MEDIUM
AS and A Level
IMPORTANT
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A book publisher has noted that, on average, one page in eight contains at least one spelling error, one page in five contains at least one punctuation error, and that these errors occur independently and at random. The publisher checks 480 randomly selected pages from various books for errors. How many pages are expected to contain at least one of both types of error?

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Important Questions on The Binomial and Geometric Distributions

MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 12
A book publisher has noted that, on average, one page in eight contains at least one spelling error, one page in five contains at least one punctuation error, and that these errors occur independently and at random. The publisher checks 480 randomly selected pages from various books for errors. Find the probability that: the first spelling error occurs after the 10 th page
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 12
A book publisher has noted that, on average, one page in eight contains at least one spelling error, one page in five contains at least one punctuation error, and that these errors occur independently and at random. The publisher checks 480 randomly selected pages from various books for errors. Find the probability that: the first punctuation error occurs before 10 th page
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 12
A book publisher has noted that, on average, one page in eight contains at least one spelling error, one page in five contains at least one punctuation error, and that these errors occur independently and at random. The publisher checks 480 randomly selected pages from various books for errors. Find the probability that: 10 th page is the first to contain both types of error.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 13
Robert uses his calculator to generate 5 random integers between 1 and 9 inclusive. Find the probability that at least 2 of the 5 integers are less than or equal to 4.
MEDIUM
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 13
Robert generates n random integers between 1 and 9 inclusive. The random variable X is the number of these n integers which are less than or equal to a certain integer k between 1 and 9 inclusive. It is given that the mean of X is 96 and the variance of X is 32.Find the values of n and k.
HARD
AS and A Level
IMPORTANT
Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 7 - The Binomial and Geometric Distributions>END-OF-CHAPTER REVIEW EXERCISE 7>Q 14
Anna, Bel and Chai take turns, in that order, at rolling an ordinary fair die. The first person to roll a 6 wins the game. Find the ratio P( Anna wins) :P Bel wins) :P (Chai wins), giving your answer in its simplest form.