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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![**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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F387cd1c7-b441-4d8b-8ba8-956e699a7630%2F004a4a29-704e-4356-9c63-3dc94692814b%2Fp1s2tp_processed.png&w=3840&q=75)
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON