QUESTION 1 A computer firm offers rebates on their products. 30% of the customer

Question

QUESTION 1

A computer firm offers rebates on their products. 30% of the customers bought products priced under $300. Of the customers who bought products priced below $300, 40% of customers file for their rebate. Finally, 40% of the customers who bought ANY produce filed for a rebate. What is the probability that a customer chosen at random bought a product priced under $300 and filed for a rebate? (please round your answer to 2 decimal places)

QUESTION 2

The customer service department of a local utility company claims that 80% complaints are resolved to the customer's satisfaction. In a random sample of 11 customers with complaints what is the probability that exactly 8 had their complaints resolved to their satisfaction? (please round your answer to 4 decimal places)

Explanation / Answer

1.

Let

B = below 300
R = filed for rebate

Hence,

P(B) = 0.30
P(R|B) = 0.40

Thusm

P(B n R) = P(B) P(R|B) = 0.30*0.40 = 0.12 [ANSWER]

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2.

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    11      
p = the probability of a success =    0.8      
x = the number of successes =    8      
          
Thus, the probability is          
          
P (    8   ) =    0.221459251 [ANSWER]

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