Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter 
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14
The correct excluded value is 2.
Answer:
y = 15x
Step-by-step explanation:
For every hour that has gone by, Marco biked 15 miles, therefore, the equation of the line that shows the relationship between the time, x, and the distance, y, is <em>y = 15x</em>.
48. 6 legs x 8 ants = 48 legs.
Since the question is asking for the time units to be in hours, you want to convert 30 minutes to an hour; 0.5
We’re able to use the basic motion formula for velocity to work out this question.
Velocity = distance / time
Velocity = 5 / 0.5
Velocity = 10km/h
Therefore, Stanley’s average speed was 10 kilometres per hour. :)
