Question

In: Statistics and Probability

A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...

A nationwide award for high school students is given to outstanding students who are sophomores, juniors, or seniors (freshmen are not eligible). Of the award-winners, 60 percent are SENIORS, 24 percent JUNIORS, and 16 percent are SOPHOMORES.

Note: Your answers should be expressed as decimals rounded to three decimal places.

(a) Suppose we select award-winners one at a time and continue selecting until a SENIOR is selected. What is the probability that we will select exactly three award-winners?

(b) Suppose we select award-winners one at a time and continue selecting until a JUNIOR is selected. What is the probability that we will select at least three award-winners?

(c) Suppose we select award-winners one at a time continue selecting until a SOPHOMORE is selected. What is the probability that we will select 2 or fewer award-winners?

A measurement is normally distributed with μ=55μ=55 and σ=18σ=18. Round answers below to three decimal places.

(a) The mean of the sampling distribution of x¯x¯ for samples of size 36 is:

(b) The standard deviation of the sampling distribution of x¯x¯ for samples of size 36 is:

Solutions

Expert Solution

plzzz rate me my answer....

orchestra answered 1 year ago
Next > < Previous

Related Solutions

A nationwide award for high school students is given to outstanding students who are sophomores, juniors,...
A nationwide award for high school students is given to outstanding students who are sophomores, juniors, or seniors (freshmen are not eligible). Of the award-winners, 65 percent are SENIORS, 20 percent JUNIORS, and 15 percent are SOPHOMORES. Note: Your answers should be expressed as decimals rounded to three decimal places. (a) Suppose we select award-winners one at a time and continue selecting until a SENIOR is selected. What is the probability that we will select exactly three award-winners? (b) Suppose...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38% are Juniors, and 32% are...
2.In a high school, 16% are Freshmen, 14% are Sophomores, 38% are Juniors, and 32% are Seniors. Suppose 15 students are randomly selected. Find the probability that a) 4 are Freshmen, 5 are Sophomores, and the rest are neither Freshmen nor Sophomores (in any order) b) either exactly one is Senior and all the others are not Senior (in any order) or exactly one Freshman, one Sophomore, one Junior and all the others are Seniors ( in any order) Note:...
Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and...
Dartnose College has 4000 students. 30% are first-year students, 25% are sophomores, 25% are juniors, and 20% are seniors. 40% of the first-year students are women, 60% of the sophomores are women, 40% of the jumiors are women, and 60% of the seniors are women. Every student is in one and only one of these classes. 1. What is the probability that a randomly selected student will NOT be a junior? 2. What is the probability that a randomly selected...
How do California high school students compare to students nationwide in their college readiness, as measured...
How do California high school students compare to students nationwide in their college readiness, as measured by their SAT scores? The national average scores for the class of 2017 were 533 on Evidence-Based Reading and Writing and 527 on the math portion.† Suppose that 100 California students from the class of 2017 were randomly selected and their SAT scores were recorded in the following table. Evidence-Based Reading and Writing Math Sample Average 529 521 Sample Standard Deviation 96 99 (a)...
How do California high school students compare to students nationwide in their college readiness, as measured...
How do California high school students compare to students nationwide in their college readiness, as measured by their SAT scores? The national average scores for the class of 2017 were 533 on Evidence-Based Reading and Writing and 527 on the math portion.† Suppose that 100 California students from the class of 2017 were randomly selected and their SAT scores were recorded in the following table. Evidence-Based Reading and Writing Math Sample Average 529 522 Sample Standard Deviation 98 99 (a)...
2. Suppose a randomly chosen group of 150 high school juniors and seniors who took the...
2. Suppose a randomly chosen group of 150 high school juniors and seniors who took the SAT twice over a period of six months showed an average improvement on the second SAT of 25 points. The standard deviation of the difference in the scores between the first and second SAT was 20 points. a. What is the appropriate design for this situation? b. Set up an appropriate hypotheses to test the claim that the score on the second SAT is,...
In a certain high school, uniforms are optional. A study shows that high school students who...
In a certain high school, uniforms are optional. A study shows that high school students who wear uniforms have a lower grade average than students who don't wear uniforms. From this study, the school administration claims that they should not require the students to wear uniforms because that is the cause of the lowering grades. Another possible explanation is that students who wear uniforms are poorer than the students who don't wear uniforms and the economic situation of their parents...
The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who...
The College Board National Office recently reported that in 2011–2012, the 547,038 high school juniors who took the ACT achieved a mean score of 515 with a standard deviation of 129 on the mathematics portion of the test (http://media.collegeboard.com/digitalServices/pdf/research/2013/TotalGroup-2013.pdf). Assume these test scores are normally distributed. What is the probability that a high school junior who takes the test will score at least 590 on the mathematics portion of the test? If required, round your answer to four decimal places....
It is believed that the mean height of high school students who play basketball on the...
It is believed that the mean height of high school students who play basketball on the school team is 73 inches with a standard deviation of 1.8 inches. A random sample of 40 players is chosen. The sample mean was 71 inches, and the sample standard deviation was 1.5 years. Do the data support the claim that the mean height is less than 73 inches? The p-value is almost zero. State the null and alternative hypotheses and interpret the p-value....
The heights of a simple random sample of 400 male high school sophomores in a Midwestern...
The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured. The sample mean is = 66.2 inches. Suppose that the heights of male high school sophomores follow a Normal distribution with a standard deviation of σ = 4.1 inches. What is a 95% confidence interval for µ? A. (59.46, 72.94) B. (58.16, 74.24) C. (65.80, 66.60) D. (65.86, 66.54)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT