Forty-five percent of the adults in a particularly large city are women. A court is to randomly
Question:
Forty-five percent of the adults in a particularly large city are women. A court is to randomly select a jury of 12 adults from the population of all adults of the city
(a) Find the probability that none of the 12 jurors are a women
(b) Find the probability that at most 4 of the 12 jurors are women
A mail-order company receives an average of 40 orders per day.
(i) Find the probability that it will receive exactly 55 orders on a certain day.
(ii) Find the probability that it will receive at most 29 orders on a certain day.
Assume that the distribution of time spent on leisure activities by certain employed adults living in households with no children younger than 18 is normally distributed with a mean of 4.4 hours per day and a standard deviation of 1.08 hours per day.
Find the probability that the amount of time spent on leisure activities per day for a randomly selected person from the population of interest is
(a) More than 7.2 hours per day
(b) 4.2 to 6.5 hours per day
(c) Less than 6 hours per day
(d) More than 24 hours per day
(e) How much time must be spent on leisure activity by an employed adult living in a household with no children younger than 18 years to be in the group of such adults who spend the highest 3.5% of the time in a day in such activities
Create 150 samples, each containing the result of 35 numbers from 1 through 100. Calculate the means of these 100 samples. Construct the Histogram and calculate the mean and standard deviation of these sample means.
A particular industrial product has shipped in lots of 20. Testing to determine whether an item is defective is costly; hence the manufacturer samples production rather than using a 100% inspection plan. A sampling plan constructed to minimize the number of defectives shipped to customers calls for sampling fine items from each lot and rejecting the lot if more than one defect is observed.
(a) What is the probability that the lot will be rejected
(b) What is the probability that the lost will not be rejected
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