Answer:
Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Dete
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Probability is calculated by comparing the odds to a certain event occurring to the number of possible events.
P=
For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
2
3
4
5
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2
P=
For example, take a six-sided dice number 1-6 on each side. The probability of rolling a 4 would be1 in 6 or 1/6. This is because of the six possible outcomes, rolling a 4 is only one of them.
P(4)=1/6
Now take the same dice. The probability of rolling an even number is 3/6. To see why, lets look at the total possible outcomes:
1
2
3
4
5
6
Of the 6 possibilities, 3 are even numbers.
P(even)=3/6 or 1/2