Opportunity for Additional Points on Test 2 complete solutions correct answers key

Opportunity for Additional Points on Test 2

complete solutions correct answers key 

Given the following Distribution  of test scores

A  - 4

B – 12

C – 10

D – 6

F -  4

1) If we use the middle grade for each grade ( A- 95, B – 85) etc.  Find the Expected Score

2) Find the standard deviation using the average

3) I am going to form a test review committee. How many ways can I choose 7 students from the class?

4) I am going to for a test review committee.  How many ways can I choose an A student, 2 B students, 2C students, 1 D student and 1 F student from the group?

5) If I choose one student at random what is the probability I get an A student?

6) What is the probability I get a B or a D student?

7) What is the probability I get an A student and a C student?

8) If I pick 2 students from this group, what is the probability I get an A student then a D student?

9) Suppose that getting a student with a C or above is a success, an anything else is a failure, What is the probability of getting exactly 7 successes when choosing a committee.  (first tell me what type of distribution this is, and then calculate the answer)?

10) What is the probability that I have at least 3 successes on my committee?

11).  If one test is selected at random,  what is the probability the students had a score of 88 or better?

12).  One test is selected at random, what is the probability it is below 60?

13).  One test is selected at random, what is the probability it was between a 70 and a 79?

14).  If 6 tests are selected at random what is the standard error (standard deviation).

15).  Another test is given in a different class,  it is uniformly distributed.  The average was a 70 with a range of 60.  What is the probability the score is 88 or better.

16).  Another test is given in a different class,  it is uniformly distributed.  The average was a 70 with a range of 60.  What is the probability the score is below 60.

17.  I have a standard deck of 52 cards.  Draw TWO cards without replacement.   Note: Aces are NOT face cards. (1 pt each)

 Find  P(ace then a King)

18.  I have a standard deck of 52 cards.  Draw TWO cards without replacement.   Note: Aces are NOT face cards. (1 pt each)

Find P (face card then a face card)

19.  I have a standard deck of 52 cards.  Draw TWO cards without replacement.   Note: Aces are NOT face cards. (1 pt each)

Find P (ace then a male face card)

20. I have a standard deck of 52 cards   Draw ONE card from the deck

Find P(face card or red)