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Grade: 12

                        

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

4 years ago

Answers : (1)

Nishant Vora
IIT Patna
askIITians Faculty
2467 Points
							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}
3 years ago
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