Probability 5 Question 8

8. A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn one-by-one with replacement, then the variance of the number of green balls drawn is

(a) 125

(b) 6

(c) 4

(d) 625

(2017 Main)

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Answer:

Correct Answer: 8. (a)

Solution:

  1. Given box contains 15 green and 10 yellow balls.

Total number of balls =15+10=25

P( green balls )=1525=35=p= Probability of success

P (yellow balls) =1025=25=q= Probability of unsuccess and n=10= Number of trials.

Variance =npq=10×35×25=125



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