Binomial distribution

Question code: 3W38o

Question 2401

In a lucky draw with a large number of entries, 45% of entries win a small prize and 0.69% of entries win a large prize.

(i)

Find the probability that, in a random sample of 10 entries, at most less than 9 win a small prize.

(ii)

A random sample of 1000 entries is taken. Find the probability that

(a)

between 440 and 470 (both inclusive) of these entries win a small prize,

(b)

at least 6 but fewer than 9 of these entries win a large prize.

Answer

(i)

0.995.

(ii)

(a)

0.651.

(b)

0.430.

Question code: 3W38o