Given that T ~ Geo 0 . 32 , find: P T ≤ 6

Given that T ~ Geo 0 . 32 A random variable T that has a geometric distribution is denoted by T ~ Geo ( p ) , and P T ≤ r = 1 - ( 1 − p ) r for r = 1 , 2 , 3 , … We have p = 0 . 32 Now, we have to find P T ≤ 6 : ⇒ P T ≤ 6 = 1 - 0 . 68 6 ⇒ P T ≤ 6 = 1 - 0 . 0988 ⇒ P T ≤ 6 = 0 . 9011 .

E M B I B E

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7B>Q 11

HARD

AS and A Level

IMPORTANT

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On average, $8 %$ of the candidates sitting an examination are awarded a merit. Groups of $50$ candidates are selected at random. Calculate the variance of the number of merits in the groups of $50$ .

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Important Questions on The Binomial and Geometric Distributions

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7B>Q 11

On average, $8 %$ of the candidates sitting an examination are awarded a merit. Groups of $50$ candidates are selected at random. Find the probability that three, four or five candidates in a group of $50$ are awarded merits. [Write your answer correcting to three decimal places]

HARD

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>EXERCISE 7B>Q 11

On average, $8 %$ of the candidates sitting an examination are awarded a merit. Groups of $50$ candidates are selected at random. Find the probability that three, four or five candidates in both of two groups of $50$ are awarded merits. [Write your answer correcting to three decimal places]

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 1

Given the discrete random variable