Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find the probability distribution given the probability p = 0.708 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 2 4.
Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find the probability distribution given the probability p = 0.708 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 2 4.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Binomial Distribution Example**
In this exercise, a procedure results in a binomial distribution with a trial repeated \( n = 5 \) times. The goal is to find the probability distribution with a success probability \( p = 0.708 \) on a single trial. Use technology or statistical methods to calculate each probability, rounding the answers to four decimal places.
### Probability Distribution Table
| \( k \) | \( P(X = k) \) |
|---|---|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
**Instructions:**
- Calculate the probability \( P(X = k) \) for each value of \( k \) from 0 to 5.
- Ensure that your answers are accurate to four decimal places.
- Depending on your method, this might involve using a binomial probability formula or software that supports statistical functions.
**Formula Reminder:**
- The binomial probability formula is:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where \( \binom{n}{k} \) is the binomial coefficient, \( p \) is the probability of success, and \( n \) is the number of trials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8936f34-682b-4189-9ce8-a2b8785d4568%2Fa5c10b55-c05f-407e-a821-0e5f989578e1%2Fea3cj1d_processed.png&w=3840&q=75)
Transcribed Image Text:**Binomial Distribution Example**
In this exercise, a procedure results in a binomial distribution with a trial repeated \( n = 5 \) times. The goal is to find the probability distribution with a success probability \( p = 0.708 \) on a single trial. Use technology or statistical methods to calculate each probability, rounding the answers to four decimal places.
### Probability Distribution Table
| \( k \) | \( P(X = k) \) |
|---|---|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
**Instructions:**
- Calculate the probability \( P(X = k) \) for each value of \( k \) from 0 to 5.
- Ensure that your answers are accurate to four decimal places.
- Depending on your method, this might involve using a binomial probability formula or software that supports statistical functions.
**Formula Reminder:**
- The binomial probability formula is:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where \( \binom{n}{k} \) is the binomial coefficient, \( p \) is the probability of success, and \( n \) is the number of trials.
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