Please need help with this assignment… thx
1 answer:
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Answer:
33.33% probability that it takes Isabella more than 11 minutes to wait for the bus
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
For this problem, we have that:
Uniformly distributed between 3 minutes and 15 minutes:
So
What is the probability that it takes Isabella more than 11 minutes to wait for the bus?
Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So
We want P(X > 11). So
33.33% probability that it takes Isabella more than 11 minutes to wait for the bus
Given to points to us are :-
- ( 3 , -6 )
- ( -1 , -8 )
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>