In February 2021, Pew Research asked 2,596 random US adults what gives them meaning in life. 17% of respondents said, "occupation andcareer. We know that the proportion of the sample who answer "occupation and career" will vary in repeated sampling. In repeated sampling, thesample proportion, p-hat, has an approximately normal distribution with mean 0.17 and standard deviation 0.007. Use this information to answerthe questions below. Show your work for each question and round all numeric answers to 3 decimal places.a) Find the probability that at least 0.175 of a random sample of 2,596 US adults respond "occupation and careerb) Find the probability that between 0.159 and 0.179 of a random sample of 2,596 US adults respond "occupation and careerc) What is the sample proportion that cuts off the lowest 10% all proportions for samples of size 2,596?**

It is given that Sample size n = 2596 Sample proportion follows N(mean = 0.17 and SD = 0.007), then…

Answered: a) Find the probability that at least…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Overall about 14% of students who take the SAT's are coached, meaning they get help so they may do better on the exam. Suppose we take a random sample of 300 students and compute the proportion in the sample who are coached. A) What is the population & sample size? B) Within what interval will the sample proportion fall 95% of the time? ( show work)
According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.78.Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below.
• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?
3. From a box containing four 10-peso coins and two 5-peso coins, 3 coins are selected at random without replacement. Determine the cumulative distribution function of the random variable representing the number of 10-peso coins. I
40. For a two-tailed test, the p-value is: A) the area under the curve between the mean and the observed value of the sample statistic B) twice the area under the curve between the mean and the observed value of the sample statistic C) the area in the tail under the curve on the side which the sample statistic lies D) twice the area in the tail under the curve on the side which the sample statistic lies
3) Below is the distribution of 80 graduates with their degree type and average grade. Find the probability that a randomly selected graduate has a B.S. degree, given that the graduate has a B average. ((please check images for accuracy, thank you!!!))
13. In a certain population, heights (in inches) are normally distributed with a = 67 and a = 3. Find the probability that a person selected at random has a height between 63 and 71 inches. Refer to Appendix A of the textboun. -
11)A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.03. If 315 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
3. Assume that the wait time to see your family doctor is uniformly distribution been 10 and 30 minutes. A. What's the probability you wait more than 20 minutes to see your family doctor? B. What's the probability you less than 15 minutes to see your family doctor? C. What's the probability you wait between 20 and 25 minutes?
The symbole - over x represents the populationof all possible sample means of size n. True or false

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