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Question: A box contains four tickets, numbered 0, 1, 1, and 2. Let Sn be the sum of the numbers obtained from n draws at random with replacement from the box.
a) Display the distribution of S2 in a suitable table.
b) Find P(S50 = 50) approximately.
c) Find an exact formula for P(Sn = k) (k = 0, 1, 2, . . ).
Before marketing new products nationally, companies often test them on samples of potential customers. Such tests have a known reliability.
Look at the shape of the binomial distribution for various combinations of n and p. Speci?cally, let n = 5 and try p = 0.2, 0.5, and 0.8. Repeat the same for other values of n. Can you say something about how the skewness of the distribution is affec..
The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age in the sample was 22.5 years with a standard deviation of 5 years.
Gerry is shopping for a new car and sees a gorgeous Porsche 911 sitting outside the dealership. "I would love to buy that!" he thinks, but after seeing.
A rectangular field has to be formed with a given total fence length of P meter of fence material. Find the dimensions of the rectangle which will maximize the fenced area.
a. How do you tell if a random variable has a binomial distribution? b. What is a binomial proportion? c. What are n, p, X, and p?
One man can fix a machine in four hours and two men working together can fix a machine in three hours. The total maintenance cost (including downtime cost) in the case of two repairmen on duty is:
Name recognition. A political candidate runs a weeklong series of TV ads designed to attract public attention to his campaign.
Give the standard deviation of the random variable associated with this experiment.
during a national debate on changes to health care a cable news service performs an opinion poll of 610 small-business
Calculate the volume of water using the ideal gas model under the following conditions. Then report the percent error when compared to the values reported in the steam tables.
a sports league is making up their season schedule. the league has 12 teams with eight teams from la and the rest from
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