Final answer:
The sample space S for the number of heads X in 5 flips of a biased coin with a probability of 0.05 of coming up heads consist of the values {0, 1, 2, 3, 4, 5}, representing all possible outcomes for the number of heads that could appear after 5 flips.
Step-by-step explanation:
The question asks to find the sample space S for the number of heads X in 5 flips of a biased coin with a probability of 0.05 of coming up heads. The sample space S of X is the set of all possible outcomes for the number of heads that can occur in these 5 flips. Since each flip can result in either a head (H) or a tail (T), and the coin is flipped exactly 5 times, X can take on the values 0, 1, 2, 3, 4, or 5, representing the number of heads that could appear.
In 5 flips, the following number of heads could appear: no heads at all (0), exactly one head (1), exactly two heads (2), exactly three heads (3), exactly four heads (4), or all five heads (5). Thus, the sample space S for X would be {0, 1, 2, 3, 4, 5}. This represents all possible outcomes for the number of heads that could result from flipping the coin 5 times.