Six coins are tossed 6400 times. Using the poisson distribution, determine the approximate probability of getting six heads x times.
Six coins are tossed 6400 times. Using the poisson distribution, determine the approximate probability of getting six heads x times.
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P(head for one coin) = 1/2
so for 6 times head P(head) = (1/2)^6 = 1/64
mean = np = 6400 x 1/64 = 100 (where n=6400 and p = 1/64)
Now, poisson distribution formula is = (e-m) (mx) / x!
so, poisson distribution of 6 head x times = (e-100) (100x) / x!