The table below gives the values of p(x) for the binomial distribution when n = 6 and p = 0.25. X P(x) P(X) 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 0.40 0.35 0 0.178 0.356 0.297 0.132 0.033 0.004 0.000 (a) Construct the probability histogram for a binomial random variable x with n = 6 and p = 0.75. Use the results from above; do not recalculate all the probabilities. O O 0.30 0.25 0.20 0.15 0.10 0.05 0.00 1 2 3 0 1 2 3 4 5 6 X 4 0 1 2 3 4 5 6 X → 5 2 6 0.40 0.35 0.30 0.25 L LL 0.20 0.15 0.10 0.05 0.00 0 1 2 3 4 5 6 0 1 2 3 4 5 6 X → 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 X
The table below gives the values of p(x) for the binomial distribution when n = 6 and p = 0.25. X P(x) P(X) 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 0.40 0.35 0 0.178 0.356 0.297 0.132 0.033 0.004 0.000 (a) Construct the probability histogram for a binomial random variable x with n = 6 and p = 0.75. Use the results from above; do not recalculate all the probabilities. O O 0.30 0.25 0.20 0.15 0.10 0.05 0.00 1 2 3 0 1 2 3 4 5 6 X 4 0 1 2 3 4 5 6 X → 5 2 6 0.40 0.35 0.30 0.25 L LL 0.20 0.15 0.10 0.05 0.00 0 1 2 3 4 5 6 0 1 2 3 4 5 6 X → 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:(b) Do you see a relationship between the binomial distributions when n = 6 for p = 0.25 and p = 0.75? What is it?
6 and p
0.25.
The probabilities and the probability histogram for the binomial distribution when n = 6 and p = 0.75 are a mirror image of the probabilities and probability histogram when n =
O The probabilities and the probability histogram for the binomial distribution when n = 6 and p = 0.75 are symmetric while the probabilities and probability histogram when n = 6 and p = 0.25 are skewed left.
The probabilities and the probability histogram for the binomial distribution when n = 6 and p = 0.75 are skewed right while the probabilities and probability histogram when n = 6 and p = 0.25 are symmetric.
O The probabilities and the probability histogram for the binomial distribution when n = 6 and p = 0.75 and the probabilities and probability histogram when n = 6 and p = 0.25 show no noticeable relationship.
The probabilities and the probability histogram for the binomial distribution when n = 6 and p = 0.75 are identical to the probabilities and probability histogram when n = 6 and p = 0.25

Transcribed Image Text:The table below gives the values of p(x) for the binomial distribution when n =
X
P(x)
P(X)
0.40
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
0
0.40
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
1
2
0.178 0.356 0.297 0.132 0.033
012
3
0 1 2 3 4 5 6
X
(a) Construct the probability histogram for a binomial random variable x with n = 6 and p = 0.75. Use the results from above; do not recalculate all the probabilities.
4
3 4 5 6
X
5
6 and p
6
0.004 0.000
0.40
0.35
0.30
0.25
0.20
0.15
0.10
= 0.25.
0.05
0.00
0 1
2 3
X
4 5 6
0.40
0.35
0.30
0.25
0.20
0.15
0.10
0.05
0.00
012 3
X
4 5 6
Expert Solution

Step 1: Determine the given variable
The given Binomial probabilities for the variable
0 | 1 | 2 | 3 | 4 | 5 | 6 | |
0.178 | 0.356 | 0.297 | 0.132 | 0.033 | 0.004 | 0.000 |
For the variable,
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