Answer:
-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)
Step-by-step explanation:
Answer:
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 lifetime for a TV 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 like this:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
Exponential transformation.
Step-by-step explanation:
y = log_3 (x + 3) - 2
To transform this into exponential, we have:
Adding 2 to both sides
y + 2 = log_3 (x + 3)
3^(y + 2) = x + 3
x = 3^(y + 2) - 3
Answer:
48
Step-by-step explanation: