Determining the discrete sample space
A coin is flipped until 3 heads in succession occur. List only those elements of the sample space that require 6 or less tosses. Is this a discrete sample space? Explain.
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A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of; 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a
In the telephone survey technique introduced in exercise 6.5, what is the probability of two or fewer successful calls in eight attempts?
A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find
Six 9 volt batteries are put on accelerated test until they fail. An application calls for a battery life of at least 15 hours. Calculate the mean and standard deviation.
Find the probability that in a given box the cordials account for more than 1/2 of the weight. Find the marginal density for the weight of the creams.
A coefficient of determination of 0.9 shows that 10% of variation in the dependent variable is caused by change in the independent variable.' Is this true?
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. Which sampling distribution would you use if random samples of 10 bottles are to be weighed? Why?
How would you find the probability that one of several mutually exclusive events occurs?
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