On any given day, the probability that it is raining when Randy goes to class is 0.2. If it is raining, the probability that Randy is on time to class is 0.7. If it is not raining, the probability that Randy is on time to class is 0.90. What is the probability that it is raining given that Randy is late to class

The probability that is raining given that Randy is late to class is P(R|L)=0.175.

Step-by-step explanation:

We can apply the Bayes theorem to solve this question.

Being

L: Randy is late to class

R: It is raining

nL: Randy is on time to class

nR: It is not raining

We know:

P(L | R)= 1-0.7=0.3

P(L | nR) = 1-0.9=0.1

P(R) = 0.2 (probability of Randy going to class given that is raining)

P(nR) = 0.8

We have to calculate P(R | L): probability that is raining given that Randy is late to class.

If we apply the Bayes theorem, we have:

The probability that is raining given that Randy is late to class is P(R|L)=0.175.

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

the answer is a. q=6,r=6√2

step-by-step explanation: