Final answer:
The question requires calculating the expected value of blueberries per bush, but more information is needed to determine the probability of each outcome. An analogy with flower colors and genetic structure is provided, suggesting expected counts for each genotype if the Hardy-Weinberg equilibrium is assumed.
Step-by-step explanation:
The question deals with calculating the expected value of a random variable X, which represents the number of blueberries on a randomly chosen blueberry bush. To find the expected value, we sum the products of each outcome (number of blueberries) by its associated probability (frequency of that outcome). In this problem, we calculate it by taking the sum of each unique number of blueberries (243, 268, 818, 847) multiplied by the probability of picking a bush with that number of blueberries. However, without more information, we cannot calculate the expected value as we do not have the total number of bushes to determine each case's probability.
If we were to take a similar scenario with flowers to determine the population's genetic structure based on observed counts, for example, counting 600 blue flowers and 200 red flowers, we could expect 300 homozygous dominant, 300 heterozygous blue flowers, and 200 homozygous recessive red flowers, if we assume Hardy-Weinberg equilibrium.