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Q.

6 Coins are tossed 320 times. The probability of getting 5 heads 2 times is

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a

30×e30

b

302×e30

c

302×e30/2

d

30×e10

answer is A.

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Detailed Solution

Let X be the number of times of getting 5 heads when tossing 6 coins
Probability of getting 5 heads when tossing 6 coins = 6C526=332.
Mean of X is  320(332)=30.
Assume that   follows Poisson distribution with parameter  λ. Then λ=30,P(X=2)=e303022!

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6 Coins are tossed 320 times. The probability of getting 5 heads 2 times is