Question

7. This scenario can be modeled as a

(a) normal experiment with 4 trials and success probability of 1/6 per trial.

(b) normal experiment with 6 trials and success probability of 1/4 per trial.

(c) binomial experiment with 6 trials and success probability of 1/5 per trial.

(d) binomial experiment with 4 trials and success probability of 1/6 per trial.

(e) binomial experiment with 6 trials and success probability of 1/4 per trial.

8. Complete the following table that represents the probability distribution of

X

= the number of

questions Han guesses correctly.

x

0

1

2

3

4

5

6

P(X = x)

(a) 1/7, 2/7, 3/7, 4/7, 5/7, 6/7, 1

(b) .1780, .5339, .8306, .9624, .9954, .9996, 1

(c) 1/7, 1/7, 1/7, 1/7, 1/7, 1/7, 1/7

(d) .1780, .3560, .2966, .1318, .0330, .0044, .0002

(e) 1/6, 1/6, 1/6, 1/6, 1/6, 1/6

9. What is the probability he will answer at least 4 of the questions correctly?

(a) 0.0376 (b) 10/12 (c) .67% (d) 2/12 (e) 0.0046

10. What is the mean number of questions he will answer correctly?

(a) 0 (b) 1 (c) 1.5 (d) 2 (e) 4

11. What is the standard deviation of the number of questions he will answer correctly?

(a) 0.46 (b) 1 (c) 1.06 (d) 1.5 (e) 1.6

Answer 1

7) (e) binomial experiment with 6 trials and success probability of 1/4 per trial.

8) (d) ( look the below excel-sheet )

9) a)

P(X >= 4) = 0.0330+0.0044+0.0002 = 0.0376

10) (c)

11) (c)

The formulae used on the above excel-sheet are as follow: