Hospital records show that of patients suffering from a certain disease, 25% die of it. (i) What is the probability that of 6 randomly selected patients, 4 will recover? (ii) What is the most probable number of recoveries out of 6 randomly selected patients?  (iii) Compute and plot a bar graph of the probability distribution of recoveries out of 6 randomly selected patients. (iv) Plot the distribution function of the number of recoveries out of 6 randomly selected patients.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Hospital records show that of patients suffering from a certain disease, 25% die
of it.
(i) What is the probability that of 6 randomly selected patients, 4 will recover?

(ii) What is the most probable number of recoveries out of 6 randomly selected patients? 


(iii) Compute and plot a bar graph of the probability distribution of recoveries out of 6 randomly selected patients.

(iv) Plot the distribution function of the number of recoveries out of 6 randomly selected patients.

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