Nearest integer and then summed
40 numbers are rounded off to the nearest integer and then summed. If the individual round-off error are uniformly distributed over (-.5, .5) what is the probability that the resultant sum differs from the exact sum by more than 2?
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A fast food outlet claims that the mean waiting time in line is less than 3.7 minutes. A random sample of 20 customers has a mean of 3.5 minutes with a standard deviation of 0.8 minute. if a = 0.05, test the fast food outlet's claim using P- value
At a college, 70% of students are female, and 50 percent of students receive a grade of C. Twenty-five percent are neither female nor C students.Complete a probability matrix and answer the following questions:
A Local school district claims that the number of school days missed by its teachers due to illness is below the national averge of u = 5. A random sample of 28 teachers provided the data below. at a = 0.05, test the district's claim using P-value
Post office models the winodw's service times as unifomrly disributed between 1 and 7 minutes. Compute the total expected hourly cost of this post office window.
A Local school district claims that the number of school days missed by its teachers due to illness is below the national averge of u = 5. A random sample of 40 teachers provided the data below. at a = 0.05, test the district's claim using P-value
Suppose that Z is a random variable with a N(0, 1) distribution. Define a stochastic process via X(t) = (?t)Z, and note that for each t > 0, X(t) has a N(0, t) distribution. Is this Brownian motion?
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