The probability density of a random variable X is given in the figure below. From this density, the probability that X > 1.18 or X < 0.12 is:

0.47

Step-by-step explanation:

First, find P(X > 1.18).

(2 − 0) / 1 = (2 − 1.18) / x

2x = 0.82

x = 0.41

Next, find P(X < 0.12).

(2 − 0) / 1 = (0.12 − 0) / x

2x = 0.12

x = 0.06

So the total probability is 0.41 + 0.06 = 0.47.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b