Based on the payoffs and the probabilities given, we can calculate the mean to be <u>0.8 shots made. </u>
<h3>What is the mean?</h3>The mean in this scenario will be a weighted average of the probabilities that a number of shots will be made.
The mean will be:
<em>= ∑ (Number of shots x Probability of number of shots)</em>
= (0 x 0.36) + (1 x 0.48) + (2 x 0.16)
= 0.8 shots
In conclusion, the mean is 0.8 shots.
Find out more about weighted average at brainly.com/question/18554478.
The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>The equation of the ellipse is given as:
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
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