Orlando is renting a tuxedo for the school formal. He has narrowed his choices down by deciding to wear either navy blue or blac
2 answers:
Answer: There are 8 choices Oriando have.
Step-by-step explanation:
Since we have given that
There are two possibilities of colors i.e. navy blue or black.
There are two possibilities of tail i.e. short or long tail.
There are two possibilities of types i.e. solid or striped cummerbund.
So, Number of choices of colors = 2
Number of choices of tail = 2
Number of types = 2
Total possibilities are given by
Hence, there are 8 choices Oriando have.
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Answer:
a) + x direction, b) .
Step-by-step explanation:
a) According to the Cartesian plane, an eastward translation implies a movement in the +x direction.
b)
Answer:
a)
And we can find this probability with this difference:
And using the norma standard distribution or excel we got:
b)
And using the complement rule we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And using the norma standard distribution or excel we got:
Part b
For this case we want this probability:
And we can use the z score and we got:
And using the complement rule we got: