Which graph below is a tree graph?
2 answers:
You might be interested in
The probability of first number cube shows a five and the other number cube shows an even number is .
Solution:
Two cubes are rolled sequentially.
Sample space when two dies are rolled
Number of sample space = 36
Even numbers getting when two cubes rolled are 2, 4, 6.
First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}
Number of first number cube shows a five and the other number cube shows an even number = 3
Probability of first number cube shows a five and the other number cube shows an even number
Hence, the probability of first number cube shows a five and the other number cube shows an even number is .
Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
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 average household spent 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 using the complement rule and with the normal standard table or excel:
