Answer:
And using the cdf we got:
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:
We know the variance on this case given by :
So then the deviation is given by:
And if we solve for 
we got:
The cumulative distribution function for the exponential distribution is given by:
Solution to the problem
And for this case we want to find this probability:
And using the cdf we got:
Answer:
The probability that you get zero questions correct is 0.4096
The probability that you get one questions correct is 0.4096
The probability that you get three questions correct is 0.0256
Step-by-step explanation:
These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:
Where x is the variable that says the number of success in the n situations
And nCx is calculate as:
From the question we can identify that:
- n is equal to 4 multiple choice question
- p is 1/5 or 0.2, the probability of get one question correct
- q is 4/5 or 0.8, the probability of get one question incorrect
Then the probability of get zero questions correct of 4 questions is:
The probability of get one question correct of 4 questions is:
The probability of get three questions correct of 4 questions is:
Answer:
Z(2w-2)=24
Simple and best practice solution for Z(2w-2)=24 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
This is how you work it out:
u + xy
Plug in your numbers that you know:
20 + 9 * 8
20 + 72
92
Answer:
413x6=345467
Step-by-step explanation:
