probabilities in wolf population

Statistics
Tutor: None Selected Time limit: 1 Day

Feb 27th, 2015

a) For the first question, we're looking at the cumulative probability from a binomial distribution: For example you can use 1-binom.dist(x-1,trials,p,1) in Excel, where x is the minimum number of male wolves (6) and p is the probability of each wolf being male (0.6). Since the total probability of 6+ male wolves out of 9 is 1 minus the probability of 5 male wolves or fewer, we can get this by 1-binom.dist(5,9,0.6,1) = 0.483.

For the second, similarly, we have 1-binom.dist(5,9,0.4,1) = 0.099 (the only difference is that p =0.4 for this question).

To find fewer than three, you can find the cumulative probability up to 2, i.e. binom.dist(2,9,0.4,1) = 0.232. Note we don't need the 1- at the beginning since we're now measuring the area of the distribution from 0 to 2 (fewer than 3 wolves).

b) These are identical questions, but with the probabilities slightly changed. Now we get 0.609, 0.054 and 0.337 respectively. This makes sense - the probability of lots of males increases, while the probability of lots of females decreases, because the individual probabilities for each have shifted towards males.

Feb 27th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Feb 27th, 2015
...
Feb 27th, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer