Question

A survey of 350 people is done to find out what kind of drink they like and following is the data: 

Find the probability: 

P(customer is not a man) = _______  up to 4 decimal places 

P(customer is hot coffee drink and man) = _______  up to 4 decimal places 

P(customer does not like other drinks) = _______  up to 4 decimal places 

P(customer only like hot coffee drink and woman) = _______  up to 4 decimal places 

P(customer is only a woman and like other drinks) = _______  up to 4 decimal places

Answer 1

Solution:

Given:

	Hot Coffee Drink	Cold Coffee Drink	Others	Total
Men	80	76	34	190
Women	55	39	66	160
Total	135	115	100	N = 350

Part 1) Find:

P( customer is not a Man) = .........?

P( customer is not a Man) = 1- P( customer is a Man)

P( customer is not a Man) = 1- Total of Men / N

P( customer is not a Man) = 1- ( 190 / 350 )

P( customer is not a Man) = 1- 0.5429

P( customer is not a Man) = 0.4571

Part 2) Find:

P( customer is hot coffee drink and man) =.............?

P( customer is hot coffee drink and man) = Number of Man customer who like hot coffee drink / N

P( customer is hot coffee drink and man) = 80 / 350

P( customer is hot coffee drink and man) = 0.2286

Part 3) Find:

P( Customer does not like other drink) = ..........?

P( Customer does not like other drink) = 1 - P( Customer like other drink)

P( Customer does not like other drink) = 1 - Total of Others / N

P( Customer does not like other drink) = 1 - 100 / 350

P( Customer does not like other drink) = 1 - 0.2857

P( Customer does not like other drink) = 0.7143

Part 4) Find:

P( Customer only like hot coffee drink and woman) =...........?

P( Customer only like hot coffee drink and woman) = Number of women like hot coffee drink / N

P( Customer only like hot coffee drink and woman) = 55 / 350

P( Customer only like hot coffee drink and woman) = 0.1571

Part 5) Find:

P( Customer is only a woman and like other drinks) =.............?

P( Customer is only a woman and like other drinks) = Number of women like other drink / N

P( Customer is only a woman and like other drinks) = 66 / 350

P( Customer is only a woman and like other drinks) = 0.1886