Hi dear expert, can you show me please the detailed calculation? How can I do it on my calculator, plz?

1. You have a bag which contains 6 white balls and 8 black balls. You sample 10 balls with replacement. You interested in the number of white balls that will result.What is the expected value of the probability distribution of the number of white balls under these conditions?

1. 10
2. 2.229
3. .4286
4. 4.2857

2. In the following set of values, what is the value of Q₃?

3710 3755 3850 3880 3880 3890 3920 3940 3950 4050 4130 4325

1. 4025
2. 9.75
3. 3905
4. 3850

3.

A midterm has a mean of 65 and a standard deviation of 8. A student's score in z units is -2.0. What was this student's actual score on the midterm?

1. 63
2. 57
3. 49
4. 41

4. The 6/49 draw population consists of the numbers 1 to 49, each appearing only once.What is the interquartile range for this distribution?

1. 6
2. 49
3. 25
4. 37.5

5. You toss a coin 5 times. How many ways can you get 2 heads?

1. 20
2. 1
3. 5
4. 10

6. Assume that you have a binomial experiment with 100 trials and p = .6. What is the standard deviation of this binomial distribution?

1. 24.0000
2. .0490
3. .0024
4. 4.8990

7.Variable X has a standard deviation of 3 and Variable Y has a standard deviation of 5.What is the maximum value that the covariance between X and Y could have?

1. 1.0
2. 15
3. 0
4. 5