Binomial Probability Problems A. If five babies are born in a given hospital on the same day, what is the probability that one will be a boy and the other four will be girls? 5p¹q¹ = 5(0.54)(0.5¹) = 5*0.03125 = = 0.15625 B. If five babies are born in a given hospital on the same day, what is the probability that three will be boys and the other two will be girls? C. If six babies are born in a given hospital on the same day, what is the probability that four will be boys and the other two will be girls?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Binomial Probability Problems**

**A.** If five babies are born in a given hospital on the same day, what is the probability that one will be a boy and the other four will be girls?

\[
5p^1q^4 = 5(0.5^1)(0.5^4) = 5 \times 0.03125 = 0.15625
\]

**B.** If five babies are born in a given hospital on the same day, what is the probability that three will be boys and the other two will be girls?

**C.** If six babies are born in a given hospital on the same day, what is the probability that four will be boys and the other two will be girls?

**D.** There were five babies born at a given hospital on the same day: three boys and two girls. What is the probability that the sixth baby will be a girl?
Transcribed Image Text:**Binomial Probability Problems** **A.** If five babies are born in a given hospital on the same day, what is the probability that one will be a boy and the other four will be girls? \[ 5p^1q^4 = 5(0.5^1)(0.5^4) = 5 \times 0.03125 = 0.15625 \] **B.** If five babies are born in a given hospital on the same day, what is the probability that three will be boys and the other two will be girls? **C.** If six babies are born in a given hospital on the same day, what is the probability that four will be boys and the other two will be girls? **D.** There were five babies born at a given hospital on the same day: three boys and two girls. What is the probability that the sixth baby will be a girl?
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