Could you please answer and show me how to do it?

Question 1 (1 point)

Determine P(S) from this probability contingency table:

	a	b	c	Total
R	0.10	0.08	0.09	0.27
S	0.04	0.12	0.07	0.23
T	0.02	0.05	0.09	0.16
U	0.12	0.13	0.09	0.34
Total	0.28	0.38	0.34	1.00

Question 1 options:

1)

0.1900

2)

0.0700

3)

0.2300

4)

0.1200

Question 2 (1 point)

Determine P(T or b) from this probability contingency table:

	a	b	c	Total
R	0.10	0.08	0.09	0.27
S	0.04	0.12	0.07	0.23
T	0.02	0.05	0.09	0.16
U	0.12	0.13	0.09	0.34
Total	0.28	0.38	0.34	1.00

Question 2 options:

1)

0.5400

2)

0.0500

3)

0.4400

4)

0.4900

Question 3 (1 point)

Determine P(R|c) from this probability contingency table:

	a	b	c	Total
R	0.10	0.08	0.09	0.27
S	0.04	0.12	0.07	0.23
T	0.02	0.05	0.09	0.16
U	0.12	0.13	0.09	0.34
Total	0.28	0.38	0.34	1.00

Question 3 options:

1)

0.2700

2)

0.2647

3)

0.3400

4)

0.0900

Question 4 (1 point)

The expected value, E(X), of this probability distribution is:

X	P(X)
-1	0.1
0	0.4
1	0.3
2	0.2

Question 4 options:

1)

0.5500

2)

0.6000

3)

0.5000

4)

0.8000

Question 5 (1 point)

For this probability distribution, the standard deviation of X is:

X	P(X)
-10	0.1
0	0.4
10	0.5

Question 5 options:

1)

10.0000

2)

44.0000

3)

6.6332

4)

3.1623

Question 6 (1 point)

X follows a binomial distribution with n = 11 and p = 0.16. P(X=3) to four decimal places is:

Question 6 options:

1)

0.6758

2)

0.1563

3)

0.0010

4)

0.1675

Question 7 (1 point)

X follows a binomial distribution with n = 7 and p = 0.60. P(X>=6) to four decimal places is:

Question 7 options:

1)

0.1586

2)

0.2469

3)

0.1306

4)

0.0280

Question 8 (1 point)

X follows a Poisson distribution with mu = 5.6. P(X = 4) to four decimal places is:

Question 8 options:

1)

0.1499

2)

0.1082

3)

0.1515

4)

0.7143

Question 9 (1 point)

X follows a Poisson distribution with mu = 2.3. P(X > 1) to four decimal places is:

Question 9 options:

1)

0.2306

2)

0.7192

3)

0.6691

4)

0.4040