Question

The Smith family was one of the first to come to the U.S. They had 6...

The Smith family was one of the first to come to the U.S. They had 6 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Smith family had:

at least 5 girls

at most 3 girls

Homework Answers

Answer #1

Let p , Probability of having a girl child be 0.5(given).

Now , n = 6 , p = 0.5

Using Binomial distribution,

P(x = a) =

A) P (atleast 5 girls) = P( x 5 )

= P(x =5) + P(x =6)

= +

= 6*0.015625 + 0.015625

= 0.09375 + 0.015625

= 0.109375

Thus, there is 0.109 (approx) Probability that there will be atleast 5 girls.

B) P(atmost 3 girls) = P(x 3) = 1 - P( x 4)

= 1 - P(x=4) - P(x = 5) - P(x =6)

= 1 - P(x =4) - 0.109375

= 1 - - 0.109375

= 1 - 15*0.015625 - 0.109375

= 1 - 0.234375 - 0.109375

= 0.65625

Thus, there is 0.656 (approx) Probability that there is atmost 3 girls out of 6.

Please like the answer,Thanks!

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Smith family was one of the first to come to the U.S. They had 7...
The Smith family was one of the first to come to the U.S. They had 7 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Smith family had: at least 6 girls? at most 4 girls?
The Jones family was one of the first to come to the U.S. They had 6...
The Jones family was one of the first to come to the U.S. They had 6 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 3 girls? at most 5 girls?
The Wilson family was one of the first to come to the U.S. They had 9...
The Wilson family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had: at least 5 girls? at most 6 girls?
The Wilson family was one of the first to come to the U.S. They had 5...
The Wilson family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had: at least 3 girls? at most 3 girls?
The Wilson family was one of the first to come to the U.S. They had 4...
The Wilson family was one of the first to come to the U.S. They had 4 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had: at least 3 girls? at most 3 girls?
The Wilson family was one of the first to come to the U.S. They had 9...
The Wilson family was one of the first to come to the U.S. They had 9 children. Assuming that the probability of a child being a girl is .5, find the probability that the Wilson family had: at least 3 girls? at most 7 girls?
The Jones family was one of the first to come to the U.S. They had 5...
The Jones family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 2 girls? at most 2 girls?
The Jones family was one of the first to come to the U.S. They had 5...
The Jones family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had: at least 2 girls? at most 4 girls?
The Wilson family had 7 children. Assuming that the probability of a child being a girl...
The Wilson family had 7 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 2 girls? at most 6 girls?
The Wilson family had 8 children. Assuming that the probability of a child being a girl...
The Wilson family had 8 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wilson family had: at least 4 girls? at most 5 girls? round to 4 place decimal accuracy