1. Suppose that probability of having a trait is p, and p = 0.01. If a sample of 100 is recorded to see which ones have the trait, what does that tell us about the sampling distribution of the sample with the gene? what does it tell about the probability that none of them have the trait?

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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1. Suppose that probability of having a trait is
p, and p = 0.01. If a sample of 100 is recorded
to see which ones have the trait, what does
that tell us about the sampling distribution of
the sample with the gene? what does it tell
about the probability that none of them have
the trait?
2. If the sample is 10000, what is the
approximate probability that there is a
positive probability for the fraction of sample
with the trait to be negative? Find the upper
bound for this.
Transcribed Image Text:1. Suppose that probability of having a trait is p, and p = 0.01. If a sample of 100 is recorded to see which ones have the trait, what does that tell us about the sampling distribution of the sample with the gene? what does it tell about the probability that none of them have the trait? 2. If the sample is 10000, what is the approximate probability that there is a positive probability for the fraction of sample with the trait to be negative? Find the upper bound for this.
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