If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?
2 answers:
Answer:
14 questions.
Step-by-step explanation:
We have been given that your teacher tells you to do questions 28 through 41 in your math book for homework. We are asked to find he total number of questions.
Since we need to solve questions 28 through 41, this means we have to solve question number 28 and 41 as well.
We know that 28-37 would be 10 questions and 38-41 would be 4 questions.
Therefore, you need to solve 14 questions to complete the homework.
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Answer:
a) P(X∩Y) = 0.2
b) = 0.16
c) P = 0.47
Step-by-step explanation:
Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.
So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67
Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.36 + 0.51 - 0.67
P(X∩Y) = 0.2
On the other hand, the probability that he must stop at the first signal but not at the second one can be calculated as:
= P(X) - P(X∩Y)
= 0.36 - 0.2 = 0.16
At the same way, the probability that he must stop at the second signal but not at the first one can be calculated as:
= P(Y) - P(X∩Y)
= 0.51 - 0.2 = 0.31
So, the probability that he must stop at exactly one signal is: