Answer:
ok
Step-by-step explanation:
Answer:
And we can find this probability with the following difference and using the normal standard table or excel we have:
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
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 the following difference and using the normal standard table or excel we have:
-7x+14>-3x-6
Add 3x to both sides
-7x+14+3x>-3x-6+3x
-4x+14>-6
Subtract 14 from both sides
-4x+14-14>-6-14
-4x>-20
Divide both sides by -4
-4x/4>-20/-4
x<5
I hope that's help , please let me know !