Answer: 0.14
Step-by-step explanation:
Given: Mean : ![\lambda=15\text{ per seconds}](https://tex.z-dn.net/?f=%5Clambda%3D15%5Ctext%7B%20per%20seconds%7D)
In minutes , Mean : ![\lambda=4\text{ per minute}](https://tex.z-dn.net/?f=%5Clambda%3D4%5Ctext%7B%20per%20minute%7D)
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
Subtract 110 and 8.75 and you get 101.25 then divide that by 9 and you get 11.25
Answer:
6
Step-by-step explanation:
slope is rise/run
to get from -1 to 5 is 6 points
y axis to 1 is 1 point
6/1=6
The answer is 73.3333333 ounces<span>
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