Why are light bulbs in New Year's Christmas trees usually switched on sequentially?

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genius_generous answered 1 month ago

A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You...

A box contains 100 Christmas light bulbs -- 40 green, 35 red and 25 blue. You randomly select two bulbs from the box with replacement. The outcome of interest is the colour of each of the two selected light bulbs. (a) List the complete sample space of outcomes. (1 mark) (b) What is the probability that the two selected bulbs are the same colour? (1 mark) (c) What is the probability that the first selected bulb is green or that...

A metallurgist has invented a new tungsten alloy for use in the filaments of light bulbs...

A metallurgist has invented a new tungsten alloy for use in the filaments of light bulbs that is supposed to burn brighter with the use of less energy. A company investigates the potential costs of producing the new type of bulb and decides that production would be economically feasible if the bulbs would last an average of longer than 2000 hours in continuous usage. Twenty-five of the new bulbs are tested and found to last an average of 2240 hours...

A company manufacturing light bulbs is testing a new model. The company claims that the mean...

A company manufacturing light bulbs is testing a new model. The company claims that the mean life time is less than 1000 hours. A sample of 16 light bulbs are found to have sample mean of 987.5 hours and a sample variance of 400. (a) Test this claim at the significance level α = 0.02. Step 1: Step 2: Step 3: Step 4: Step 5: (b) Is there any assumption needed to solve this question? if yes please state the...

A new LED light to replace incandescent bulbs has come on the market. The box says...

A new LED light to replace incandescent bulbs has come on the market. The box says it has an average life of 9,000 hours with a standard deviation of 300 hours. a) What is the probability that a single bulb will last between 8950 and 9100 hours? b) What is the probability that the mean of a sample of 70 bulbs picked at random will be between 8950 and 9100 hours?

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