Consider the following cross-tabulation table of brand preference for digital ca

Question

Consider the following cross-tabulation table of brand preference for digital cameras and their primary usage (professional or personal):

What is the likelihood that a randomly selected user prefers the Canon brand and is a professional user?

Find the probability of randomly selecting either a professinal user or a user who prefers the Nikon brand of digital camera or both.

Are the two events primary usage and brand preference mutually exclusive? Justify your answer statisically.

Usage Canon Nikon Pentax Total Professional 48 15 27 90 Personal 30 95 65 190 Total 78 110 92 280

Explanation / Answer

Ans

a.

P(user prefers canon for professional use) = 48/280 = 0.17

b.

P(selected user is a professional or prefers Nikon) = (90+110-15)/280 = 0.661

c.

When two events (call them "A" and "B") are Mutually Exclusive it is impossible for them to happen together. But in the above case, the primary usage and brand preference can occur together

So, the events are NOT mutually exclusive

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