A business calculates that 60% of its suppliers are UK-based. Every month it randomly selects 8 of its suppliers and checks their compliance with money-laundering legislation. It defines the random variable X to represent how many of the 8 selected supplie are UK-based. This scenario is modelled with a Binomial distribution denoted X- Bin(n, p). (a) State the value of n (b) State the value of p, writing your answer as a decimal to 1 decimal place. (C) How many combinations of 5 UK-based suppliers are possible within the set of 8 suppliers selected for the compliance checks?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A business calculates that 60% of its suppliers are UK-based. Every month it randomly selects 8 of its suppliers and checks their
compliance with money-laundering legislation. It defines the random variable X to represent how many of the 8 selected supplie
are UK-based.
This scenario is modelled with a Binomial distribution denoted X- Bin(n, p).
(a) State the value of n
(b) State the value of p, writing your answer as a decimal to 1 decimal place.
(c) How many combinations of 5 UK-based suppliers are possible within the set of 8 suppliers selected for the compliance checks?
(d) Calculate the probability that there are exactly 5 UK-based suppliers within the set of 8 suppliers selected for the compliance checks.
Answer to 2 decimal places.
Transcribed Image Text:A business calculates that 60% of its suppliers are UK-based. Every month it randomly selects 8 of its suppliers and checks their compliance with money-laundering legislation. It defines the random variable X to represent how many of the 8 selected supplie are UK-based. This scenario is modelled with a Binomial distribution denoted X- Bin(n, p). (a) State the value of n (b) State the value of p, writing your answer as a decimal to 1 decimal place. (c) How many combinations of 5 UK-based suppliers are possible within the set of 8 suppliers selected for the compliance checks? (d) Calculate the probability that there are exactly 5 UK-based suppliers within the set of 8 suppliers selected for the compliance checks. Answer to 2 decimal places.
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