Question

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 3 girls? at most 3 girls? Round your answers to 4 decimal places.

Answer #1

Given that, the Wilson family had 8 children. Assuming that the probabilitiy of a child being a girl is 0.5.

Let X be a number of girls among 8 children.

Here, X ~ Binomial (n = 8, p = 0.5)

a) We want to find, P(X ≥ 3)

P(X ≥ 3)

= 1 - P(X ≤ 2)

= 1 - [ P(X = 0) + P(X = 1) + P(X = 2) ]

= 1 - [ 0.0039 + 0.0312 + 0.1094 ]

= 1 - 0.1445

= 0.8555

Therefore, the probabilitiy that the Wilson family had at least
3 girls is **0.8555**

b) We want to find, P(X ≤ 3)

(X ≤ 3)

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= 0.0039 + 0.0312 + 0.1094 + 0.2188

= 0.3633

Therefore, the probabilitiy that the Wilson family had at most 3
girls is **0.3633**

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

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 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 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 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 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?

1. About 5% of the population has a particular genetic mutation.
179 people are randomly selected.
Find the mean for the number of people with the genetic mutation in
such groups of 179.
Find the standard deviation for the number of people with the
genetic mutation in such groups of 179. (Round to the nearest 2
decimal places.)
2. The Wilson family had 8 children. Assuming that the
probability of a child being a girl is 0.5, find the probability...

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 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

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 11 minutes ago

asked 16 minutes ago

asked 16 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 47 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago