Given below are a situation and its step-by-step procedure in constructing a

probability distribution, which is already answered for you. Your job is to check for

errors in the solution. If there are errors, do the following in the table after the test

sample and answers on a separate sheet of paper:

1. Identify the errors.

2. Correct the errors.

3. Then explain why your correction is right.

ANSWERED TEST WITH ERRORS: Problem: A coin is tossed four times. Let T be the number of tails that come out. Is the distribution below a discrete probability distribution? Why or why not? Solution: Step 1. The sample space of this experiment is: (HHHH. HHHT. HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH. THTT, TTHH, TTHT, TTTH, TTTT)Step 2. Outcomes No. of Tails HHHH 0 HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH A W W N W N N - W N N - N - - THAT THTH THTT TTHH TTHT TTTH TTTT Step 3. Number of Tails Frequency 0 O A W N - Step 4. t 0 1 2 3 P(t) 1/16 1/4 3/8 1/4 Is the distribution a discrete probability distribution? Why or why not? The distribution is not considered as discrete probability distribution because the sum of the probabilities is not equal to 1. Identified Error Correction of Error Explanation of Correction