Use the binomial distribution chart (opens in a new window) to find the probabilities. According to Inc.com, there is a 50% chance of a new business failing within the first five years. (Take note! This is one of those cases in which a "success" doesn't seem like what we think of as a success at all. In this case, we want to calculate probabilities regarding a business failing, so that is the "success" we are referring to.) If a random group of 6 businesses are selected, 1. What is the probability that exactly 2 businesses will fail in the first 5 years? P(r = + v x )= 0.234 (Enter the probability only.) Click to view hint 2. What is the probability that none will will fail? P(r x )= 0.016 v(Enter the probability only.) Click to view hint 3. What is the probability that at least 5 fail? P(r x)= 0.11 v (Enter the probability only) Click to view hint 4. What is the probability that all will will fail? P(r x )= 0.016 (Enter the probability only.) Click to view hint 5. What is the probability that no more than 4 will fail? P(r x )= 0.656 x (Enter the probability only.) Click to view hint page Next page

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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Use the binomial distribution chart (opens in a new window) to find the probabilities.
According to Inc.com, there is a 50% chance of a new business failing within the first five years. (Take note!
This is one of those cases in which a "success" doesn't seem like what we think of as a success at all. In this
case, we want to calculate probabilities regarding a business failing, so that is the "success" we are referring
to.)
If a random group of 6 businesses are selected,
1. What is the probability that exactly 2 businesses will fail in the first 5 years? P(r
x %3=
0.234
(Enter the probability only.) Click to view hint
2. What is the probability that none will will fail? P(r
x )= 0.016
(Enter the
probability only.) Click to view hint
3. What is the probability that at least 5 fail? P(r
x )=
0.11
v (Enter the probability
only) Click to view hint
4. What is the probability that all will will fail? P(r
0.016
(Enter the probability
only.) Click to view hint
5. What is the probability that no more than 4 will fail? P(r
9.
X )=
0.656
x (Enter the
probability only.) Click to view hint
s page
Next page
Transcribed Image Text:Your Turn Use the binomial distribution chart (opens in a new window) to find the probabilities. According to Inc.com, there is a 50% chance of a new business failing within the first five years. (Take note! This is one of those cases in which a "success" doesn't seem like what we think of as a success at all. In this case, we want to calculate probabilities regarding a business failing, so that is the "success" we are referring to.) If a random group of 6 businesses are selected, 1. What is the probability that exactly 2 businesses will fail in the first 5 years? P(r x %3= 0.234 (Enter the probability only.) Click to view hint 2. What is the probability that none will will fail? P(r x )= 0.016 (Enter the probability only.) Click to view hint 3. What is the probability that at least 5 fail? P(r x )= 0.11 v (Enter the probability only) Click to view hint 4. What is the probability that all will will fail? P(r 0.016 (Enter the probability only.) Click to view hint 5. What is the probability that no more than 4 will fail? P(r 9. X )= 0.656 x (Enter the probability only.) Click to view hint s page Next page
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