Suppose that the probability of giving birth to a boy and the probability of giving birth to a girl are both 0.5. find the probability that in a family of seve children, the following occurs. (a) all seven children are boys (b) there are two girls and five boys (c) the youngest child is a girl. (d) the oldest child is a girt (a) the probability is (type an integer. or a simplified fraction)

a.0.0078125

b. 0.1640625

c. 0.0078125

d. 0.0078125

Step-by-step explanation:

To solve this question we can use the binomial probability function:

where

In this case case p=q

Then

(a)

(b)

(c)

(d)

(a), (c) and (d) are equal as a result of equal probability of giving birth to a boy or a girl. (b) is different because it takes into account the different orders that births can occur

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336