Question

In: Statistics and Probability

The Smith family was one of the first to come to the U.S. They had 9...

The Smith 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 Smith family had: at least 8 girls? at most 7 girls?

Expert Solution

Solution:

Given:

The Smith family was one of the first to come to the U.S. They had 9 children.

Thus Sample size = n = 9

p = the probability of a child being a girl = 0.5

thus q = 1 - p = 1 - 0.5 = 0.5

Part a) Find the probability that the Smith family had at least 8 girls.

That is find:

Here X = Number of girls follows a Binomial distribution with parameters n = 9 and p = 0.5

Thus using binomial probability distribution, we get:

where

Thus

and

Thus

Thus the probability that the Smith family had at least 8 girls is

Part b) Find the probability that the Smith family had at most 7 girls.

That is:

the probability that the Smith family had at most 7 girls is .

orchestra answered 3 years ago

[The information presented here applies to questions 7, 8 and 9.] The Smith family has borrowed...

[The information presented here applies to questions 7, 8 and 9.] The Smith family has borrowed $320,000 using a 5/1 ARM with an initial fully-indexed rate of 4.25% and paid no points at origination. The fully-indexed rate is determined by the yield on the LIBOR index plus a margin of 250 basis points. 7. What was the yield on the LIBOR index at the time when the Smith family purchased their house? 8. What is the balance remaining of their...

Smith Family Assume the Smith family of Philadelphia, Pennslyvania purchased their home in 2002 for $80,000. Since...

Smith Family Assume the Smith family of Philadelphia, Pennslyvania purchased their home in 2002 for $80,000. Since then, comparable homes in their neighborhood have most recently sold for $200,000. The cost to replace the home would be $180,000. It is estimated that the house is one-third depreciated. The Smith’s have a $175,000 (face amount coverage A) Homeowners policy in force, similar to the policy shown in the Appendix. Answer the following questions as if each question were a separate event. 1) How much will the Smith’s collect...

Mission verse Margin Reflection Exercise - Family The Smith family lives in California, riverside. Mr. Smith...

Mission verse Margin Reflection Exercise - Family The Smith family lives in California, riverside. Mr. Smith work in a factory producing widgets that are used and bought by automobile manufacturing. His factory job pays and annual salary of $31,000 per year, with overtime when available, he makes up to an additional $8,000. The mother is a stay at home mother raising five children, ages of 6 months, 2 years, 3 years, 4 years, and 6 years of age. Mr. Smith...

The Wilson family had 9 children. Assuming that the probability of a child being a girl...

The Wilson family had 9 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 3 girls? Round your answers to 4 decimal places.

In 2017, the first baby was born in the U.S. to a mother who had received...

In 2017, the first baby was born in the U.S. to a mother who had received a uterus transplant, meaning a uterus donated by another human female was implanted into the mother and this a transplanted uterus was the site of implantation, and development of the fetus to term. Obviously, this type of medical procedure is not without challenges and risks. Briefly describe three possible challenges of uterus transplantation (anywhere from initial surgery to childbirth) - one challenge must relate...

The Smith family lives in Scranton, PA. Mr. Smith work in a factory producing widgets that...

The Smith family lives in Scranton, PA. Mr. Smith work in a factory producing widgets that are used and bought by automobile manufacturing. His factory job pays and annual salary of $31,000 per year, with overtime when available, he makes up to an additional $8,000. The mother is a stay at home mother raising five children, ages of 6 months, 2 years, 3 years, 4 years, and 6 years of age.Mr. Smith was recently laid off. Because of the severance...

The Smith family is determined to purchase a $250,000 home without incurring any debt. The family...

The Smith family is determined to purchase a $250,000 home without incurring any debt. The family plans to save $2,500 a quarter for this purpose and expects to earn 6.65 percent, compounded quarterly. How long will it be until the family can purchase a home?

Natalie will be one of the first in her family to earn a college degree. She...

Natalie will be one of the first in her family to earn a college degree. She is determined to earn her bachelor’s degree in psychology and then possibly go on to a master’s degree, or even a doctorate. However, these dreams need to deal with reality. She has two children to raise on her own, and has to stay active with work as well as her children’s lives. She is proud of her accomplishments and hopes that her children will...

Where did your family values come from?

Smith, a U.S. citizen, has been working as an executive of a telecommunication company in U.S.,...

Smith, a U.S. citizen, has been working as an executive of a telecommunication company in U.S., and her annual salary in 2014 was US$150,000. Her salary was expected to remain unchanged if she continued to work in the company. At the end of the year 2014, however, she was recruited by a media company in Brazil, so she started working in Brazil from January 2015, making an annual salary of US$210,000. Assuming that the amount of her salary equals the...