Some employers use lie detector tests to screen job applicants. Lie detector tests are not completely reliable. Suppose that in a lie detector​ test, 65% of lies are identified as lies and that​ 14% of true statements are also identified as lies. A company gives its job applicants a polygraph​ test, asking​ "Did you tell the truth on your job​ application?" Suppose that​ 93% of the job applicants tell the truth during the polygraph test. What is the probability that a person whose test identified their answer as a lie was actually telling the​ truth? Round to three decimal places as needed.   A. 0.140   B. 0.259   C. 0.741   D. 0.349

A polygraph (lie detector) is an instrument used to determine if the individual is telling the truth. These tests are considered to be 84% reliable. In other words, if an individual lies, there is a 0.84 probability that the test will detect a lie. Let there also be a 0.020 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, “the individual is telling the truth,” to answer the following questions. a. What is the probability of Type I error? b. What is the probability of Type II error?

In the 2017 Seattle mayoral election, Ed Murray received 53.0% of the votes, Mike McGinn received 46.5% of the votes, and write-in candidates received the rest of the votes. Suppose we examine votes from randomly chosen people who voted in this election.   What is the probability that the first vote we examine is for Mike McGinn or for a write-in candidate?   Suppose we examine four randomly chosen votes. What is the probability that all four of the votes are for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that none of the votes we examine is for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that at least one of the votes we examine is for Ed Murray?

Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual?  No, this probability is not unusual because it is more than 0.05.  Yes, this probability is unusual because it is more than 0.05.  No, this probability is not unusual because it is within 2 standard deviations of the mean.  Yes, this probability is unusual because it is not within 2 standard deviations of the mean.  No, this probability is not unusual because it is more than 0.01.

The probability that a person will make 0, 1, 2, or 3 errors on his income tax is .5, .3, .15 and .05 respectively.  If 30 are filed, what is the probability 15 will contain no errors, 8 will have one error, 5 will have two errors and 2 will have three errors?

What is the probability that you will a number less than 10 when rolling a fair six sided dice?

In 2014, the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only? At least one-third? What is the probability that at least 9 do not speak English in the home?

A literature professor gave a 7-question true false quiz to determine who has read an assigned novel. One student did not read the novel, and guessed all the answers randomly. What is the probability that he/she got at least three answers correct?