An economist believes that during periods of high economic growth, the dollar appreciates with probability 0.70, in periods of moderate economic growth, the dollar appreciates with probability 0.40, and during period of low economic growth, the dollar appreciates with probability 0.20. During any period of time, the probability of high economic growth is 0.30, the probability of moderate growth is 0.50, and the probability of low economic growth is 0.20. Suppose the dollar has been appreciating during the present period. What is the probability if we are experiencing a period of high economic growth?

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An economist believes that during periods of high economic growth,
the dollar appreciates with probability 0.70, in periods of moderate
economic growth, the dollar appreciates with probability 0.40, and
during period of low economic growth, the dollar appreciates with
probability 0.20. During any period of time, the probability of high
economic growth is 0.30, the probability of moderate growth is 0.50,
and the probability of low economic growth is 0.20. Suppose the dollar
has been appreciating during the present period. What is the
probability if we are experiencing a period of high economic growth?
Transcribed Image Text:An economist believes that during periods of high economic growth, the dollar appreciates with probability 0.70, in periods of moderate economic growth, the dollar appreciates with probability 0.40, and during period of low economic growth, the dollar appreciates with probability 0.20. During any period of time, the probability of high economic growth is 0.30, the probability of moderate growth is 0.50, and the probability of low economic growth is 0.20. Suppose the dollar has been appreciating during the present period. What is the probability if we are experiencing a period of high economic growth?
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