In each of the following situations, describe a sample space S for the random ph

Question

In each of the following situations, describe a sample space S for the random phenomenon. A basketball player shoots four free throws. You record the sequence of hits and misses. S = {0, 1, 2, 3, 4} S = the set of all sequences of 4 hits or misses like HHMH and HMMH S = {HIT, MISS} S = {1, 2, 3, 4} A basketball player shoots four free throws. You record the number of baskets she makes. S = the set of all sequences of 4 hits or misses like HHMH and HMMH S = {HIT, MISS} S = {1, 2, 3, 4} S = {0, 1, 2, 3, 4}

Explanation / Answer

Step 1.

Note that the sample space is the set of all possible results. Hence, as we record sequences,

OPTION B: S = the set of all sequences of 4 hits or missed like HHMH and HMMH [ANSWER]

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Step 2.

Now we count the number of basket he makes. As he only shot 4, the the maximum he makes is 4, and minimum of 0. Hence,

OPTION D: S = {0,1,2,3,4} [ANSWER]

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