Question

1. The following table summarize 200 endothermic reactions involving sodium bicarbonate. Final Temperature Conditions Heat Absorbed (cal) Below Target (B)Above target (B') Final Temperature "266 K" Final Temperature "271 K" Final Temperature "274 K" 12 42 54 40 16 36 Note that the total number of reactions in this table is 12 40 + 42 +16 + 54 + 36-200, and below we consider two different events Let A denote the event that a reaction's final temperature is 271K or less (i.e., the first two rows). Let B denote the event that the heat absorbed in a reaction is below target (i.e., the irst column) (i) Determine the number of reactions in each of the following events. (a) A (b) B (c) (ii) Determine the following probabilities. (a) P(A) (b) P(B) (c) P(An (d) P(A') (e) P(AUB) (f) P(AUB') (g) P(A'n B') 2. Consider the endothermic reactions in Problem 1 of this homework. Let A denote the event that a reaction's final temperature is 271K or less. Let B denote the event that the hear absorbed is below target (i) Determine the following (conditional) probabilities. (a) P(AB (b) P(A'B) (ii) Are A and B independent? Why? (c)P(AB') (d) P(4"B') (e) P(BIA) (f) P(BIA) (g) P(BIA') (h) P(B'lAY

Answer 1