Let Z1, Z2,… be a sequence of random variables that converges to the random variable Z in probability. Which statement is true for the sequence Zi'=aZi+b with a,b∈R? Select one:   a. The sequence Z1', Z2',... converges in probability to aZ+b as n tends to infinity.   b. The sequence Z1', Z2',... converges in probability as n tends to infinity if and only if a,b≥0.   c. The sequence Z1', Z2',... converges in probability to a2Z as n tends to infinity.   d. The sequence Z1', Z2',... does not necessarily converge in probability.

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A gender-selection technique is designed to increase the likelihood thata baby will be a girl. In the results of the gender-selection technique, 912 birfhs consisted of 462 baby girls and 450 baby boys. In analyzing these results, assume that boys and girls are equally likely a. Find the probability of getting exactly 462 girls in 912 births. b. Find the probability of getting 462 or more girls in 912 births. If boys and girls are equally likely, is 462 girls in 912 births unusually high? J inb rAbabilitiocalaunt forninate Eertho denbnini in cEontin ha coouk romnodLa n arna H frono ert /h1 a. The probability of getting exactly 462 girls in 912 births is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Ansuer parts remaining Clear All P Pearson 9:50 PM 11/29/2019 O e ch

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