Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong
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Answer:
Therefore the probability that a pen from the first box and a crayon from the second box are selected is
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the number all possible outcomes of the event.
Given that,
Three plain pencils and 5 pens are contained by the first box.
Total number of pens and pencils is =(3+5)=8
The probability that a pen is selected from the first box is
=P(A)
A second box contains three colored pencils and three crayons.
Total number of pencils and crayons is =(3+3)=6
The probability that a crayon is selected from the second box is
=P(B)
Since both events are mutually independent.
The required probability is multiple of the events
Therefore the required probability is
We have been given the function
Convert this expression in difference of cubes form.
Now, in order to find the factors, we can apply the difference of cubes form, which is given by
On applying this formula, we get
Hence, the factors of the given expression are
Out of the given option, A is the correct option.
x^5 − 4 is the required factor.