Assume X is normally distributed with a mean of 10 and a standard deviation of 5

Question

Assume X is normally distributed with a mean of 10 and a standard deviation of 5. Determine the following P(X LE 15) P(X GE 12) P(9 LE X LE 20) P(5 LE X LE 15) The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. What is the probability that you wait longer than one hour for a taxi? Suppose you have already been wailing for one hour for a taxi, what is the probability that one arrives within the next 10 minutes?( you can use the memory-less property of exponential distribution)

Explanation / Answer

Assume X is normally distributed with a mean of 10 and a standard deviation of 5

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