1. Set x= (5,7,11,13,16,19) Set y= (1,2,5,13,19)
a. what is the union of sets x and y
b. what is the intersection of sets x and y
c. create your own set z that is a subset of x

2.Let set 1 be the entire alphabet. let set 2 = (w,x,y,z)
a. what is the complement of set 2 in set 1
b. set 3 =(w,x,z). is set 3 a proper subset of set 2 . please explain in words

3. suppose you are going to flip a coin. what is the set of possible outcomes for this
suppose you flip the coin twice. what is the set of possible outcomes for this
if you flip the coin twice what are the chances that you will get one head and one tail? ( i.e 1 in 3, 1 in 4)

4. consider 2 regular dices- how many possible outcomes (sum of dots) are there if you throw the two dice on the board? what are the chaces the sum of both dice will be equal to 6. how about both dice again but the sum of 7 ?

Solution Summary

Sets, Complements and Probability are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

A professor grades homework by randomly choosing 5 out of 12 homework problems to grade.
a) How many different groups of 5 are there from the 12 problems?
b) Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?
c) Silvia did 7 pro

Kolzak Appliance has just received a shipment of 10 TV sets. Shortly after they were received, the manufacturer called to report that he had inadvertently shipped 3 defective sets. Ms. Kolzak, decided to test 2 of the 10 sets she received. What is the probability that neither of the 2 sets tested is defective?
Pls find the pr

1) A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
2) In a shipment of 20 televisions, 5 are defective. If 2 television sets are randomly selected and tested without replacement, what is the probabili

In a shipment of 40 television, 3 are defective. if 2 television sets are randomly selected and tested without replacement, what is the probability that both are defective?

Which of the following is a valid probability distribution for a sample space
S = {a,b,c,d}
a. Pr(a)=-0.2, Pr(b)=0.5, Pr(c)=0.4, Pr(d)=0.3
b. Pr(a)=0.3, PR(b)=0.1, Pr(c)-0.2, Pr(d)=0.5
c. Pr(a)=0.6, Pr(b)=0, Pr(c)=0.3, Pr(d)=0.1
d. Pr(a)=0.5, Pr(b)=0.2, Pr(c)=0.1, Pr(d)=0.3

A light Bulb manufacturer tests a light bulb by letting it burn until it burns out. The experiment consists of observing how long (in hours) the light bulb burns. Let E be the event "the bulb lasts less than 100 hours", F be the event "the bulb lasts less than 50 hours",and G be the event "the bulb lasts more than 120 hours." T

1) A contractor is considering a project which he estimates will yield a $160,000 profit with a probability of 65% and a loss of $50,000 with a 35% probability due to poor weather and material issues. What is his expected (value) profit?
2) CSI has a 20 share meaning that while it is being broadcast, 20% of the TV sets are tu

1. Your department just shipped 100 engines, and all of them were free of defects. Please tell me which of the following written descriptions is the complement of this event? (Be careful-I HIGHLY suggest referring to the text one more time. This one is really tricky-but the answer is in the test!)
a. All of the engines are defe