Students Who Major in Business It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a related field. A random sample of 400 incoming college freshmen were asked their preference, and 92 replied that they were considering business as a major. Estimate the true proportion of freshman business majors with 98% confidence. Round intermediate calculations to three decimal places and final answers to one decimal place. %

Students Who Major in Business It has been reported that 20.4% of incoming freshmen indicate that they will major in business or a related field. A random sample of 400 incoming college freshmen were asked their preference, and 92 replied that they were considering business as a major. Estimate the true proportion of freshman business majors with 98% confidence. Round intermediate calculations to three decimal places and final answers to one decimal place. %

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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K During routine screening, a doctor notices that 22% of her adult patients show higher than normal levels of glucose in their blood-a possible warning signal for diabetes. Hearing this, some medical researchers decide to conduct a large-scale study, hoping to estimate the proportion to within 3% with 98% confidence. How many randomly selected adults must they test? The number of adults that should be tested is (Round up to the nearest whole number.)
Answer the B question
Home Internet Access In a recent year, a study found that 75% of adults ages 18–29 had internet access at home. A researcher wanted to estimate the proportion of undergraduate college students (18–29 years) with access, so she randomly sampled 189 undergraduates and found that 164 had access. Estimate the true proportion with 90% confidence. Round intermediate answers to five decimal places. Round your final answer to one decimal place.
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p value?
#2, Suppose that X and Y have joint density given by: f (x, y) = 15x²y, 0 < x < y < 1. (a) Find the marginal pdf of Y. (b) Find the conditional pdf of X given Y. (c) Find the conditional expectation of X given Y = 1/3. (d) Are X andY independent? Show this in two different ways. (e) Give an integral expression for P(X + 2Y < 1), but do not evaluate it.
Please see the attached photo
need help with part d and e