Suppose a geyser has a mean time between eruptions of 91 minutes91 minutes. if the interval of time between the eruptions is normally distributed with standard deviation 28 minutes28 minutes, answer the following questions. (a) what is the probability that a randomly selected time interval between eruptions is longer than 103103 minutes?

0.3341  is the probability that a randomly selected time interval between eruptions is longer than 103 minutes.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 91 minutes

Standard Deviation, σ = 28 minutes

We are given that the distribution of  time between the eruptions is a bell shaped distribution that is a normal distribution.

Formula:

a) P( time interval between eruptions is longer than 103 minutes)

P(x > 103)

Calculation the value from standard normal z table, we have,  

0.3341  is the probability that a randomly selected time interval between eruptions is longer than 103 minutes.