Children are divided into three groups
Twelve children are divided into three groups, of five, four, and three children, respectively. In how many ways can this be done if the order within the group is not important?
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Use Excel or MegaStat to find the mean, midrange, geometric mean, and 10 percent trimmed mean (i.e., dropping the first three and last three observations). Do these measures of central tendency agree? Explain.
A random sample of measurements on two quantitative variables x and y is taken from a population. The data for the variables x and y are: {( x,y) |( 2,1), ( 3,2), ( 4,3), ( 5,5)}.
A Broadway theater offers 3 tickets per performance at 70% discounted price by drawing random lottery to the people waiting in a line before the show. Today, 10 people are waiting in a line to win a lottery.
Suppose there is a Johnny in a line. What is the probability for Johnny to win a lottery?
These 7 rules are as follows: no smoking, regular exercising, use alcohol, get 7 to 8 hours of sleep, maintain proper weight, eat breakfast, and do not eat between meals. In how many ways can a person adopt five of these rules to follow:
If Y is a random variable that has an F distributions with v1 numerator and v2 denominator degrees of freedom, show that U=1/Y has an F distributions with v2 numerator and v1 denominator degrees of freedom.
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