Abag contains 5 yellow, 6 red, and 4 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of green marbles to each outcome. calculate the expected value of the random variable.

The expected value of the random variable : 0, 1 and 2

Step-by-step explanation:

Number of yellow balls in the bag = 5

Number of red balls in the bag = 6

Number of green balls in the bag = 4

No. of balls needed to be drawn from the bag = 2

A random variable assigns the number of green marbles to each outcome.

So, Expected value of random variable is given by :

No green ball in two draws, so random variable is assigned 0

One green ball in two draws, so random variable is assigned 1

Two green ball in two draws, so random variable is assigned 2

Hence, The expected value of the random variable : 0, 1 and 2

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

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step-by-step explanation:

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