# Distribution, sampling ,and statistical inference

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Please answer all questions based on the data provided below and ‘Dataset1’. If you cannot answer the question due to
‘NA’. Do not change the formatting of the yellow cells. Round to four digits after decimal.
Sophie Johnson, CFO of Neonte, suspects irregularities in the payroll system, and orders an inspection of a random sa
year. A sample of ten vouchers is randomly selected, without replacement, from the population of 1800 vouchers. Ea
1)
examined for errors and the number of vouchers in the sample with errors is denoted by x. If 17% of the population o
= 0) is:
2)
During a recent sporting event, a quarter is tossed to determine which team picks the starting side. Suppose the refer
tossed 5 times and the best 3 out of five wins. If team A calls ‘heads’, what is the probability that exactly 3 heads are
3) If x is a binomial random variable with n=11 and p=0.7, what is the probability that x is equal to 4?
4)
Suppose that the number of calls coming per minute into an hotel reservation center follows a Poisson distribution. A
calls per minute. Determine the probability that at least two calls are received in a given two-minute period.
5)
If x, the time (in minutes) to complete an change job at certain auto service station, is uniformly distributed over the
probability that an oil change job is completed in 33 to 35 minutes is:

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