The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
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Answer:
56 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.
sin(30°) = (28 ft)/hypotenuse
hypotenuse = (28 ft)/sin(30°) = 56 ft
The length of the escalator is 56 feet.
The 8 is a, the 3 is b and -45 is c
Plug them into the quadratic formula
