In Lake Serenity, there are two types of fish: Bass and Trout. The probability of catching...

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In Lake Serenity, there are two types of fish: Bass and Trout. The probability of catching a Bass is P(B) = 0.4, and the probability of catching a Trout is P(T) = 0.6. Additionally, it is known that on sunny days, the probability of catching a Bass increase to P(B|S) = 0.8, The probability of a sunny day is P(S) = 0.2 and the probability of a cloudy day is P(C). a) Complete the contingency table. Hint P(B | S) = P(S) P(C) Total P(B) P(T) Total P(BNS) P(S) 1 b) Find the probability of the weather being Sunny OR catching a Bass. c) Find the probability of catching a Trout on a Cloudy day i.e. P(T | C). d) Are the events a Sunny day AND catching a Trout independent? In Lake Serenity, there are two types of fish: Bass and Trout. The probability of catching a Bass is P(B) = 0.4, and the probability of catching a Trout is P(T) = 0.6. Additionally, it is known that on sunny days, the probability of catching a Bass increase to P(B|S) = 0.8, The probability of a sunny day is P(S) = 0.2 and the probability of a cloudy day is P(C). a) Complete the contingency table. Hint P(B | S) = P(S) P(C) Total P(B) P(T) Total P(BNS) P(S) 1 b) Find the probability of the weather being Sunny OR catching a Bass. c) Find the probability of catching a Trout on a Cloudy day i.e. P(T | C). d) Are the events a Sunny day AND catching a Trout independent?

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Answering your questions about Bass fishing in Lake Serenity a Completing the contingency table PS PC Total PBIS PB C 04 PBIS 02 06 1 We know PS 02 an... View the full answer