Blog

Find the specified probability.Use the special addition rule and the following probability distribution to determine P(6 < X ≤ 8). x 5 6 7 8 9 10 11 P(X = x) 0.05 0.05 0.20 0.15 0.15 0.10 0.30

Provide an appropriate response.Which score has a higher relative position, a score of 67.2 on a test with a mean of 60 and , or a score of 249.6 on a test with a mean of and a a standard deviation of 24? (Assume that the distributions being compared have approximately the same shape.)

Find the indicated probability by using the general addition rule.Of the 91 people who answered “yes” to a question, 5 were male. Of the 81 people who answered “no” to the question, 13 were male. If one person is selected at random from the group, what is the probability that the person answered “yes” or was male?

Find the indicated probability by using the complementation rule.The age distribution of students at a community college is given below. Age (years)Number of students (f) 1456A student from the community college is selected at random. Find the probability that the student is 21 years or over. Give your answer as a decimal rounded to three decimal places.

Determine whether the events are independent.An auto insurance company was interested in investigating accident rates for drivers in different age groups. The following contingency table was based on a random sample of drivers andclassifies drivers by age group and number of accidents in the past three years.Suppose that one of the drivers is selected at random. According to these data, are the events independent?

Find the indicated probability.A study conducted at a certain college shows that 57% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that among 7 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Provide an appropriate response.For which of the following sets of data points can you reasonably determine a regression line? 1) 2) ​ ​ 3) 4) ​  

Provide an appropriate response.A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows.The are used to represent the probabilities in the different cells so, for example, the represents and the represents True or false, is equal this can be interpreted as follows: 24% of the people who voted in this election were women who voted Republican?

Use the regression equation to predict the y-value corresponding to the given x-value. Round your answer to the nearest tenth.The regression equation relating dexterity scores (x) and productivity scores (y) for ten randomly selected employees of a company is . Predict the productivity score for an employee whose dexterity score is 21.

Use the appropriate multiplication rule to find the indicated probability.An IRS auditor randomly selects 3 tax returns from 41 returns of which 11 contain errors. What is the probability that she selects none of those containing errors?