What is the median number of infected corn stalks in a given row?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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6) What is the median number of infected corn stalks in a given row?
Below you will find the same corn stalk table with the binomial probabilities of finding a given number
of infected corn stalks in a row of 6. If you ran this experiment again, what is the probability that at
least 2 corn stalks become infected in a given row?
Number of Corn Stalks Infected
0
1
2
3
4
5
6
Number of Rows
16
28
37
12
4
2
1
Binomial Probability
0.14
0.32
0.32
0.17
0.05
0.008
0.0005
Transcribed Image Text:Below you will find the same corn stalk table with the binomial probabilities of finding a given number of infected corn stalks in a row of 6. If you ran this experiment again, what is the probability that at least 2 corn stalks become infected in a given row? Number of Corn Stalks Infected 0 1 2 3 4 5 6 Number of Rows 16 28 37 12 4 2 1 Binomial Probability 0.14 0.32 0.32 0.17 0.05 0.008 0.0005
Expert Solution
Step 1

Given information:

Frequency and probability distribution function of X is shown below:

Number of corn stalks infected X Number of Rows f Binomial Probability P(X=x)
0 16 0.14
1 28 0.32
2 37 0.32
3 12 0.17
4 4 0.05
5 2 0.008
6 1 0.0005
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