Exam 58: Probability

The educational attainment of a country population age 25 years or older in 2007 is shown in the circle graph.Use the fact that the population of people 25 years or older was approximately 243.32 million in 2007.Estimate the number of people 25 years or older who have advanced degrees.Round your anser to two decimal places.​ ​

You are given the probability that an event will happen.Find the probability that the event will not happen.​ $P ( E ) =$ $\frac { 17 } { 20 }$ ​

In a high school graduating class of 128 students,52 are on the honor roll.Of these,45 are going on to college;of the other 76 students,53 are going on to college.A student is selected at random from the class.What is the probability that the person chosen is going to college. ​

The educational attainment of a country population age 25 years or older in 2007 is shown in the circle graph.Use the fact that the population of people 25 years or older was approximately 6.3 million in 2007 and let $a = 6.3 \%$ , $b = 20.5 \%$ , $c = 11.6 \%$ and $d = 13.3 \%$ .Find the probability that a person 25 years or older selected at random has earned a Bachelor's degree or higher.​ ​

You are given the probability that an event will not happen.Find the probability that the event will happen. $P ( E ) = \frac { 4 } { 15 }$

The figure shows the results of a survey in which auto racing fans listed their favorite type of racing.What is the probability that an auto racing fan selected at random does not list NHRA drag racing as his or her favorite type of racing? ( $a = 55 \%$ , $b = 15 \%$ , $c = 13 \%$ , $d = 6 \%$ )​ ​

The educational attainment of a country population age 25 years or older in 2007 is shown in the circle graph.Use the fact that the population of people 25 years or older was approximately 8.1 million in 2007 and let $a = 8.1 \%$ , $b = 17.8 \%$ , $c = 9.8 \%$ and $d = 16 \%$ .Find the probability that a person 25 years or older selected at random has earned an Associate's degree or higher.

117 college students were interviewed to determine their political party affiliations and whether they favored a balanced-budget amendment to the Constitution.The results of the study are listed in the table,where D represents Democrat and R represents Republican. Favor Not favor Unsure Total 23 30 7 60 39 13 5 57 Total 62 43 12 117 A person is selected at random from the sample.Find the probability that the described person is selected.A Republican.Round your answer to one decimal place. ​

​Find the probability for the experiment of drawing two marbles (without replacement)from a bag containing two green,five yellow,and three red marbles such that the marbles are different colors.

Determine the sample space for the experiment. ​ A six-sided die is tossed twice and the sum of the results is recorded. ​

You are given the probability that an event will happen.Find the probability that the event will not happen. $P ( E ) = 0.8$

Find the probability for the experiment of drawing two marbles (without replacement)from a bag containing three green,five yellow,and two red marbles such that the marbles are different colors.

In a sample of 20 hand-held calculators,15 are known to be nonfunctional.If 7 of these calculators are selected at random,what is the probability that exactly 5 in the selection are nonfunctional? Round to the nearest thousandth.

A college sent a survey to a sample of juniors.Of the 620 students surveyed,307 live on campus,of whom 139 have a GPA of 2.5 or greater.The other 313 juniors live off-campus,of whom 153 have a GPA of 2.5 or greater.What is the probability that a survey participant chosen at random has a GPA less than 2.5?

The figure shows the results of a survey in which auto racing fans listed their favorite type of racing.What is the probability that an auto racing fan selected at random lists Formula One $d = 8 \%$ or motorcycle racing $c = 10 \%$ as his or her favorite type of racing? ( $a = 53 \%$ , $b = 18 \%$ )​ ​

A college sent a survey to a sample of juniors.Of the 512 students surveyed,279 live on campus,of whom 110 have a GPA of 2.5 or greater.The other 233 juniors live off-campus,of whom 85 have a GPA of 2.5 or greater.What is the probability that a survey participant chosen at random lives on campus and has a GPA of 2.5 or greater?

You are given the probability that an event will happen.Find the probability that the event will not happen.​ $P ( E ) = 0.18$ ​

Find the probability for the experiment of tossing a six-sided die twice such that the sum is either 7 or 11. ​

Determine the sample space for the experiment. ​ Two prize winners are selected from six people: A,B,C,D,E,and F. ​

Find the probability for the experiment of selecting one card from a standard deck of 52 playing cards such that the card is a 10 or higher (aces are low).