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yawa3891 [41]
3 years ago
14

A lightbulb is installed. With probability 1/3 , it burns out immediately when it is first installed. With probability 2/3 , it

burns out after an amount of time that is uniformly distributed on [0,3] . The expected value of the time until the lightbulb burns out is________
Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

1 time unit

Step-by-step explanation:

There is a 1 in 3 chance that the time until the bulb burns out is zero, and a 2 in 3 chance that the time is the average between 0 and 3 (since it is uniformly distributed). Therefore, the expected value for the time until it burns is:

E(x) = \frac{1}{3}*0+\frac{2}{3} *\frac{0+3}{2}\\ E(X) = 1

The expected value of the time until the lightbulb burns out is 1 time unit.

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tia_tia [17]
2,700 / 12 = 225
225 / 5 = 45
They can make 45 necklaces.








3 0
3 years ago
Evaluate the expression 2b ^3+5 when b=3
pochemuha

Answer:

59

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

3 0
3 years ago
Find the equation of the line perpendicular to y = -2x + 6 that goes through (2, 10).
neonofarm [45]
If the line is perpendicular, then its slope is the reciprocal of the given line's slope. This new line's slope is 1/2. We plug it into slope-intercept form

y = 1/2x + b

Now plug in the given point of (2, 10) and solve for b. 

10 = 1/2(2) + b
10 = 1 + b
9 = b

So your equation is y = 1/2x + 9
7 0
3 years ago
A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?
bagirrra123 [75]
So we got the real axis and the imaginary axis
we just need to find the average of the 2 points

remember
midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)
so

average of 3 and -8 is -5/2
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3 0
3 years ago
Read 2 more answers
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores:
Bumek [7]

Answer:

Darius is correct if only the median score is considered.

Step-by-step explanation:

Darius scores are; 96, 54,120, 87, 123

arrange the scores in increasing order;

54,87,96,120,123

mean = (54+87+96+120+123)/5 =480/5 =96

median =96

Barb's scores are  92,94,96,98,110

mean=(92,94,96,98,110)/5 =490/5=98

median score=96

⇒if the median score only is considered; then it is a tie because the score is 96 in both players.

8 0
3 years ago
Read 2 more answers
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