Questions from Statistics Principles


Q: How many different simple random samples of size 5 can be obtained

How many different simple random samples of size 5 can be obtained from a population whose size is 50?

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Q: How many different simple random samples of size 7 can be obtained

How many different simple random samples of size 7 can be obtained from a population whose size is 100?

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Q: A family has six children. If this family has exactly two

A family has six children. If this family has exactly two boys, how many different birth and gender orders are possible?

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Q: A family has eight children. If this family has exactly three

A family has eight children. If this family has exactly three boys, how many different birth and gender orders are possible?

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Q: How many distinguishable DNA sequences can be formed using three As,

How many distinguishable DNA sequences can be formed using three As, two Cs, two Gs, and three Ts?

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Q: How many distinguishable DNA sequences can be formed using one A,

How many distinguishable DNA sequences can be formed using one A, four Cs, three Gs, and four Ts?

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Q: A golf-course architect has four linden trees, five white

A golf-course architect has four linden trees, five white birch trees, and two bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row, assum...

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Q: A baseball team consists of three outfielders, four infielders, a

A baseball team consists of three outfielders, four infielders, a pitcher, and a catcher. Assuming that the outfielders and infielders are indistinguishable, how many batting orders are possible?

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Q: In the Illinois Lottery game Little Lotto, an urn contains balls

In the Illinois Lottery game Little Lotto, an urn contains balls numbered 1–39. From this urn, 5 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of five numbers....

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Q: In Mega Millions, an urn contains balls numbered 1–56

In Mega Millions, an urn contains balls numbered 1–56, and a second urn contains balls numbered 1–46. From the first urn, 5 balls are chosen randomly, without replacement and without regard to order....

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