Answer:
a)0.08 , b)0.4 , C) i)0.84 , ii)0.56
Step-by-step explanation:
Given data
P(A) = professor arrives on time
P(A) = 0.8
P(B) = Student aarive on time
P(B) = 0.6
According to the question A & B are Independent
P(A∩B) = P(A) . P(B)
Therefore
& 
is also independent
= 1-0.8 = 0.2
= 1-0.6 = 0.4
part a)
Probability of both student and the professor are late
P(A'∩B') = P(A') . P(B') (only for independent cases)
= 0.2 x 0.4
= 0.08
Part b)
The probability that the student is late given that the professor is on time
= 
= 
= 0.4
Part c)
Assume the events are not independent
Given Data
P
= 0.4
=
= 0.4
= 0.4 x P
= 0.4 x 0.4 = 0.16
= 0.16
i)
The probability that at least one of them is on time
= 1-
= 1 - 0.16 = 0.84
ii)The probability that they are both on time
P
= 1 - 
= 1 - ![[P({A}')+P({B}') - P({A}'\cap {B}')]](https://tex.z-dn.net/?f=%5BP%28%7BA%7D%27%29%2BP%28%7BB%7D%27%29%20-%20P%28%7BA%7D%27%5Ccap%20%7BB%7D%27%29%5D)
= 1 - [0.2+0.4-0.16] = 1-0.44 = 0.56
The answer is 64 took the test
Jupiter has a diameter of about 88,695 miles (142,800 kilometers) which is more than 11 times the diameter of Earth. It’s volume is over 1,300 times the volume of Earth. This mean that Jupiter is so big that over 1,300 Earth could fit inside of it.
Answer:
no it is not
Step-by-step explanation:
Answer:
<em><u>True.</u></em>
Step-by-step explanation:
We have to tell about the statement true or false
Two triangles that have the same side length will always be congruent
The SSS congruency rule states that if all three sides of one triangle are equal to corresponding three sides of another triangle, then the triangles are congruent.
∴ we say that when the sides are the same then the triangles are congruent.
<u><em>Hence, the statement is true.</em></u>
Because the definition of a congruent triangle is a triangle with every side of same length.
