A fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined th
1 answer:
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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:
Answer:
Height of the kite from the ground is 29.2 feet.
Step-by-step explanation:
For better explanation of the solution, see the figure attached :
The angle formed by the height of kite to that of the surface of the ground is right angle.
⇒ m∠ABC = 90°
Let angle of elevation be θ
Now, to find height of the kite : find length of AB
In right angled triangle ABC , using tan rule, we have
Hence, Height of the kite from the ground is 29.2 feet.
