# probability distribution

• Apr 11th 2008, 09:34 AM
ardsuggy
probability distribution
i have been given this question

A whole saler buys items at £35 each. the whole saler sells these in batches of 7 to retailers at £54 per item. It is Known that, on average, 16 items in a thousand are faulty.

(a) Construct the probability distribution table for the number of faulty items in a batch of 7 items. all probability values must be rounded off to 5 decimal places.

• Apr 11th 2008, 01:31 PM
Sean12345
$X = "Faulty~Items"$
$X \sim B(7,0.016)$

Now construct a table using the formula;
$^nC_r~\cdot~(1-p)^{n-r}~\cdot~p^r$

With;
$0,~P(X=0)$
$1,~P(X=1)$
$2,~P(X=2)$

Up to $7$.