An unbalanced six-side die is rolled once and the number on the top of the die is observed.Suppose that probability to get number 1 is twice as large to get number 2, and probabilityto get each of numbers 3, 4, 5, and 6 is 0.1.Let A be the event "the number obtained on the top of the die is odd (1 or 3 or 5)"Let B be the event "the number obtained on the top of the die is smaller than 5(1 or 2 or 3 or 4)"a. The probability of event A isb. The probability of event B is

Given An unbalanced die.The probability to get number 1 is twice of getting number 2.All the…

Answered: An unbalanced six-side die is rolled…

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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Suppose that there is a white urn containing three white balls and one red ball and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability that Mary will mow the lawn, on a day that begins with "T"?
Suppose you have an unusual die with four faces marked 1 and two marked 2. You roll it 20 times. (Round to four decimal places.) What is the probability that you get 14 ones? 14 twos? What is the probability that you get 8 ones? 8 twos?
Suppose that you select a random sample of 200 pharmaceutical corporate managers and a study showed that the proportion held by women is 0.15, What is the probability that in the sample less than 15% of the corporate managers will be women? What is the probability that in the sample between 13% and 17% of the corporate managers will be women? What is the probability that in the sample between 10% and 20% of the corporate managers will be women? If a sample of 100 is taken, how does this change your answers to (a) through (c)?
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials?
Suppose it is known that 5% of men age 50 and older I have prostate cancer. And a random sample of 25 men age 50 and older what is the probability that exactly to have prostate cancer?
A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% is called a false positive) let A be the event “the person is infected” and B be the event “the person tests positive” A) find the probability that a person has the virus given that they have tested positive, i.e find P(A|B). Round answer to 4 decimal places. P(A|B) = B) Find the probability that a person does not have the virus given that they test negative, i.e find P(A^c|B^c) =
A certain virus infects 1 in every 400. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 8% of the time if the person does not have the virus. This 8% result is called a false positive Let A be the event " the person is infected" and B be the event "the person test positive " A. Find the probability that a person has a virus given that they have tested positive,I.e P(A/B) round answer to the nearest tenth of a percent B. Find the probability that a person does not have the virus given that they test negative. I.E, find (A/B) round to the nearest tenth of a percent
A pathogen affects 1 person out of every 100 people. Suppose you come into contact with 40 randomly selected people in one day? 1. What is the probability that at least one of these 40 people is infected? 2. What is the probability that at least 2 out of the 40 randomly selected people are affected?
Suppose 30% of Americans are satisfied with the state of the U.S. In a sample of 20 Americans, what is the probability that at most 1 person is satisfied with the state of the U.S.?

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