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Six coins are tossed 6,400 times. Using Poisson distribution, find the approximate probability of getting six heads two times.

Six coins are tossed 6,400 times. Using Poisson distribution, find the
approximate probability of getting six heads two times.

Grade:12

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
Let the coin be unbaised coin

Therefore the probability of getting 6 heads with six coins = (1/2)^6 = 1/64 = p (say)

Then np = 6400 * 1/64 = 100=m (say)

Then according to poissons law

P(X=x) =\frac{e^{-m}m^{x}}{x!}

=e^{-100}\frac{100^2}{2!}

=5000e^{-100}

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