Ragnar's bathroom has 148 tiles in it. He found that his kitchen has 7 times as many tiles as his bathroom.
2 answers:
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a.
is a proper joint density function if, over its support, is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require
b. Find the marginal joint density of and
by integrating the joint density with respect to
:
Then
c. This probability can be found by simply integrating the joint density:
If Chisaka does not space walks, the days she spend spacewalking are equal to zero. Since <span>S represents the number of days Chisaka spacewalks, we just need to replace </span>
in our inequality to find how long her food will last if she does not spacewalks:
From this calculation we can infer that the coefficient of N, 1.3, is the amount of food she needs per day if she doesn't spacewalks. Similarly the coefficient of S, 2.2, is the amount of food she need per day if she spacewalks.
We can conclude that Chisaka will need 1.3 kg of food if she doesn't spacewalks, and 2.2 kg of food if she spacewalks.
From this calculation we can infer that the coefficient of N, 1.3, is the amount of food she needs per day if she doesn't spacewalks. Similarly the coefficient of S, 2.2, is the amount of food she need per day if she spacewalks.
We can conclude that Chisaka will need 1.3 kg of food if she doesn't spacewalks, and 2.2 kg of food if she spacewalks.