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

Answer 1

Using the discrete probability outputs given in the attached table ; the probability values of having exactly 6 ; and  having 6 or more  girls are :

• P(X = 6) = 0.111

• P(X ≥ 6) = 0.1

The probability of having exactly 6 girls can be defined as :

• P(X = 6) = 0.111 (from the discrete probability table)

2.)

The probability of having 6 or more girls can be defined as :

• P(X ≥ 6) =  P(X = 6) + P(X = 7) + P(X = 8)

• From the table attached :

• P(X ≥ 6) = 0.111 + 0.014 + 0.003 = 0.1

Therefore, the probability of having exactly 6 girls is 0.111 while the probability of having 6 or more girls is 0.1

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