In Texas, 30% of parolees from prison return to prison within 3 years. Suppose 15 prisoners are released from a Texas prison on
1 answer:
Answer: n= 15
p= 0.30
Step-by-step explanation:
Binomial distribution :
Let x be a binomial variable.
The probability of getting success in x trials is given by :-
, where n is the total number of trials and p is the probability of getting success in each trail.
Given : The proportion of parolees from prison return to prison within 3 years= 0.30
We assume that whether or not one prisoner returns to prison is independent of whether any of the others return to prison.
⇒ p =0.30
Let the random variable X be the number of parolees out of 15 that return to prison within 3 years.
⇒ n= 15
You might be interested in
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
In the given equation, we have:
The b term here is 8. Therefore:
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
The expression inside the parentheses is now a perfect square trinomial. Factor it:
And we are done!