Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 12

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AS and A Level

IMPORTANT

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The random variable $T$ has a geometric distribution and it is given that $\frac{P (T = 2)}{P (T = 5)} = 15.625 .$ Find $P (T = 3) .$

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Important Questions on The Binomial and Geometric Distributions

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 13

X ~ Geo (p)

and

P (X = 2) = 0.2464 .

Given that

p < 0.5

, find

P (X > 3) .

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 14

Given that

X ~ Geo (p)

and that

P (X \leq 4) = \frac{2385}{2401}

, find

P (1 \leq X < 4) .

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AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 15

Two ordinary fair dice are rolled simultaneously. Find the probability of obtaining: the first double on the fourth roll.

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AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 15

Two ordinary fair dice are rolled simultaneously. Find the probability of obtaining: the first pair of numbers with a sum of more than

10

before the

10

th roll.

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AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7C>Q 16

X ~ Geo (0.24)

and

Y ~ Geo (0.25)

are two independent random variables. Find the probability that

X + Y = 4 .

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 1

Given that

X ~ Geo (0.36)

, find the exact value of

E (X)

.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 2

The random variable

Y

follows a geometric distribution. Given that

P (Y = 1) = 0.2

, find

E (Y)

.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7D>Q 3

Given that

S ~ Geo (p)

and that

E (S) = 4 \frac{1}{2}

, find

P (S = 2) .