Answer:
0.00064
0.049
0.185
0.234
Step-by-step explanation:
Using binomial distribution formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p = 0.65
1 - p = 1 - 0.65 = 0.35
n = 7
(A) None will be divorced?
P(x = 0) : 7C0 * 0.65^0 * 0.35^7
= 1 * 1 * 0.00064339296875
= 0.00064
(B) All will be divorced?
P(x = 7) : 7C7 * 0.65^7 * 0.35^0
1 * 0.04902227890625 * 1
= 0.049
(C) Exactly 6 will be divorced?
P(x = 6) : 7C6 * 0.65^6 * 0.35^1
7 * 0.075418890625 * 0.35
= 0.18477628203125
= 0.185
(D) At least 6 will be divorced?
P(x ≥ 6) = p(6) + p(7)
P(6) = 0.185
P(7) = 0.049
P(x ≥ 6) = 0.185 + 0.049 = 0.234
