Show your work please Work on problem number 5 ae on page 61

Show your work please.

Work on problem number 5 (a-e) on page 6-17

Solution

a)
P(X=1 | n=10 , p=0.4) = 10C1 * ( 0.4)^1 * (1-0.4)^9 = 0.04 Answer

b)
P(X=2 | n=10 , p=0.7) = 10C2 * ( 0.7)^2 * (1-0.7)^8 = 0.0014 Answer

c)
P(X<=16 | n=50 , p=0.5) = 50C0 * (0.5)^0*(1-0.5)^50 + .......... + 50C16 * (0.5)^16*(1-0.5)^34 = 0.0077 Answer

d)
P(X<5 | n=10 , p=0.6) = 10C0 * (0.6)^0*(1-0.6)^10 + .......... + 10C4 * (0.6)^4*(1-0.6)^6 = 0.1662 Answer

e)
P(X>=8 | n=50 , p=0.8) = 50C8 * (0.8)^8*(1-0.8)^42 + .......... + 50C50 * (0.8)^50*(1-0.8)^0 = 1 Answer