Determining the probability of two events
A fair six-sided die is thrown twice.
a) Consider the following two events: the first throw is a 1, 2, or 3; the first throw is an even number. Find the probability of each of these two events. Are these two events independent?
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What is the probability that in the next hour a total of n service requests will arrive? What is the probability density of service time of an arbitrarily chosen service request ?
Cereal Boxes are sold with prizes inside. There are 3 different prizes possible and they occur with probability 1/2, 1/3 and 1/6. What is the expected number of Cereal Boxes you must buy to get one of each prize?
Constructing confidence Intervals - given the sample mean and the sample standard deviation, use this information to construct the 90% and 95 % confidence interval for the population mean, which interval is wider?
The mean inside the diameter of all washers produced by a machine is 0.502 inches and the standard deviation is 0.005 inches. The Company can only accept washers whose inside diameters are in the range from 0.496 in. to 0.508 in. otherwise the was
Consider the following two events: the first throw is a 1, 2, or 3; the first throw is an even number. Find the probability of each of these two events. Are these two events independent?
If one day 5 of the 14 actually contain illegitimate deductions, find the probability that 2 of them will be selected by the auditor. Also, find the mean and the standard deviation of the number of returns the auditor finds to contain illegitimate
A new medication gives 10% of the users an undesirable reaction. If a sample of 14 users receive the medication, find the probability of:
What quantity would be required for a profit of $2,000? What is the anticipated utilization and what is the anticipated efficiency?
In a study of 500 executives, 315 stated that their company informally monitored social networking sites to stay on top of information related to their company. Construct a 95% confidence interval for the proportion of companies that informally mon
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