An agricultural scientist is researching a rare hybrid orchid. The probability that a single seed of this orchid will successfully germinate in specific soil conditions is 0.35. A random batch of 60 seeds is planted. Let the random variable $S$ represent the number of seeds in the batch that successfully germinate.

Determine (i) $P (S = 25)$ (ii) $P (S < 20)$ (iii) the smallest value of $k$ such that $\le k) > 0.85$

A much larger random sample of 800 seeds is planted in the same soil conditions.

(i) Using a suitable normal approximation, find the probability that no more than 260 of these 800 seeds germinate. (ii) Justify why a normal approximation is appropriate in part (b)(i).

Determine (i) $P (S = 25)$ (ii) $P (S < 20)$ (iii) the smallest value of $k$ such that $\le k) > 0.85$

A much larger random sample of 800 seeds is planted in the same soil conditions.

(i) Using a suitable normal approximation, find the probability that no more than 260 of these 800 seeds germinate. (ii) Justify why a normal approximation is appropriate in part (b)(i).

2.4.13 Model with probability distributions

Question 9

Markscheme

2.4.13 Model with probability distributions

Question 9

Markscheme

2.4.13 Model with probability distributions

Question 9

2.4.13 Model with probability distributions Questions

2.4.13 Model with probability distributions

Question 9

2.4.13 Model with probability distributions Questions