1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun
1 answer:
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Answer:
The area of the searched region is
Step-by-step explanation:
If you want to find the area of a region bounded by functions f(x) and G(x) between two limits (a,b), you have to do a double integral. you must first know which of the functions is greater than the other for the entire domain.
In this case, for 0<x<1, f(x)<g(x)
while for 1<x, g(x)<f(x).
Therefore if our domain is all real numbers superior to 0 (where the limit 0<a<1 and 1<b), we have to do 2 integrals:
A=A(a<x<1)+A(1<x<b)
Each die has 6 possible outcomes (the numbers from 1 to 6).
If we roll two dices, the total number of outcomes is 6 * 6 = 36.
From these outcomes, the ones that have a sum of 4 are:
(1, 3), (2, 2) and (3, 1).
So, if we have 3 wanted outcomes from a total of 36, the probability is:
Therefore the correct option is the second one.