Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given: 
The probability that a given 1-ml will contain more than 100 bacteria will be:
![P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E100%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B100-85%7D%7B9%7D%29%5C%5C%5C%5C%3DP%28Z%3E1.67%29%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.67%29%5C%20%5C%20%5C%20%5BP%28Z%3Ez%29%3D1-P%28Z%3Cz%29%5D%5C%5C%5C%5C%3D1-%200.9525%3D0.0475)
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
Answer:
222! thats your answer!
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
No
Discussion:
If the functions are inverses, then f(g(x)) = x for appropriate x. Consider x = 1.
g(1) = 1/ (5(1) + 1) = 1/6
f(g(1)) = f (1/6) = 5(1/6) + 1/ (1/6) = 5/6 + 6 = 6 5/6 <> 1
Conclusion: f(g(1)) <> 1 so the functions are not inverses
Thank you,
MrB
Answer: As soon as possible
Step-by-step Explanation: You just say ASAP for As soon as possible
