# Question: The manager of a gas station has observed that the

The manager of a gas station has observed that the times required by drivers to fill their car’s tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 7.5 minutes. What is the probability that a car can complete the transaction in less than 5 minutes?

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Because automatic banking machine (ABM) customers can perform a number of transactions, the times to complete them can be quite variable. A banking consultant has noted that the times are exponentially distributed with a ...Use a computer to find the following values of t.a. t.05, 143b. t.01, 12c. t.025, ∞d. t.05, 100Use a computer to find the following probabilities.a. P(χ273 > 80)b. P(χ2200 > 125)c. P(χ288 > 60)d. P(χ21000 > 450)The random variable X is exponentially distributed with λ = 3. Sketch the graph of the distribution of X by plotting and connecting the points representing f(x) for x = 0, .5, 1, 1.5, and 2.a. Calculate the finite population correction factor when the population size is N = 1,000 and the sample size is n = 100.b. Repeat part (a) when N = 3,000.c. Repeat part (a) when N = 5,000.d. What have you learned about the ...Post your question