Suppose the number of children in a household has a binomial distribution with parameters n=25 and p=15%.

Find the probability of a household having:

(a) 1 or 24 children  
(b) 22 or fewer children  
(c) 12 or more children  
(d) fewer than 24 children  
(e) more than 22 children

43​% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.

Suppose the number of cars in a household has a binomial distribution with parameters n = 20, and p = 55 %. Find the probability of a household having

(a) 10 or 13 cars
(b) 11 or fewer cars
(c) 16 or more cars
(d) fewer than 13 cars
(e) more than 11 cars

An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?

Suppose the number of children in a household has a binomial distribution
with parameters n = 16, and p = 80 %.
Find the probability of a household having:
(a) 6 or 15 children
(b) 13 or fewer children
(c) 10 or more children
(d) fewer than 15 children
(e) more than 13 children

Suppose the number of children in a household has a binomial distribution with parameters n=7 and p=35%. Find the probability of a household having:

(a) 2 or 4 children

(b) 2 or fewer children

(c) 2 or more children

(d) fewer than 4 children

(e) more than 2 children

It has been estimated that only about 40% (p = 0.4) of California residents have adequate earthquake supplies. Suppose you randomly survey 50 California residents. We are interested in the number who have adequate earthquake supplies. What is the probability that exactly 30 residents will have the needed supplies?

An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?

Suppose the number of cars in a household has a binomial distribution with parameters n=15 and p=55%.

Find the probability of a household having:

(a) 9 or 11 cars

(b) 9 or fewer cars

(c) 9 or more cars

(d) fewer than 11 cars

(e) more than 9 cars

Suppose the number of radios in a household has a binomial distribution with parameters n=19 and p=15%. Find the probability of a household having:

(a) 4 or 18 radios

(b) 16 or fewer radios

(c) 14 or more radios

(d) fewer than 18 radios

(e) more than 16 radios