MEDIUM
AS and A Level
IMPORTANT
Earn 100

In Restaurant Bijoux 13% of customers rated the food as 'poor', 22% of customers rated the food as 'satisfactory' and 65% rated it as 'good'. A random sample of 12 customers who went for a meal at Restaurant Bijoux was taken. Find the probability that more than 2 and fewer than 12 of them rated the food as 'good'.

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 9
In Restaurant Bijoux 13% of customers rated the food as 'poor', 22% of customers rated the food as 'satisfactory' and 65% rated it as 'good'. On a separate occasion, a random sample of n customers who went for a meal at the restaurant was taken. Find the smallest value of n for which the probability that at least 1 person will rate the food as 'poor' is greater than 0.95.
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 10
A biased coin is four times as likely to land heads up compared with tails up. The coin is tossed k times so that the probability that it lands tails up on at least one occasion is greater than 99%. Find the least possible value of k.
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 11
Given that X~Bn,0.4 and that PX=1=k×PX=n-1, express the constant k in terms of n, and find the smallest value of n for which k>25.
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. How many pages are expected to contain at least one of 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 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.