Probability of at least or at most r successes in n binomial trials

1. A.
   0.000856
2. B.
   0.856
3. C.
   0.0000856
4. D.
   0.00856

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1. A.
   $\frac{115}{128}$
2. B.
   $\frac{63}{64}$
3. C.
   $\frac{57}{64}$
4. D.
   $\frac{7}{64}$

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1. A.
   $\frac{256\cdot49^4}{7^{18}}$
2. B.
   $\frac{1966\cdot49^4}{7^{18}}$
3. C.
   $\frac{1710\cdot49^4}{7^{18}}$
4. D.
   $\frac{1726\cdot49^4}{7^{18}}$

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1. A.
   $\frac{87}{90^4}$
2. B.
   $\frac{348}{90^4}$
3. C.
   $\frac{874}{90^4}$
4. D.
   $\frac{4}{10^4}$

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1. A.
   $\frac{17}{29}$
2. B.
   $\frac{496}{729}$
3. C.
   $\frac{233}{729}$
4. D.
   $\frac{491}{729}$

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1. A.
   $\dfrac{201}{5}\cdot\left(\dfrac{1}{5}\right)^{49}$
2. B.
   $\dfrac{316}{25}\cdot\left(\dfrac{4}{5}\right)^{48}$
3. C.
   $\dfrac{54}{5}\cdot\left(\dfrac{4}{5}\right)^{49}$
4. D.
   $\dfrac{164}{25}\cdot\left(\dfrac{1}{5}\right)^{48}$

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1. A.
   $\dfrac{7}{5}\!\left(\dfrac{9}{10}\right)^4$
2. B.
   $\dfrac{7}{5}\!\left(\dfrac{9}{10}\right)^5$
3. C.
   $\dfrac{6}{5}\!\left(\dfrac{9}{10}\right)^4$
4. D.
   $\dfrac{6}{5}\!\left(\dfrac{9}{10}\right)^5$

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1. A.
   $\frac{24}{(25)^{4}}$
2. B.
   $\frac{4}{(25)^{4}}$
3. C.
   $\frac{97}{(25)^{4}}$
4. D.
   $\frac{96}{(25)^{4}}$

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1. A.
   $\frac{31}{3^{4}}$
2. B.
   $\frac{32}{3^{4}}$
3. C.
   $\frac{33}{3^{4}}$
4. D.
   $\frac{35}{3^{4}}$

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1. A.
   $\dfrac{1}{27}$
2. B.
   $\dfrac{2}{27}$
3. C.
   $\dfrac{5}{27}$
4. D.
   $\dfrac{7}{27}$

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1. A.
   $\dfrac{37}{64}$
2. B.
   $\dfrac{37}{256}$
3. C.
   $\dfrac{37}{128}$
4. D.
   $\dfrac{37}{512}$

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1. A.
   $\dfrac{25}{(10)^6}$
2. B.
   $\dfrac{35}{(10)^6}$
3. C.
   $\dfrac{45}{(10)^6}$
4. D.
   $\dfrac{55}{(10)^6}$

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1. A.
   $1 - 5(0.4)(0.6)^9$
2. B.
   $1 - (0.6)^9(4.6)$
3. C.
   $1 - (0.4)^{10}$
4. D.
   $0.66$

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1. A.
   $\dfrac{59}{64}$
2. B.
   $\dfrac{119}{128}$
3. C.
   $\dfrac{117}{128}$
4. D.
   $\dfrac{29}{32}$

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