Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W
T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W
T) + P(W'
T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'
W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385
Answer:
37.34 or 37 if rounded
Step-by-step explanation:
Write the equation vertically to make it easier. 8 minus 4 equals 4, 5 minus 2 equals 3, 9 minus 2 equals 7, and 6 minus 3 equals 3.
Answer:
the given expression is equivalent to the
Step-by-step explanation:
![{3}^{7} \times \frac{1}{ {3}^{4} }](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7%7D%20%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%7B3%7D%5E%7B4%7D%20%7D%20)
Answer: 450
Step-by-step explanation:
You will do 50 times 9, and then you will get 450. You get this answer because you get 50 each day so you will need to multiply 50 times 9 to figure out how much she earns on the ninth day.