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Lighbulbs are sold in watt-equivelents of brightness from the old days when all

ID: 1998526 • Letter: L

Question

Lighbulbs are sold in watt-equivelents of brightness from the old days when all bulbs had filiments (pre CFL and LED). The higher the watt-equivlent the brighter the bulb. A company makes several different bulbs with different watt-equivelents. The probability of each bulb being sold is in the graph below:

Part A - Reading the graph - I

What is the probability of a 100W-equivelent bulb being purchased?

Enter a probability between 0 and 1

Part B - Reading the graph - II

What is the probability of a 40W-equivelent bulb being purchased?

Enter a probability between 0 and 1

Part C - Reading the graph - III

What is the probability of a 200W-equivelent bulb being purchased?

Enter a probability between 0 and 1

Part D - Mean

What is the average watt-equivlence for all bulbs sold?

Part E - Using

What is the probability of a given bulb being greater than, but not equal to, 100W-equivelent?

Enter as a probability between 0 and 1

0.5 0.45 -S 0.4 0.35 60 0.3 0.25 0.2 0.15 0.1 o 0.05 40W 90W 100W 150W Watt Equivelent 200W

Explanation / Answer

A) The probability is 0.45 for a 100 W bulb to be purchased.

B) The probability is 0.3 for a 40 W bulb to be purchased.

C) The probability is 0.05 for a 200 W bulb to be purchased.

D) average watt equivalence = 40*0.3 + 90*0.1 + 100*0.45     + 150*0.1 + 200*0.05   = 91 W

E) A bulb higher than 100 W can be a bulb of 150 W or 200 W. Therefore the probability is 0.1 + 0.05 = 0.15 for a bulb being greater than 100 W.

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