Finite Math Final Exam

Use De​ Morgan's laws to negate the statement ​(tilde r~rlogical or∨tilde q~q​)logical or∨pp without using parentheses.

(~r\/q)\/p _________ r/\q/\~p

A​ multiple-choice test consists of 5 questions with each question having 5 possible answers.

5to the 5th power

Color blindness is a​ sex-linked, inherited condition that is much more common among men than women. Suppose that 5​% of all men and 0.8​% of all women are​ color-blind. A person is chosen at random and found to be​ color-blind. What is the probability that the person is​ male? (You may assume that​ 50% of the population are men and​ 50% are​ women.)

.05*.5=man .008&.5=woman a+b=answer man/answer=

59 percent of the students at a certain college are female. 7 percent of the female students are majoring in the health sciences. What is the probability that a randomly selected student is a female majoring in the health​ sciences?

.59*.07

Find the value of z for which the area of the shaded region under the standard normal curve is 0.69150.6915. The table gives the values of​ A(z), which are left tail areas.

.6915-1=z __A(z)

Mr.Smith should give his dog ______ ​can(s) of brand A and ______ ​can(s) of brand B to provide the minimum requirements at the least cost.

1 can and 3 cans

Brian determines that the probability that his painting will be stolen during the year is.02. He decides to take out a ​$20,000 insurance policy against the theft of a painting during the year. How much should he be willing to pay for this​ policy?

20,000*.02

According to a​ study, 253000 bachelor degrees in business were awarded in 1991 and 313000 were awarded in 2001. If the number of bachelor degrees in business continues to grow​ linearly, how many bachelor degrees in business will be awarded in​ 2010?

253000-313000=60000 10/60000=6000 9*6000=54000 54000+313000

If the odds in favor of Chris winning the election are 5 to 4​, then what is the probability that Chris​ wins?

5/4+5=5/9

Show that the argument is valid. If the price of gas increasesthe price of gas increases​, then production costs are raisedproduction costs are raised. If there is no debatethere is no debate​, the price of gas increasesthe price of gas increases. Production costs are not raisedProduction costs are not raised. ​Therefore, there is a debatethere is a debate.

Given Moden Tollens (1,3) Moden Tollens (2,4)

The probability that a fisherman catches a tuna in any one excursion is .22. What is the probability that he catches a tuna on each of sevenseven ​excursions? On at least one of sevenseven ​excursions?

a) .22tothe7thpower b) .22-1= .78tothe7thpower=n-1

The IQ scores are normally distributed with mean 7575 and standard deviation 1111. ​(a) What percent of the population has an IQ score of 8686 or​ more? ​(b) Find the 90th percentile of IQ scores.

a) 8686-7575/1111=z A(z)-1=% b) 90th percentile= A(z)=.9000--z u+z(o)

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally distributed with muμequals=12531253 and sigmaσequals=124124 chips. What is the probability that a randomly selected bag contains between 974974 and 15321532 chocolate​ chips?

b-u/o =-z b-u/o =z A(z)-A(z)

A die is rolled 60 times. What is the probability of getting exactly 11 1​'s?

c(60,11)*1tothe10th*5tothe49th/6tothe60th

At a benefit​ concert, eleveneleven bands have volunteered to perform but there is only enough time for fivefive of the bands to play. How many lineups are​ possible?

permutation(11,6)

Several psychology students are unprepared for a surprise​ true/false test with 25 ​questions, and all of their answers are guesses. Find the mean and standard deviation for the number of correct answers for such students.

u= (25)(.5) o=square root of (25)(.5)(.5)