Answer:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this:
Step-by-step explanation:
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
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 
Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We can find the probability required like this:
And using a calculator, excel ir the normal standard table we have that:
And we can calculate the probability like this:
Hearts spades
hearts clubs
hearts diamonds
spades clubs
spades diamonds
clubs diamonds
You could choose two eights one after the other 6 ways.
Answer:
The answer is 1/30 or 0.0333333...
Step-by-step explanation:
The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!
36=90/100 x a; 36=9/10 x a; a= 36/(9/10); a=360/9; a= 40
The Ice Cream shop served 40 customers.
<u>Choice A: </u>
<u />
<u>Choice B: </u>9, 40, 41
<u>Choice C: </u>
Answer:
(B)9, 40, 41
Step-by-step explanation:
To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.
Note that the longest side length is always the hypotenuse.
<u>Choice A: </u><u />
Now, 
Therefore:
These side lengths form an equilateral triangle. They do not satisfy the theorem.
<u>Choice B: </u>9, 40, 41
The longest side length is 41.
Therefore:
These side lengths form a right triangle.
<u>Choice C: </u>
Therefore, the longest side length is 
These side lengths do not form a right triangle.
