Question

Suppose the number of cars in a household has a binomial distribution
with parameters n = 9, and p = 25 %.
Find the probability of a household having:
(a) 0 or 2 cars
(b) 0 or fewer cars
(c) 4 or more cars
(d) fewer than 2 cars

Answer 1

Use excel formula "=BINOM.DIST(x, n, p, FALSE)"

x	Excel formula	P(X=x) [rounded to five decimal places]
0	=BINOM.DIST(0, 9, 0.25, FALSE)	0.07508
1	=BINOM.DIST(1, 9, 0.25, FALSE)	0.22525
2	=BINOM.DIST(2, 9, 0.25, FALSE)	0.30034
3	=BINOM.DIST(3, 9, 0.25, FALSE)	0.23360
4	=BINOM.DIST(4, 9, 0.25, FALSE)	0.11680

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