First slide

Random variable and probability distribution

Question

Six coins are tossed 6400 times. The probability of getting 6 heads x times using poisson distribution is

Easy

A

${6400e}^{- x}$
B

$\frac{6400 e^{- x}}{∠ x}$
C

$\frac{e^{- 100} 100^{x}}{x!}$
D

$e^{- 100}$

Solution

$p = 6_{C_{6}} {(\frac{1}{2})}^{6} = \frac{1}{64}$
$λ = n p = 6400. \frac{1}{64} = 100$

$P (X = x) = e^{- 100} \frac{100^{x}}{x!}$

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