the accompanying table describes results from groups of 8 births from 8 different sets of parents. the…

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 b below.\n\na. find the probability of getting exactly 6 girls in 8 births\n0.118 (type an integer or a decimal. do not round.)\n\nb. find the probability of getting 6 or more girls in 8 births\n(type an integer or a decimal. do not round.)\n\nprobability distribution for x\n| number of girls x | p(x) |\n| ---- | ---- |\n| 0 | 0.003 |\n| 1 | 0.013 |\n| 2 | 0.118 |\n| 3 | 0.243 |\n| 4 | 0.246 |\n| 5 | 0.243 |\n| 6 | 0.118 |\n| 7 | 0.013 |\n| 8 | 0.003 |

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 b below.\n\na. find the probability of getting exactly 6 girls in 8 births\n0.118 (type an integer or a decimal. do not round.)\n\nb. find the probability of getting 6 or more girls in 8 births\n(type an integer or a decimal. do not round.)\n\nprobability distribution for x\n| number of girls x | p(x) |\n| ---- | ---- |\n| 0 | 0.003 |\n| 1 | 0.013 |\n| 2 | 0.118 |\n| 3 | 0.243 |\n| 4 | 0.246 |\n| 5 | 0.243 |\n| 6 | 0.118 |\n| 7 | 0.013 |\n| 8 | 0.003 |

Answer

Explanation:

Step1: Identify relevant probabilities

We want to find $P(x\geq5)$ which is $P(x = 5)+P(x = 6)+P(x = 7)+P(x = 8)$. From the probability - distribution table, $P(x = 5)=0.243$, $P(x = 6)=0.118$, $P(x = 7)=0.013$, $P(x = 8)=0.003$.

Step2: Calculate the sum

$P(x\geq5)=0.243 + 0.118+0.013 + 0.003$. $P(x\geq5)=0.377$

Answer:

$0.377$