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1. A survey based on the general adult population of an American city shows that among the surveyed individuals, 60% are cigarette smokers and 3% of the smokers have lung cancer. On the other hand, only 1% of the non-smokers have lung cancer. Construct the joint probability distribution table of the variables Smoking Status and Lung Cancer Status. 2. Construct the probability distribution for the value of a 2‐ card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11). a. What is the probability of being dealt 21? b. What is the probability of being dealt 16? c. Construct a chart for the cumulative distribution function. What is the probability of being dealt a 16 or less? Between 12 and 16? Between 17 and 20? d. Find the expected value and standard deviation of a two‐card hand.
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