (to 4 decimals).

p(x<=1) =

d. Compute p (x>=3) (to 4 decimals).

p(x>=3) =

e. Compute E(x). (to 1 decimal)

E(x) =

f. Compute Var(x) and sigma

Var(x) = (to 2 decimals).

sigma = (to 2 decimals).

Step-by-step explanation:

Given that X is binomial with n = 13 and p = 0.30

Pdf of x is

f(x) =

a) f(0) = P(x=0)

=0.00969

= 0.01

b) f(12) =

4.83(10^-6) ~0.00

c)

y=mx+b

step-by-step explanation:

m slope

b y-intercept

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: