Answer:
456 squirrels
Step-by-step explanation:
We have the following formula:
N = M * C / R
Where "N" is the estimated population size, "M" is the number of individuals already tagged, "C" is the total number of those caught the second time regardless of whether or not they are tagged, and "R" is the total number of tagged recaptured individuals.
Now, replacing we have:
N = 114 * 96/24
N = 456
Therefore, there are approximately 456 squirrels in the conservation area.
Answer:
Percentile 5
And if we solve for a we got
Percentile 95
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and
We want to find the percentiles 5 and 95 for this case.
Percentile 5
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We want to find a percentile with 0.95 of the area on the left and 0.05 of the area on the right it's z=-1.64. On this case P(Z<-1.64)=0.05 and P(z>-1.64)=0.05
Using this condition we got:
Replacing we got:
And if we solve for a we got
Percentile 95
And if we solve for a we got
24 divided by 6 equals 4. Each sweet is worth 4p. If you multiply 5 by 4 you get 20, so the answer is 5 sweets cost 20p.