2. It is reported that 54% of college students take on debt to pay for their education.a) Suppose a random sample of 200 college students is asked if they have taken on debt topay for their education. Describe the sampling distribution of the proportion of collegestudents who have taken on debt to pay for their education.b) What is the probability that in a random sample of 200 college students less than 50%,have taken on debt to pay for their education?c) What is the probability that in a random sample of 200 college students between 50% and60% have taken on debt to pay for their education?

Given data: 54% of college students take on debt to pay for their education. I.e ; p = 0.54 Sample…

Answered: 2. It is reported that 54% of college…

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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It is estimated that 55% of the freshmen entering a particular college will graduate from that college in four years.a. For a random sample of 5 entering freshmen, what is the probability that exactly 3 will graduate in four years?b. For a random sample of 5 entering freshmen, what is the probability that a majority will graduate in four years?c. 80 entering freshmen are chosen at random. Find the mean and standard deviation of the proportion of these 80 that will graduate in four years.
c. What is the likelihood of selecting a sample with a mean of at least $139,000? Note: Round your value to 2 decimal places and final answer to 4 decimal places. Probability d. What is the likelihood of selecting a sample with a mean of more than $127,000? Note: Round your value to 2 decimal places and final answer to 4 decimal places. Probability e. Find the likelihood of selecting a sample with a mean of more than $127,000 but less than $139,000. Note: Round your z-value to 2 decimal places and final answer to 4 decimal places
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2.Suppose that 60% of middle school students in San Diego wear braces. A random sample of 250 San Diego middle school students is selected. a.What is the mean and standard deviation of the 250 samples students that will have braces? b.What is the probability that at most 190 students in the sample wear braces?
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1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
According to Quantcast analytics of Crossfits.com, 40% of Crossfitters have post-graduate degrees. Suppose we take a random sample of 60 crossfitters. a. Describe the sampling distribution of the sample proportion of Crossfitters who have post-graduate degrees for samples of size 60. b. Find the probability that at least half of the sample 60 Crossfitters have post-graduate degrees. c. Describe the sampling distribution of the sample proportion of Crossfitters who have post-graduate degrees for samples of size 100
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According to a PEW Research Center survey, the mean student loan at graduation is $25,000. Suppose that student loans are normally distributed with a standard deviation of $5,000. A graduate with a student loan is selected at random. Find the following probabilities. a) The loan is greater than $30,000. b) The loan is less than $22,500. c) The loan falls between $20,000 and $32,000.

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