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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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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(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:(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
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
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 x with parameters, n=6 and p=0.25 are as follows:

x0123456
P(x)0.1780.3560.2970.1320.0330.0040.000

For the variable, X, which assumes values, x=0,1,2,..n with a fixed probability of p, the probability mass function is given as follows:

P(X=x)=nCxpx(1−p)(n−x);x=0,1,2,..n=0 ;otherwise



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