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:

Answer:
2*2 = 4
4^4 = 16
16 > x + 4
Step-by-step explanation:
X is any real number less than 12
Answer:
19, because it wouldn't be close to becoming a whole.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
n + n+1 + n+2 + n+3 = 4n + 6
4n + 6 = 34
4n = 28
n = 7
Eldest: n + 3 = 7 + 3 = 10
Answer: The equation is 2j + 3 = 36
Step-by-step explanation: The first clue is Mindy’s age which is given as 36. Also Jake’s age is given as j. However the clue to finding Jake’s age is that,
Mindy’s age is three years older than (that is + 3) two times Jake’s age (that is 2 x j, or simply 2j).
If Mindy’s age is 36, then the equation needed to solve for Jake’s age is
36 = 2j + 3 OR better still
2j + 3 = 36