Answer:
(a) The Venn diagram is attached below.
(b) The probability that neither university admits Ramon is 0.20.
(c) The probability that Ramon gets into Stanford but not Harvard 0.30.
Step-by-step explanation:
Let's denote the events as follows:
<em>H</em> = Ramon gets admitted to Harvard
<em>S</em> = Ramon gets admitted to Stanford.
The information provided is:
P (H) = 0.50
P (S) = 0.50
P (H ∩ S) = 0.20
(a)
The Venn diagram is attached below.
(b)
Compute the probability that Ramon gets admitted in neither Harvard nor Stanford as follows:
![P(H^{c}\cup S^{c})=1-P(H\cup S) \\= 1 - [P(H)+P(S)-P(H\cap S)]\\=1-[0.50+0.50-0.20]\\=1-0.80\\=0.20](https://tex.z-dn.net/?f=P%28H%5E%7Bc%7D%5Ccup%20S%5E%7Bc%7D%29%3D1-P%28H%5Ccup%20S%29%20%5C%5C%3D%201%20-%20%5BP%28H%29%2BP%28S%29-P%28H%5Ccap%20S%29%5D%5C%5C%3D1-%5B0.50%2B0.50-0.20%5D%5C%5C%3D1-0.80%5C%5C%3D0.20)
Thus, the probability that neither university admits Ramon is 0.20.
(c)
Compute the probability that Ramon gets admitted in Stanford but not in Harvard as follows:
Thus, the probability that Ramon gets into Stanford but not Harvard 0.30.
Answer:
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Step-by-step explanation:
Data provided in the question:
Maximum error on a car speedometer = 1.6% = 0.016
Maximum Speed limit on the road = 65 miles per hour
Now,
The error will be ± 1.6%
Now,
When the speedometer reads 64 miles per hour
The possible speed of the car can be
64 miles per hour + Error
= 64 + [0.016 × 64]
= 64 + 1.024
= 65.024 miles per hour
or
The speed can be
64 miles per hour - Error
= 64 - [0.016 × 64]
= 64 - 1.024
= 62.976 miles per hour
Hence,
For A) it is possible that the speed the cat is going over the speed limit
For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.
Answer:
D, E, F, C,
Step-by-step explanation:
Answer:
8a over 5
Hope this helps :)
Step-by-step explanation:
