BUSI 230 HW 5.1 Basic Concepts of Probability Assignment solutions complete answers

BUSI 230 HW 5.1 Basic Concepts of Probability Assignment solutions complete answers 

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If an event cannot occur, its probability is .

If an event is certain to occur, its probability is .

The collection of all possible outcomes of a probability experiment is called .

An outcome or collection of outcomes from a sample space is called .

 

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(2). Express your answer in exact form.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(0). Express your answer in exact form.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(7). Express your answer in exact form.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(Odd number). Express your answer in exact form.

 

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(less than 5). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 0). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 1). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 2). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 3). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 4). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 5). Write your answer as a fraction or whole number.

Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(greater than 7). Write your answer as a fraction or whole number.

 

Assume that a coin is tossed twice. The coin may not be fair. The sample space consists of the outcomes {HH, HT, TH, TT}.

 

How probable is it? Someone computes the probabilities of several events. The probabilities are listed below. Select the best verbal description for each probability.

 

Who will you vote for? In a survey of 500 likely voters in a certain city, 290 said that they planned to vote to reelect the incumbent mayor.

(a) What is the probability that a surveyed voter plans to vote to reelect the mayor? Express your answer as a decimal rounded to two decimal places.

The probability that a surveyed voter plans to vote to reelect the mayor is

(b) Interpret this probability by estimating the percentage of all voters in the city who plan to vote to reelect the mayor.

The estimated percentage of all voters in the city who plan to vote to reelect the mayor is

 

True–false exam: A section of an exam contains four true–false questions. A completed exam paper is selected at random, and the four answers are recorded. Round your answers to four decimal places if necessary.

Assuming the outcomes to be equally likely, find the probability that all the answers are "False."

The probablility that all the answers are "False" is

Assuming the outcomes to be equally likely, find the probability that exactly three of the four answers is "True."

Assuming the outcomes to be equally likely, find the probability that two of the answers are "True" and two of the answers are "False."

Assuming the outcomes to be equally likely, find the probability that all the answers are the same.

Assuming the outcomes to be equally likely, find the probability that exactly three of the four answers is "False."

Assuming the outcomes to be equally likely, find the probability that the first answer is "False."

Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "True."

Assuming the outcomes to be equally likely, find the probability that the last answer is "False."

Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "False."

Assuming the outcomes to be equally likely, find the probability that all the answers are "True."

 

Empirical Method: A die is rolled 300 times. On 25 of those rolls, the die comes up 5. Use the Empirical method to approximate the probability that the die comes up 5. Round your answer to four decimal places as necessary.

The probability that the die comes up  is approximately .

 

More pitching: A baseball pitcher threw 3148 pitches during part of a recent season. Of these, 1611 were thrown with no strikes on the batter, 976 were thrown with one strike, and 561 were thrown with two strikes.

(a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places.

(b) What is the probability that a baseball pitch is thrown with fewer than two strikes? Round your answer to four decimal places.

 

Get an education: A survey asked 32,180 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary.

(a) What is the probability that a sampled person has either some or hardly any confidence in educational institutions?

The probability that a sampled person has either some or hardly any confidence in educational institutions is

(b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has hardly any confidence in educational institutions.

(c) If we use a cutoff of 0.05, is it unusual for someone to have some confidence in educational institutions?

(a) What is the probability that a sampled person has either a great deal or some confidence in educational institutions?

(b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has a great deal of confidence in educational institutions.

(c) If we use a cutoff of 0.05, is it unusual for someone to have a great deal of confidence in educational institutions?

(a) What is the probability that a sampled person has either a great deal or hardly any confidence in educational institutions?

(b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has some confidence in educational institutions.

(c) If we use a cutoff of 0.05, is it unusual for someone to have a great deal of confidence in educational institutions?