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The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through ((1) below. Number of Multiple Age Births 15-19 89 20-24 512 25-29 1632 30-34 2820 35-39 1843 40-44 382 45-54 120 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39) = 0.630 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = E (Type an integer or decimal rounded to three decimal places as needed.) Atest to determine whether a certain antibody is present is 99.8% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.8% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.002. Suppose the test is given to four randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all four people? (b) What is the probability that the test comes back positive for at least one of the four people? (a) P(all 4 tests are negative) = 0.992' (Round to four decimal places as needed.) (b) P(at least one positive) = (Round to four decimal places as needed.) Suppose George wins 30% of all staring contests. (a) What is the probability that George wins two staring contests in a row? (b) What is the probability that George wins four staring contests in a row? (6) When events are independent, their complements are independent as well. Use this result to determine the probability that George wins four staring contests in a row, but does not win ve in a row. (a) The probability that George wins two staring contests in a row is D. (Round to four decimal places as needed.)