6. The probability that a sunflower plant grows over 1.5 metres high is 0.25 . A random sample of 40 sunflower plants is taken and each sunflower plant is measured and its height recorded.
- Find the probability that the number of sunflower plants over 1.5 m high is between 8 and 13 (inclusive) using
- a Poisson approximation,
- a Normal approximation.
- Write down which of the approximations used in part (a) is the most accurate estimate of the probability. You must give a reason for your answer.