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Question:
A soft drink manufacturer is using a "winning" cap as a sales promotion. The purchaser can get a prize if they buy a bottle that has a "Winner" symbol under the cap. Winning symbol caps are placed randomly on 5% of the bottles.
You buy a six-pack of the soft drink.
a) State the exact probability distribution that applies to this circumstance.
b) What is the probability that you win something? Give clear notation of the probability calculated.
c) What is the Poisson approximation to this distribution? Estimate the probability that you win something using this approximation.
d) Comment on the results of the two calculations.
In 2006, the Florida poll conducted by Florida International University asked whether current environmental regulations are too strict or not too strict. Of 1200 respondents. 229 said they were too strict. Find and interpret a (a) 95%. (b) 99% con..
For a normal distribution,
The price of XYZ Corporation stock is normally distributed all through the year with mean of $42.00 per share and a standard deviation of $2.25 per share. Suppose that the stock is traded 240 days out of the year.
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Suppose that x is normally distributed with a mean of 50 and a standard deviation of 15. What is P(34.55 ≤ x ≤ 72.95)?
Find the expected value of the number of tests taken.
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If the Sum of Squares for Treatments (SST) is 10% of SS(Total), and the Sum of Squares for Blocks (SSB) is 20% of SS (Total), find the F values for this experiment.
Severity of pain is influenced by the timing of pain interventions in sickle-cell crises and immediate intervention is better than either slightly delayed intervention or initiation at crisis stage.
Construct a 95% confidence intervalfor the population proportion of positive drug tests. Why is the normality assumption not a problem despite the very small value of p?
A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person from the list until a sample of 100 is obtained.
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