Answer:
a. answer to a can be found in the attached file
b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=
0.24+0.06+0.05 = 0.35
c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07
Step-by-step explanation:
"A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium-quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. a. Draw a probability tree to determine the probabilities of survival under all possible circumstances. b. What is the probability of survival of the seed, assuming that it lands"c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
a. Find the probability tree as attached below
b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=
0.24+0.06+0.05 = 0.35
c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?
Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07
If 100 cats killed 100 mice in 100 days, you can say that each cat killed one mouse the day after the last cat. So, if four cats killed four mice, and we're going of off the same basis that each cat killed one mouse the day after the last cat, then the answer would be 4.
Answer:
x=1/2 y =1
Step-by-step explanation:
(-4x+2y)/2x5=0/2x5
10x+3y=8
(-2x+y)x5=0
10x+3y=8
-10x+5y=0
10x+3y=8
8y=8
y=1
x=1/2
Answer:
price = x * 0.2
or
price = x * 0.454 * 0.2
Step-by-step explanation:
In this case we must know either the mass of the cake or its volume.
Given the case that we know the mass of the cake, it would be:
price = x * 0.2
where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:
price = 10 * 0.2 = 2
which means that each cake costs $ 2
Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.
price = x * 0.454 * 0.2
where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:
price = 10 * 0.454 * 0.2 = 0.908
which means that each cake costs $ 0.9
