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Problem 1:
Given a binomial random variable with n=10 and p= .3, use the formula to find the following probabilities:
a) P(X = 3)
b) P(X = 5)
c) P(X= 8)
Problem 2:
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of all voters are Independent. A survey asked 25 people to identify themselves as Democrat, Republican, or Independent:
a) What is the probability that none of the people are Independent?
b) What is the probability that fewer than five people are independent?
c) What is the probability that more than two people are Independent?
Using the high-low method, calculate the total fixed factory overhead cost and the variable factory overhead cost per direct labor hour.
Using the empirical rule, what is the approximate percentage of women between 156cm and 166cm? Using Chebyshev's Theorem, at least what percentage of women are between 149cm and 173cm?
Standard deviation of 23.8 days. What is the 90% confidence interval for the average days worked by employees in all payroll departments?
An experiment was conducted to compare the effects of two teaching styles for grade 12 mathematics. the individuals in experiment were grade 12 math students from one particular high school.
A random sample of 48 managers of large hotels has mean X‾= 5.91. The null hypothesis for the researcher's test is?
How large sample should be selected in order to obtain p estimate with a bound of 0.08 on the error of estimation.
The Starbucks in the Bauer College of Business found that 24% of customers purchase more than one cup of coffee per day from their shop. If 180 customers are randomly selected one day, what is the probability that no less than 25% of them purchase..
A clinical investigator is interested in understanding the relationship between demographic factors and congestive heart failure, measured by a cardiac index (CI).
Define the null hypothesis. If the null hypothesis is rejected then? Read the Z statistic from the normal distribution table:
Baseball games are uniformly distributed between 160 minutes and 240 minutes. What is the probability that a 9-inning game will last between 180 and 220 minutes?
Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is.
Test whether the relationship between the plan at retirement and residential area using Chi square test.
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