Answer to Question #161598 in Statistics and Probability for divya

Question

Phase 1.

1.Imagine that a wetland you are studying has a population of

5000 frogs, including bullfrogs, spring peepers, and mink frogs.

The populations of the three species are shown below

percentage of total marsh population Gender ratio

bullfrogs (30%) Males(60%) female (40%)

spring pepper (50%) Males(55%)Female(45%)

mink frog (20%) Males(52%)female (48%)

Determine the probability that the first two frogs captured are

(a) bullfrogs

(b) female bullfrogs

(c) females of any species

(d) frogs that are not spring peepers

2 (a) Design and describe a simulation that will allow you to construct

a probability distribution for the number of bullfrogs in

a sample of 30 frogs. Use it to predict the probability that the

sample will have eight or more bullfrogs.

(b) Compute the theoretical probability distribution for the

number of bullfrogs in the sample, and then compare your

simulation results with the predicted theoretical values.

(c) Design and describe a simulation that will allow you to

construct a probability distribution for the number of female

frogs of each species in a sample of 30 frogs. Use it to

predict the probability that the sample will have eight or

more females.

(d) Compute the theoretical probability distribution for the

number of females in the sample, and then compare your

simulation results with the predicted theoretical values.

In phase 2 of your study, suppose you capture 100 frogs

species number in sample

bullfrog 35

spring pepper 50

mink frog 15

Design a simulation to determine whether or not the distribution in

your sample indicates that the number of mink frogs is seriously

reduced relative to the number of spring peepers

Answer 1

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