Business Statistucs 1 (#7) Consider the following discrete probability distribut

Question

Business Statistucs 1

(#7)

Consider the following discrete probability distribution where the random variable X can take on any one of the possible outcome values of 1, 2, 3, 4 or 5.

The probabilities for each outcome, P(x), are shown below each outcome.

Suppose the experiment is conducted 100 times. Use the probabilities of each outcome above to complete the frequency distribution table below by calculating the expected frequency of each outcome. (Note: it is ok to have decimal answers.)

x

Outcome

Expected frequency

of x

1

2

3

4

5

TOTAL

100

(#8)

Below is the probability distribution for rolling a single (fair) die.

Which of the following reasons below tells us  that this table does not represent an actual probability distribution?

*All of the outcomes are not listed in the table.

The probability of every outcome is not between 0 and 1.

The sum of the probabilities of all of the outcomes is more than 1.

None of these

Explanation / Answer

7) total = 100

X Frequency

1 0.2*100 = 20

2 0.3*100 = 30

3 0.1*100 = 10

4 0.2*100=20

5 0.2*100=20

8) Option-A) All of the outcomes are not listed in the table. Because 6 is not listed in the table.

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