Consider two binomial distributions for 1,000 repeated Bernoulli trials-the first for trials with p=.15, and the second for trials with p=.85. How are the histograms for the two distributions related? Explain.

Randall Booker

Randall Booker

Answered question

2022-09-11

Consider two binomial distributions for 1,000 repeated Bernoulli trials-the first for trials with p=.15, and the second for trials with p=.85. How are the histograms for the two distributions related? Explain.

Answer & Explanation

Kristopher Beard

Kristopher Beard

Beginner2022-09-12Added 18 answers

For first trial p=0.15 and q=1-0.15=0.85 where as for second trial p=0.85 and q=1-0.85=0.15
Hence, success of second trial can be considered as failure of first trial as shown below:
Probability of no success of first trial is:
1000 C 0 ( 0.15 ) 0 ( 0.85 ) 1000 = ( 0.85 ) 1000
Probability of no failure success of second trial is:
1000 C 1000 ( 0.85 ) 1000 ( 0.15 ) 0 = ( 0.85 ) 1000
Hence, the histograms are mirror image to each other.

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