According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that thepercentage of left-handed people in the U.S. is 10%.The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be theproportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of p.(b) Find the standard deviation of p.(c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewerleft-handed people in the sample. Round your answer to four decimal places.

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Answered: (a) Find the mean of p. (b) Find the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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(a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P (p<0.1), which is the probability that there will be 10% or fewer left-handed people in the sample. Round your answer to four decimal places.