Question

# Albertsons conducted a one-question customer survey of customers selected at random to evaluate satisfaction with length...

Albertsons conducted a one-question customer survey of customers selected at random to evaluate satisfaction with length of time waiting to check out. The survey has six possible responses, and a customer choses exactly one response. The following table is the probability distribution based on the results of the survey.

 Response Probability Very satisfied 0.11 Somewhat satisfied 0.36 Neither satisfied nor dissatisfied 0.1 Somewhat dissatisfied 0.05 Very dissatisfied .05 Declined to respond

Define the following events:

A = {customer is very satisfied}

B = {customer is somewhat satisfied}

C = {customer is neither satisfied nor dissatisfied}

What is the probability P(A or B or C)?

Given:

The probability distribution based on the results of the survey is

 Response Probability Very satisfied 0.11 Somewhat satisfied 0.36 Neither satisfied nor dissatisfied 0.1 Somewhat dissatisfied 0.05 Very dissatisfied .05 Declined to respond

Define the following events:

A = {customer is very satisfied}

B = {customer is somewhat satisfied}

C = {customer is neither satisfied nor dissatisfied}

P(A) = 0.11

P(B) = 0.36

P(C) = 0.10

The events A, B and C are independent events.

If A , B and C are independent events then

P(A or B or C) = P(A) + P(B) + P(c)

= 0.11 + 0.36 + 0.10

= 0.57

Therefore the probability P(A or B or C) is 0.570

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