Answer:
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Step-by-step explanation:
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Hello:
<span>f(x)=12-3x
</span>f(-4) = 12-3(-4) = 24
f(-2) = 12-3(-2) = 18
f(0) =12-3(0) = 12
f(2) = 12-3(2) = 6
f(4) =12-3(4) = 0
the range is : {0,6,12,18,24}
You would use the pythagorean theorem to solve this equation: a^2 + b^2 = c^2
12^2 + b^2 = 20^2
b^2 = 16
x = 16
Answer:
a. P(X = 2) = 0.2
b. P(X = 3) = 0.3
c. P(X > 2.5) = 0.7
d. P(X = 1) = 0.1
e. Mean = 3
f. Variance = 1
Step-by-step explanation:
As given,
Probability mass function (pmf) =
Now,
a. P(X = 2) = = 0.2
b. P(X = 3) = = 0.3
c. P(X > 2.5) = P(X = 3) + P(X = 4) = = 0.3 + 0.4 = 0.7
d. P(X = 1) = = 0.1
e. Mean = E(X) = = 0.1 + 0.4 + 0.9 + 1.6 = 3
f. Variance = E(X²) - [ E(X) ]² = - [3]²
= 0.1 + 0.8 + 2.7 + 6.4 - 9
= 10 - 9 = 1
∴ we get
a. P(X = 2) = 0.2
b. P(X = 3) = 0.3
c. P(X > 2.5) = 0.7
d. P(X = 1) = 0.1
e. Mean = 3
f. Variance = 1