Business statistics class Another survey examines visitors p

Business statistics class

Another survey examines visitor’s preferences in serving breakfast

Serves Breakfast (B)

Doesn’t serve Breakfast (B’)

Adult (A)

1000

450

Child (C)

150

300

Compute: P(A), P(B|A), P(B’|C), P(A or B), P(C and B). Is there any relationship between age (adult or child) and willing to serve breakfast?

Solution

Consider:

Thus,

P(A) = 1000/1900 = 0.526315789 [ANSWER]
P(B|A) = 1000/1450 = 0.689655172 [ANSWER]
P(B\'|C) = 300/450 = 0.6666666667 [ANSWER]
P(A or B) = (1000+450+150)/1900 = 0.842105263 [ANSWER]
P(C and B) = 150/1900 = 0.078947368 [ANSWER]

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Here, P(A) = 0.526315789.

P(A|B) = 1000/1150 = 0.869565217

As they are not equal, then yes, there is a relationship.