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October 1, 2014

October 1, 2014

Posted by **Kimberly** on Friday, November 20, 2009 at 10:08pm.

Find the probability that a shopper who was happy with the service had made a purchase (round the answer to the nearest hundredth).

What can you conclude?

About what percent of those who were happy with the service made a purchase?

- Math -
**Reiny**, Friday, November 20, 2009 at 11:26pmthe transition matrix would be

..... : happy not happy

....buy 125/236 111/236

not buy 148/464 316/464 or

│.53 .47 │

│.32 .68 │

so [a b] x [transition matrix] = [a b]

where a+b= 1

I got .53a + .32b = a or 32b = 47a

and .47a + .68b = b

we only need the first of these relations and the fact that a+b = 1

then a = 1-b

and 32b = 47a

32b = 47(1-b)

32b = 47 - 47b

79b = 47

b = .595 then a = .405

(This is the first time I have seen this kind of question in this forum, and its been over 12 years since I have done one like it. So I am not 100% sure of my work here)

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