which of the following probability distributions is a random variable? a) X=x 0 2 3 4 5 P(X=x) 0.15 0.15 0.2 0.25 0.15 b) X=x 0 1 2 3 4 P(X=x) 1/16 4/16 6/16 4/16 1/16 c) X=x -2 0 2 3 4 P(X=x) 0.15 0.2 0.25 0.25 0.15 d) X=x -3 -1 1 4 8 P(X=x) 0.4 -0.1 0.25 0.3 0.35 onsider the random variable X with probability distribution given in the table below X= x -1 1 2 3 5 6 P(X = x) 0.2 p(1) p(2) p(3) 0.2 p(6) Find the values for the missing probabilities for the outcomes X = 1, 2, 3, and 6 You are given the following relations between the unknown probabilities. The two least likely outcomes are X=1 and X=6, and these have the same probability. ( p(1) = p(6) ) The outcome X=3 is four times as likely as X=1 ( p(3) = 4* p(1) ) The outcome X=2 is six times as likely as X=1 ( p(2) = 6* p(1) ) Find the probability distribution for the random variable There is a package containing 16 resistors, of which 12 ard good and 4 are defective. We select a group of 3 of the resistors at random. The random variable X represents the number of defective resistors selected. Find the probability distribution for X. Also sketch a graph of the histogram representing this probability distribution. Random variable Expected value , variance , and standard deviation a) For the following random variable X, find the expected value , variance , and standard deviation X=x 0 1 2 3 4 P(X=x) 1/16 4/16 6/16 4/16 1/16 b) For the following random variable X, find the expected value , variance , and standard deviation X=x -2 0 2 4 6 P(X=x) 0.15 0.15 0..2 0.25 0.25
which of the following probability distributions is a random variable?
a)
| X=x | 0 | 2 | 3 | 4 | 5 |
| P(X=x) | 0.15 | 0.15 | 0.2 | 0.25 | 0.15 |
b)
| X=x | 0 | 1 | 2 | 3 | 4 |
| P(X=x) | 1/16 | 4/16 | 6/16 | 4/16 | 1/16 |
c)
| X=x | -2 | 0 | 2 | 3 | 4 |
| P(X=x) | 0.15 | 0.2 | 0.25 | 0.25 | 0.15 |
d)
| X=x | -3 | -1 | 1 | 4 | 8 |
| P(X=x) | 0.4 | -0.1 | 0.25 | 0.3 | 0.35 |
onsider the random variable X with probability distribution given in the table below
| X= x | -1 | 1 | 2 | 3 | 5 | 6 |
| P(X = x) | 0.2 | p(1) | p(2) | p(3) | 0.2 | p(6) |
Find the values for the missing probabilities for the outcomes X = 1, 2, 3, and 6
You are given the following relations between the unknown probabilities.
The two least likely outcomes are X=1 and X=6, and these have the same probability.
( p(1) = p(6) )
The outcome X=3 is four times as likely as X=1
( p(3) = 4* p(1) )
The outcome X=2 is six times as likely as X=1
( p(2) = 6* p(1) )
Find the probability distribution for the random variable
There is a package containing 16 resistors, of which 12 ard good and 4 are defective.
We select a group of 3 of the resistors at random.
The random variable X represents the number of defective resistors selected.
Find the probability distribution for X. Also sketch a graph of the histogram representing this probability distribution.
Random variable
a) For the following random variable X, find the expected value , variance , and standard deviation
| X=x | 0 | 1 | 2 | 3 | 4 |
| P(X=x) | 1/16 | 4/16 | 6/16 | 4/16 | 1/16 |
b) For the following random variable X, find the expected value , variance , and standard deviation
| X=x | -2 | 0 | 2 | 4 | 6 |
| P(X=x) | 0.15 | 0.15 | 0..2 | 0.25 | 0.25 |
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