In a study by the Department of Transportation, there were a total of 95 drivers that were pulled over for speeding. Out of those 95 drivers, 33 were men who were ticketed, 8 were men who were not ticketed, 7 were women who were ticketed, and 47 were women who were not ticketed. Suppose one person was chosen at random. 1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
Enter your answers as whole numbers or fractions in lowest terms.

1) 47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2) 8/41 probability that the selected person is someone who was not ticketed, given it is a man.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?

7 + 47 = 54 total woman

47 were not ticketed. So

47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2. What is the probability that the selected person is someone who was not ticketed, given it is a man?

33 + 8 = 41 men.

8 were not ticketed. So

8/41 probability that the selected person is someone who was not ticketed, given it is a man.

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range:

(2,6)

step-by-step explanation:

cause i just did this and got the answer

you're welcome