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
Answer:
To me it means that challenges are meant to show your strengths and weaknesses, and that things will challenge your weakness but it ends up making them into strengths.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given recursive formula</u>
- a₁ = 0
- aₙ = 2(aₙ₋₁)² - 1, for n>1
<u>The first 5 terms are:</u>
- a₁ = 0
- a₂ = 2(0)² - 1 = 0 - 1 = -1
- a₃ = 2(-1)² - 1 = 2 - 1 = 1
- a₄ = 2(1)² - 1 = 2 - 1 = 1
- a₅ = 2(1)² - 1 = 2 - 1 = 1