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)
