Big babies: The Centers for Disease Control and Prevention reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 11 babies is studied. Round the answers to at least three decimal places.

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...
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Big babies: The Centers for Disease Control and Prevention reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A
sample of 11 babies is studied. Round the answers to at least three decimal places.
Transcribed Image Text:Big babies: The Centers for Disease Control and Prevention reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 11 babies is studied. Round the answers to at least three decimal places.
(b) What is the probability that more than 5 weigh more than 20 pounds?
The probability that more than 5 weigh more than 20 pounds is
Transcribed Image Text:(b) What is the probability that more than 5 weigh more than 20 pounds? The probability that more than 5 weigh more than 20 pounds is
Expert Solution
Step 1

Let X be a random variable which denotes the number of baby boys 6-8 months old in the US weighing more than 20 pounds.

A sample of size 11 is given, with the probability that weight is more than 20 pounds being 0.30

As the trials are independent (random sample), the number of trials are fixed (11) and the probability of success is same for each trial, the random variable X follows binomial distribution with parameters n=11 and p=0.30

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