Question

the accompanying table describes results from groups of 8 births from 8 different sets of parents. the random variable is the number of girls among 8 children. complete parts (a) through (d) below. click the icon to view the table. a. find the probability of getting exactly 1 girl in 8 births. 0.019 (type an integer or a decimal. do not round.) b. find the probability of getting 1 or fewer girls in 8 births. (type an integer or a decimal. do not round.) probability distribution for x - number of girls x p(x) 0 0.004 1 0.019 2 0.100 3 0.221 4 0.294 5 0.221 6 0.100 7 0.019 8 0.004

Explanation:

Step1: Identify relevant probabilities

We want probability of 1 or fewer girls. It means probability of 0 girls plus probability of 1 girl. From table, $P(0) = 0.004$ and $P(1)=0.019$.

Step2: Calculate total probability

Use addition rule for mutually - exclusive events. $P(X\leq1)=P(0)+P(1)$.
$P(X\leq1)=0.004 + 0.019$

Answer:

$0.023$