Consider the endothermic reactions in Exercise 2-50. Let A denote the event that a reaction's final temperature is 271 K orless. Let B denote the event that the heat absorbed is above target. Determine the following probabilities.(a) P(A n B) (b) P(A u B) (c) P(A’u 3')((1) Use the total probability rule to determine P(A)2-50. The following table summarizes 204 endothermic reac-tions involving sodium bicarbonate. Final TemperatureConditions Heat Absorbed (cal)Below Target Above Target266 K 12 40271 K 44 16274 K 56 36Let A denote the event that a reaction’s final temperature is 271 Kor less. Let B denote the event that the heat absorbed is belowtarget. Determine the number of reactions in each of thefollowing events.(a) AnB (b) A’ (c) AUB (d) AUB’ (e) A’nB’

Step-by-step explanation:

Hello!

Using the information data of 204 endotermic reactions, two events were determined:

A: "the reactions final temperature is 271K or less"

B: "the heat absorbed is above target"

a) P(A∩B) is the intersection between the two events, this means, all the exotermic reaction with final temperature of 271K and less and absorved heat above target:

P(A∩B)= = 0.274

b)P(A∪B) is the probability that the reactions had a final temperature of 271K or are above target, the events A and B are not mutually exclusive, since both can occur at the same time (their intersection isn't void), so you calculate the probability as:

P(A∪B)= P(A) + P(B) - P(A∩B)

To calculate the probability of event A, you have to divide the number of reactions whose final temperature or less by the total number of endotermic reactions, symbolically:

The probability of event B is the quotient between all reactions above target and the total of reactions, symbolically:

Then

P(A∪B)= 0.549 + 0.451 - 0.274= 0.726

c) P(A'∪B')

P(A'∪B')= P(A') + P(B') - P(A'∩B')

If A' is the complementary event of A, meaning all endotermic reactions above a final temperature of 271K, then it's probability is:

P(A')= 1 - P(A)= 1 - 0.549= 0.451

And B' the complementary event of B, this includes all reactions with heat absortion below target, it's probability is:

P(B')= 1 - P(B)= 1 - 0.451= 0.549

And the intersection between both events is:

P(A'∩B')= 56/204= 0.274

Then

P(A'∪B')=0.451 + 0.549 - 0.274= 0.726

I hope it helps!

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)