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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.
Hi there! :)
<u>Answer:</u>
Subtract 43 from 20 raised to the 7th power; then multiply by 3. The answer is: <u>3,839,999,871</u>
Step-by-step explanation:
"Subtract" means to take away a number from another.
" 20 raised to the 7th power" is the same thing as 20 exponent 7:
SO, you want to take away 43 from and then multiply the answer by 3:
( - 43) × 3
1,280,000,000
(1,280,000,000 - 43) × 3
1,280,000,000 - 43 = 1,279,999,957
1,279,999,957 × 3
1,279,999,957 × 3 = <u>3,839,999,871</u>
There you go! I really hope this helped, if there's anything just let me know! :)