3. For a particular type of bulb, \(36 \%\) grow into plants with blue flowers and the remainder grow into plants with white flowers. Bulbs are sold in mixed bags of 40
Russell selects a random sample of 5 bags of bulbs.
- Find the probability that fewer than 2 of these bags will contain more bulbs that grow into plants with blue flowers than grow into plants with white flowers.
(4)
Maggie takes a random sample of \(n\) bulbs.
Using a normal approximation, the probability that more than 244 of these \(n\) bulbs will grow into blue flowers is 0.0521 to 4 decimal places. - Find the value of \(n\).
(6)
(Total 10 marks)