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A ___________ probability is the probability that an event occurs given that another event has already occurred
A real estate agent has four houses to sell before the end of the month by contacting prospective customers one by one.
If P is a normally distributed random variable with a mean of 50 and a standard deviation of 2, what is the probability that P is between 47 and 54?
An auto supply store uses a fixed order size with safety stock system to control the inventory of a type of motor oil it sells.
Let G be the event that a girl is born. Let F be the event that a baby over 5 pounds is born. Characterized the union and the intersection of the two events?
For any random variable x with mean equal to µ and variance equal to ?². The minimum probability of X belong to the interval X?[ µ-k, µ+k] is at least:
The Poisson distribution is given by the following
A six-sided die is tossed 3 times. The probability of observing three ones in a row is
The mean selling price of new homes in a city in 2010 was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales
Consider a random variable, z, that has a standardized normal distribution. Determine the following probabilities:
For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x.
An automobile dealer sells two brands of new cars. One, C, is primarily American in original; the other, G, is primarily Japanese.
In a simple random sample of 1000 households, 150 households happen to own a barbecue grill. Based on the characteristics of the population
If X1,X2,..., Xn, are (iid) , from a distribution with mean µ and variance s2. Define the sample mean as
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean
A discrete random variable can have the values x =3 x=8, or x=10, and the respective probabilities are 0.2, 0.7, and 0.1. Determine the mean, variance
A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested
Find the mean and standard deviation of the following probability distribution:
A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work:
A gardner plants 12 flowers. It is perdicted that on an average, 15% of the flowers planted will die during the first winter
Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up.
About 8% of the populaiton are hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic?
For the following problems, determine whether a probability distribution is given. In those cases where a probability distribution
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