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We have been given two inequalities and
. We are asked to find the integers that satisfy both inequalities.
Let us solve for our 1st inequality.
Upon combining our both inequalities, we will get:
This means that solution of our inequalities is x values greater than and less than
.
We know that integers between and
are:
.
Therefore, our solution would be .
The function that could be a stretch of the exponential decay function shown on the graph is B. f(x) = One-half(6)x.
<h3>How to illustrate the function?</h3>From the information given, it can be seen that function A is a monotonically increasing function.
Also, it can be seen that C and D don't pass through (0, 1).
Therefore, the function could be a stretch of the exponential decay function shown on the graph is B.
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Answer:
The probability function of X and Y is
With k in {1,2,3,4,5,6}
Step-by-step explanation:
We can naturally assume that X and Y are independent. Because of that, P(X=a, Y=b) = P(X=a) * P(Y=b) for any a, b.
Note that, since the die is honest, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. We can conclude as a consequence that P(X=k, Y=l) = P(Y=l)/6 for any k in {1,2,3,4,5,6}.
Y has a binomial distribution, with parameters n = 3, p = 1/2. Y has range {0,1,2,3}. Lets compute the probability mass function of Y:
Thus, we can conclude that the joint probability function is given by the following formula
For any k in {0,1,2,3,4,5,6}