A fifle bullet with a muzzle speed of 320 ms fired directly

A fifle bullet with a muzzle speed of 320 m/s fired directly into a special dense material that stops the bullet in 28.0 cm Assuming the bullet\'s deceleration to be constant what is its magntude?

Solution

The probability mass function of poisson distribution is given by

P(X=x)=( e^{- x})/x!

Sum of the independent poisson random variables are

E(x₁+x₂+……+x_n) = E(x₁) E(x₂) E(x₃) …..E(x_n)

Sum of the independent poisson variate is obtain by

P(X=x)=( e^{-n x1+x2+x3+……+xn})/x_i!

P(X=x)=( e^{-n xi})/x_i!