and
There are 6 possible outcomes when rolling a die, 1, 2, 3, 4 , 5, 6
A
numbers less than 4 are 1, 2, 3
P( number less than 4 ) = =
B
numbers greater than 4 are 5, 6
P( number greater than 4 ) = =
Simplify the radical expression.
1 answer:
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Step-by-step explanation:
Ethan sold 2/3 gallon of lemonade.
Kayla sold some lemonade too.
Together they sold 1 1/4 gallons.
Subtract 2/3 from 1 1/4 as follows :
So, Kayla sold 7/12 gallons of lemonade.
As 2/3 is more than 7/12, it means Ethan sold more lemonade.
It means Eathn sold 1/12 more lemonade.
Answer:
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:
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 using the complement rule: