Awater well is being drilled in the desert where soil is either rock, clay, or sand. probability of rock p(r) = 0.42, probability of clay p(c) = 0.34, and probability of sand p(s) =0.24. a geological test gives positive results with 40% accuracy in rock, 50% accuracy with clay, and 80% accuracy in sand. given the test is positive, what is the probability that the soil is rock, p(rock|positive)? use bayes’ rule.

Atype of plant is introduced into an ecosystem and quickly begins to take over. a scientist counts the number of plants after mmonths and develops the equation p(m)= 19.3(1.089)^m to model the situation. most recently, the scientist counted 138 plants.assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants werefirst introduced? a)o 6.1b)0.6.6c)10 72d)o 23.1