Question

the accompanying table describes results from groups of 8 births from 8 different sets of parents. the random variable x represents 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 6 girls in 8 births.
117 (type an integer or a decimal. do not round.)
b. find the probability of getting 6 or more girls in 8 births.
(type an integer or a decimal. do not round.)

Explanation:

Step1: Find the probability of exactly 6 girls

From the table, when \(x = 6\), \(P(x)=0.117\)

Step2: Find the probability of 6 or more girls

\(P(x\geq6)=P(x = 6)+P(x = 7)+P(x = 8)\)
\(P(x = 6)=0.117\), \(P(x = 7)=0.021\), \(P(x = 8)=0.004\)
\(P(x\geq6)=0.117 + 0.021+0.004\)
\(P(x\geq6)=0.142\)

Answer:

a. \(0.117\)
b. \(0.142\)