# Please answer these short 6 questions! I will mark helpful!

- George is concurrently enrolled in both AP Statistics and AP Computer Science I. He has a quiz in both classes today. The probability that he makes an "A" on either his statistics quiz or his computer science quiz is 0.45 or 0.52, respectively. The probability that he makes an "A" on both quizzes today is 0.25. What is the probability he makes as A on his stats quiz given he makes an A on his computer science quiz? Round answer to 4 decimal places.

Are the events "makes an a on the stat quiz" and "makes an A on the CS Quiz" independent? (yes or no)

2.The following Venn diagram displays the relationship between education and martial status at a large company where 72% of the employees are married and 47% are college graduates.

A. What is the probability that a randomly chosen employee is either married or a college graduate?

B. What is the probability that a randomly chosen employee is neither married nor a college graduate?

3.In a large Statistics class, 25% of the class earned an "A" on the first exam, 32% earned an "A" on

the second exam and 18% earned an "A" on both exams. If a student is drawn at random from this

class, what is the probability of each of the following...

The person earned an "A" on at least one exam.

The person earned an "A" on exactly one of the exams.

The person earned an "A" on the second test, given that he earned an "A" on the first.

The person did not earn an "A" on either of the exams

4.Matthew has wooden tiles are all different colors with the following digits on them. How many ways can he make 4-digit numbers that are greater than or equal to 7000 and are divisible by 2?

Numbers: 3,0,9,1,9,0,7

5.A family has three girls and two boys. To select two children to do the dishes, the mother puts the names of the children on separate pieces of paper, mixes them up, and randomly draws two different pieces of paper, one at a time. What is the probability that they are both boys?

6.A survey, of 400 randomly chosen people, reveals that the probability a person is male is 0.375, that the probability that a person has brown eyes is 0.425, and that the probability that a person is male and has brown eyes is 0.2 Find the probability of a person having brown eyes or being male. ** **

- 0.425
- 0.425
- 0.2
- 0.2
- 0.375
- 0.375
- 0.6
- 0.6
- 0.8

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