The answer was is : The foot ball player is at school for 12 hours, I got this answer by multiplying 3 hours by 4 since 3 hours is a quarter and 4 quarters make up 100%.
Answer:
b
Step-by-step explanation:
given
= ![\frac{b}{r}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7Br%7D)
(a) is true
consider the numerical example
=
⇔
= ![\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D)
(b) is not true ( cross- multiply the original equation ) gives
mr = ab ⇒ (c) is true
(d) is true
using result from (c) divide both sides by a and m
=
⇒
= ![\frac{b}{m}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7Bm%7D)
Answer: a) No, b) 0.78, c) No.
Step-by-step explanation:
Since we have given that
P(A) = 0.7
P(B) = 0.2
P(A∩B) = 0.12
(a) Are A and B independent? Explain.
Since P(A).P(B) = ![0.7\times 0.2=0.14](https://tex.z-dn.net/?f=0.7%5Ctimes%200.2%3D0.14)
And P(A∩B) = 0.12
P(A∩B) ≠ P(A).P(B)
So, they are not independent.
(b) Compute P(A or B).
![P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.7+0.2-0.12\\\\P(A\cup B)=0.9-0.12\\\\P(A\cup B)=0.78](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29%5C%5C%5C%5CP%28A%5Ccup%20B%29%3D0.7%2B0.2-0.12%5C%5C%5C%5CP%28A%5Ccup%20B%29%3D0.9-0.12%5C%5C%5C%5CP%28A%5Ccup%20B%29%3D0.78)
(c) Are A and B mutually exclusive? Explain
Since P(A∩B) ≠ 0
So, they are not mutually exclusive.
Hence, a) No, b) 0.78, c) No.