Human papillomavirus (HPV) infection is perhaps the most common STI in the United States and certain types of HPV cause cervical, anal, penile, and throat cancers. Vaccine against certain HPV types are now available and recommended for adolescent boys and girls. Discuss the concerns regarding the vaccine that have contributed to low uptake of HPV vaccine among U.S. adolescents?

A family has four children, of age 3, 6, and 16 and 16 . Let’s assume that the probability of giving birth to a boy is the same as the probability of giving birth to a girl. Determine the following probabilities:

(a) that all 4 children are girls

(b) that at least two of the children are boys

(c) that the oldest child is a girl

(d) that only three children are of the same gender

(e) Given that you know that at least one child is a girl, what is the probability that the other three children are boys? TIP: This is a conditional probability question, where we are asking for P(BBB|G), where B and G stand for boy and girl, respectively.

1.A hospital spokesperson reported that 4 births had taken place at the RG Hospital during the last 24 hours. Find the following probabilities:

a.P(A) = that 2 boys and 2 girls are born.

b.P(B) = no boys are born.

c.P(C) = at least one boy is born.

2.The odds that a team will win in the finals is 4:3. What is their chance of winning?

3.The probability that a patient entering RG Hospital will consult a physician is 0.7, that he/she will consult a dentist is 0.5 and that he/she will consult a physician or a dentist or both is 0.9. What is the probability that a patient entering the hospital will consult both a physician and a dentist?

In this activity, you will determine the probability of obtaining one of these disproportionate ratios if we assume that nature alone is responsible for these obscure results. In order to determine these probabilities, you will use the Normal approximation to the binomial.

1. Outline the binomial model for the number of boy births in the next 1000 births assuming that births are produced according to the natural ratio of 51.2% chance of a boy.

2. Outline the Normal approximation to the binomial by determining if this binomial distribution satisfies the conditions for the Normal approximation. Furthermore, determine the mean and standard deviation.

3. Next, determine the probability of getting an obscure ratio or worse. That is:

(a) What is the probability of having 33% boys or less? (in 1000 births, 330 would be male)

(b) What is the probability of having 41% boys or less? (in 1000 births, 410 would be male)

(c) What is the probability of having 1200 boys for every 1000 girls or 54.5% boys? (in 1000 births, 545 would be male)

4. Interpret these results in the context of the problem.

5. Comment on the moral and ethical implications of these results.

Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50.

(a) What is the sample space for the gender outcomes?

{bb, bg, gg}

{b,g}    

{bb, bg, gb, gg}

{bb, gg}

(b) What is the probability that the couple has one boy and one girl?

(c) What is the probability that the couple will have at least one girl?

(d) What is the probability that the couple will have no girls?

A) The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. What is the probability that a randomly selected can will contain between 82 and 100 grams of tea leaves?

B) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. The fitness association wants to recognize the boys whose times are among the top (or fastest) 10% with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association? Round to one decimal place.

The Town of Brown has the following financial transactions:

1. The town council adopts an annual budget for the general fund estimating general revenues of $2.0 million, approved expenditures of $1.6 million, approved transfers pf $150,000.

2. The town levies property taxes of $1.5 million. It expects to collect all but 4% of these taxes during the year. Of the levied amount, $50,000 will be collected next year but after more than 60 days.

3. The town orders three new police cars at an approximate cost of $120,000.

4. A transfer of $60,000 is made from the general fund to the debt service fund.

5. The town makes a payment on a bond payable of $50,000 along with $15,000 of interest using the money previously set aside.

6. The Town of Brown issues a $3 million bond at face value in hopes of acquiring a building to convert into a high school.

7. The two police cars are received with an invoice price of $115,000. The voucher has been approved and will not be paid for three weeks.

8. The town purchases the building for the high school for $2.5 million in cash and immediately begins renovating it.

9. Depreciation on the new police cars is computed at $35,000 for the period.

10. The town borrows $120,000 on a 30-day-tax anticipation note.

11. The Town of Brown begins a special assessment curbing project. The government issues $900,000 in notes at face value to finance this project. The town has guaranteed the debt if the assessments collected do not cover the entire balance.

12. A contractor completes the curbing project and is paid $900,000 as agreed.

13. The town assesses citizens $900,000 for the completed curbing project.

14. The town collects the special assessments of $900,000 in full and repays the debt plus $40,000 in interest.

15. The town receives a $20,000 cash grant from a regional charity to beautify a local park. The grant must be used to cover the specific costs that the town incurs.

16. The town spends the first $5,000 to beautify the park.

Question 1. – Please prepare journal entries for the town based on the production of fund financial statements.

Question 2 – Please prepare journal entries in anticipation of preparing government-wide financial statements.

Soccer. An Asahi News Twitter poll of 1240 teens conducted in 2017 found that girls were more likely than boys to play soccer, by 77% compared to 65% for boys. An equal number of boys and girls were surveyed. Give a 95% confidence interval for the difference in soccer playing by gender.

Which method is this?

a) Define the population parameter in this context.

b) Are these quantitative or categorical data?

c) Do these data satisfy the necessary conditions? Explain each condition. Show me the numbers.

(independence can be skipped)

d) Make an 95% confidence interval and write a sentence interpreting it. You are to write the formula from the cheat sheet, and note each variable in that formula and show work to solve for that variable, including the SE. Then plug in those values to the equation and solve for the CI. Start from left to right as you read the formula so that there is order/consistency to how you do each problem.

e) What would you conclude about the gender of soccer players according to the Asahi News Twitter poll

Now confirm your findings with an appropriate hypothesis test.

1) Find or confirm SE:

2) Find the critical value for alpha:                                                      Sketch

3) Find the test statistic:

4) Find the P-value:

5) Conclusion, and what can you say about the soccer playing by gender?

A study was performed to examine the personal goals of children in grades 4, 5, and 6. A random sample of students was selected from each of the grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Results are presented by the gender of the child in the table below:

a) What would be the null hypothesis for a chi-square test based on these data?

b) What is the value of the chi-square statistic based on the data presented in this table?

c) Are the data statistically significant at the 5% significance level?

Could I please get details step solutions please. I have no clue how to do it. Thank you.