Applied Probability and Statistics: Estimations, Confidence Intervals, and Distributions

Preview (2 of 4 Pages)

100%

Purchase to unlock

Applied Probability and Statistics: Estimations, Confidence Intervals, and Distributions - Page 1 preview image

Loading page ...

Applied Probability and Statistics: Estimations, Confidence Intervals, andDistributions1)According to a recent study, 1 in every 10 women has been a victim of domestic abuse atsome point in her life. Suppose we have randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at somepoint in her life. Find the probability that more than 22 of the women sampled have notbeen the victim of domestic abuse. (Hint: Does this satisfy the assumptions of a Binomialexperiment? Use theComplementRule to find the probability.)Here,•There are fixed number of independent trials (number of women)•There are two outcomes of every events (abused or not)•The probability of success (not abused) is fixed in trial to trialSo all conditions of Binomial distribution is fulfilled. Thus,X~Binomial(n=25,p=0.9)Required probability = P(X>22) = P(X=23)+P(X=24)+P(X=25)= 0.2659+0.1994+0.0718= 0.53712)A physical fitness association is including the mile run in its secondary-school fitnesstest. The time for this event for boys in secondary school is known to possess a normaldistribution with a mean of 450 seconds and a standard deviation of 40 seconds. Find theprobability that a randomly selected boy in secondary school can run the mile in less than358 seconds.Here, X~Normal(450,40)Required probability = P(X<358) =𝑃(𝑍<358−45040)= P(Z<-2.3)= 0.01073)You are interested in purchasing a new car. One of the many points you wish to consideris the resale value of the car after 5 years. Since you are particularly interested in a certainforeign sedan, you decide to estimate the resale value of this car with a 95% confidenceinterval. You manage to obtain data on 17 recently resold 5-year-old foreign sedans ofthe same model. These 17 cars were resold at an average price of $12,610 with a standard

Preview Mode

This document has 4 pages. Sign in to access the full document!

Report

Study Now!

Document Details

Related Documents

The Statistics of Inheritance

Estimation and Hypothesis Testing

Two-Sample Hypothesis Tests

Hypothesis Testing � Comparing Two Groups

SPSS Cumulative Assessment Instructions

Probability and Statistics Assignment

Inferential Statistics Week 2 Solution

Simple Regression Analysis

Applying Hypothesis Tests Discussion #8

Research Process and Terminology

Company

Explore

Study Tools