Question

Conditional probability.

In an experiment with species A. pub and A. ali. Fungus could infect seeds of the two types of species, and at different rates. Species A. pub has fungus 25% of the time, while A.ali has fungus 50% of the time. Then randomly a subject selects a seed of one species.

1.What is the probability that it has the fungus.

a.Calculate this using a probability tree

b. Calculate with the law of total probability. Write that equation.

c. What is the probability that it has the fung. and the seed is the species A. pub.

d. Then, Calculate by doing a probability tree.

e. Then use the general multiplication rule can be used to calculate. Write that equation

f. What is the probability that it is infected given that it is A. pub?

Pr[infected|A. pub]=

Answer 1

has fungun us 2. 4 4 ラズ

4 3 3 2 416 32 16 /2 ay on め FCB heor