1. Let the three boxes be box 1, box 2, box 3
consider the 2 white balls, they can be placed in the 3 boxes as follows:
BOX1: BOX2: BOX3:
__2___ ___0__ __0___
__0___ ___2__ ___0__
__0___ ___0__ ___2__
___0__ ___1__ ___1__
__1___ ___0__ ___1__
__1___ ___1__ ___0__
so there are 6 possibilities to place the white balls. Similarly there are 6 ways to place the black balls. We can combine any position of the black balls with any position of the white balls, so there are in total 6*6=36 ways to place the balls.
Answer: 36
Answer:
y=-7x+48 slope would be -7
Step-by-step explanation:
Used a Regression Calculator
<h3>Please elaborate the question!!</h3>
Answer:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got:
Step-by-step explanation:
Let X the random variable that represent the diamters of interest for this case, and for this case we know the following info
Where and
We can begin finding this probability this probability
For this case they select a sample of n=79>30, so then we have enough evidence to use the central limit theorem and the distirbution for the sample mean can be approximated with:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the z scores for each limit and we got:
So we can find this probability:
And then since the interest is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.3 inches using the complement rule we got: