Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of
2 answers:
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Answer:
a)
And we can find this probability using the normal standard table or excel:
b)
And we can find this probability using the complement rule and the normal standard table or excel and 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".
Solution to the problem
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
Part a
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 using the normal standard table or excel:
Part b
We are interested on this probability
If we apply the z score formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Solving we get
Option A is correct.
Step-by-step explanation:
We need to find the result of
We need to remove i from the denominator. For removing i Multiplying and dividing by 2-3i:
Solving:
So, solving we get
Option A is correct.
Keywords: Complex numbers
Learn more about Complex numbers at:
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