Answer:
0.28
Step-by-step explanation:
High-quality soil gives seed: 0.8 chance of survival
Medium-quality soil gives seed : 0.3 chance of survival
Low-quality soil gives seed: 0.1 chance of survival
Proportions/frequency of soils:
High-quality soil = 30% = 0.3
Medium-quality soil = 20% = 0.2
Low-quality soil = 50% = 0.5
probability of a seed landing on a particular soil type ∝ frequency of that type in the habitat
probability that a seed dies before landing = 0.2
A) The overall probability of seed survival
first we have to determine the probability of seed survival if it lands
= ∑ (frequency of soil * chance of seed survival)
= (0.8 * 0.3) + ( 0.3 * 0.2 ) + ( 0.1 * 0.5 ) = 0.35
hence overall probability of seed survival
= ( 1 - 0.2 ) * 0.35 = 0.28