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Murljashka [212]
3 years ago
15

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

If X has an average value of 21 minutes, what is the probability that X is less than 28 minutes? (Do not round until the final step. Round your answer to 3 decimal places.)
Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0
Sorry I don’t know I’m bad at math lol
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Three signals that beep.
notka56 [123]

Answer:

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

The number of times three signals bee in one hour = 12 times

Step-by-step explanation:

The given parameters are;

The period for each signals beep are;

Signal a beeps every 25 seconds

Signal b beeps every 30 seconds

Signal c beeps every 100 seconds

Therefore, in one hour, signal a will beep 1× 60 × 60/25 = 3600/25 = 144 times

In one hour, signal b will beep 1×60×60/30 = 3600/30 = 120 times

In one hour, signal c will beep 1×60×60/100 = 3600/100 = 36 times

Therefore, we have;

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

From Excel, we can see that the three signals beep the same time at 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, and 3600

The number of times three signals bee in one hour = 12 times

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