First slide

Random variable and probability distribution

Question

Six coins are tossed 3200 times. The probability of getting 5 heads 2 times, by using poisson distribution, is

Moderate

A

$\frac{300^{2} . e^{- 300}}{2}$
B

$\frac{300. e^{- 300}}{2}$
C

$300^{2} {.e}^{- 300}$
D

${300e}^{- 2}$

Solution

$p = P (X = 5)$
$= 6_{C_{5}} {(\frac{1}{2})}^{6} = 6. \frac{1}{64} = \frac{3}{32}$

$λ = n p = 3200. \frac{3}{32} = 300$

$P (X = 2) = e^{- 300} \frac{300^{2}}{2!}$

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