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In: Statistics and Probability

Kay listens to either classical or country music every day while she works. If she listens...

Kay listens to either classical or country music every day while she works. If she listens to classical music one day, there is a 60% chance that she will listen to country music the next day. If she listens to country music, there is a 78% that she will listen to classical music the next day.

(a) If she listens to country music on Monday, what is the probability she will listen to classical music on Wednesday?


(b) If she listens to classical on Monday, what is the probability she will listen to classical on Wednesday?


(c) If she listens to classical music on Monday, what is the probability she will listen to country music on Thursday?


(d) If she listens to country music on Monday, what is the probability she will listen to country music on Thursday?


All of the same information about Kay's listening habits remain true. However, suppose you know the additional fact that on a particular Monday the probability that she is listening to classical music is 0.38.

(e) Based on your additional knowledge that there is a 0.38 probability that she is listening to classical music on Monday, what is the probability she will be listening to country music on Wednesday?


(f) Based on your additional knowledge that there is a 0.38 probability that she is listening to classical music on Monday, what is the probability that she will be listening to classical music on Thursday?

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orchestra answered 2 years ago
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