this is due at 5pm today in one hour 20 questions please help me with this willing to tip good as well !MTH 106 Final Exam Fall 2020

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

List the elements in the set.

1) The set of all whole numbers greater than 6 and less than 10

1)

Identify the set as finite or infinite.

2) {x | x is a fraction between 60 and 61}

2)

Write true or false for the following statement.

Let A = {3, 5, 7, 9, 11, 13}

B = {3, 5, 9, 11}

C = {5, 9, 13}

3) A = {x | x is an odd counting number greater than 1 and less than 15}

3)

4) Every element of C is also an element of A.

4)

Find the number of subsets of the set.

5) {mom, dad, son, daughter}

5)

Let U = {1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.

6) R = {1, 2, 5, b, d}

6)

Let p represent a true statement and let q represent a false statement. Find the truth value of the given compound

statement.

7) ~[~p (~q p)]

7)

1

Construct a truth table for the statement.

8) (t s) (~t ~s)

8)

For the given sets, construct a Venn diagram and place the elements in the proper region.

9) U = {2, 4, 6, 8, 10, 12}

A = {2, 6, 10}

B = {2, 4, 8}

C = {2, 8, 10, 12}

Find the probability.

10) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability

that either doubles are rolled or the sum of the dice is 10.

9)

10)

List the elements in the set .

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}.

11) (A B’) (B A’)

11)

Find the mean of the set of data.

12) 11, -6, 7, 2, 11

12)

2

Find the standard deviation. Round to one more place than the data.

13) 14, 14, 10, 7, 14, 14, 13, 19, 15, 15

13)

Find the median for the given sample data.

14) A new business had the following monthly net gains:

14)

$7487 $2311 $3027 $6828 $8575

$3993 $2943 $6836 $5920 $5925

Find the median net gain.

Shade the regions representing the set.

15) A’ B’

15)

Provide an appropriate response.

16) The range and standard deviation of the data set below are 35 and 12.47 respectively.

16)

5, 24, 25, 26, 40

If the 26 is replaced with 39, how will this affect the range? How will this affect the

standard deviation. Use your answers to explain why the standard deviation is preferable

to the range as a measure of variation.

17) Roughly speaking, the standard deviation indicates how far, on average, the observations

are from the mean. Do you think that for the data set below the standard deviation will

give a good indication of the typical deviation from the mean?

2, 3, 4, 4, 5, 5, 6, 6, 100

What drawback of the standard deviation is illustrated by this example?

3

17)

Use Chebyshev’s theorem to solve the problem.

18) In a certain distribution of numbers, the mean is 50 and the standard deviation is 6. What

can you say about the percentage of numbers that lie between 38 and 62?

Solve the problem.

19) At Loop Junior College, the mean grade point average (gpa) of the current student body is

2.76 with a standard deviation of 0.64. Compute the gpa’s of each student to two decimal

places.

18)

19)

A gpa with a z-score of 0.6.

A gpa with a z-score of -1.2.

Find the area under the normal curve for the condition.

20) Find the percent of the area under the curve between the mean and -0.83 standard

deviations from the mean.

4

20)

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