A botanical study conducted in a vast alpine meadow finds that the probability of a specific mountain flower species exhibiting a rare white-petalled phenotype is 0.06.
Determine the probability that in a random sample of 150 such flowers, there are at least 12 that exhibit the white-petalled phenotype.
Find the probability that in a random sample of 25 flowers, there are exactly 2 with the white-petalled phenotype.
Using a suitable approximation, find the probability that in a large-scale survey of 7500 flowers, there are at least 475 with the white-petalled phenotype.
