Answer:
The PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Step-by-step explanation:
Let x denote P(B=1), we know that
P(B=0) = 1-0.3 = 0.7
P(B=1) = x
P(B=2) = x/2
P(B=3) = x/4
P(B=4) = x/8
Also, the probabilities should sum 1, thus
0.7+x+x/2+x/4+x/8 = 1
15x/8 = 0.3
x = 0.16
As a result, the PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
The expression that's always true is that D. a+c > b+d.
<h3>How to illustrate the information?</h3>
From the information given, it should be noted that we are told that a is less than b and c is less than d.
We are also informed that all the variables that are given are less than 0. Let's say a = -1, b = -2, c = -3 and d = -4.
Therefore, the expression that's always true is that. a+c > b+d. This will be:
= (-1 - 2) > (-3 - 4)
= -3 > -7
Based on the information given, the expression that is true is a+c > b+d.
Therefore, the correct option will be D.
Learn more about expressions on:
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Answer: The cost equation is:
C(x) = $25 + $55*x
Step-by-step explanation:
I suppose that you want to find the equation for this situation.
We know that the price is $60 per hour, plus a single deposit of $25.
Then if Alicia rents the ski for x hours, the cost will be:
C(x) = $25 + $60*x
But she also has a discount of $5 per hour, then if she uses the coupon the total cost for x hours will be:
C(x) = $25 + $60*x - $5*x
C(x) = $25 + $55*x