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Suppose you have a class from 8:30-9:30 and another class from 9:30 to 10:30. Assuming you...

Suppose you have a class from 8:30-9:30 and another class from 9:30 to 10:30. Assuming you arrive to school at 8:30 with zero text messages on your cell phone and you receive 6 texts every 45 minutes on average find the following probabilities:

a) What is the probability that you receive at least 3 texts during your first class from 8:30-9:30?

b) What is the probability that you receive exactly 3 texts during your first class from 8:30-9:30 and exactly 3 texts during your second class from 9:30-10:30?

Math   Statistics-And-Probability   
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Answer #1

Let X is a random variable shows the numebr of text messages in an hour. Since average number of messages per 45 minutes is 6 so number of messages per hour is

(a)

The probability that you receive at least 3 texts during your first class from 8:30-9:30 is

(b)

The probability that you receive exactly 3 texts during your first class from 8:30-9:30 is

The probability that you receive exactly 3 texts during your first class from 9:30-10:30 is

The probability that you receive exactly 3 texts during your first class from 8:30-9:30 and exactly 3 texts during your second class from 9:30-10:30 is

0.02863 * 0.02863 = 0.0008196769

Answer: 0.0008

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