A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of
1 answer:
The demand that has an 8% probability of being exceeded is 38.1230 .
<h3>What is probability?</h3>Probability is the aspect of mathematics that focus on the occurrence of a random event.
This is calculated below:
The normal random variable having the mean is been given as :
(Mu = 31.8)
The standard deviation is been given as ( sd = 4.5)
Then in making our calculation, we will need to make use of the formular below:
But we know that going with the probability of 0.08
where k = 1.4051
P (Z > 1.4051)
k = 1.4051
we can have the expression for k as
This can be simplified as:
X = 4.5 (1.4051) + 31.8 = 38.1230.
Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .
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Answer:
This is the Law of <u>large</u> Numbers.
Step-by-step explanation:
The Law of Large numbers states that as the sample size is increased the sample mean value gets closer to the population mean.
That is, as <em>n</em> → ∞ the value of → μ.
For instance, the theoretical probability of getting a Heads in a toss of a coin is, 0.50.
To check this perform an experiment whether the coin is tossed 20 times.
The probability of heads will be somewhere near 0.50.
Now toss the coins 50 times.
The probability of heads will be now closer to 0.50.
Now toss the coins 100 times.
The probability of heads will be approximately equal to 0.50.
Thus, as the number of tosses was increased the probability of getting a head is closer tot he theoretical probability.
Thus, the complete statement is:
This is the Law of <u>large</u> Numbers.
Answer:
Step-by-step explanation:
The function approaches its horizontal asymptote in both directions as the magnitude of x gets large. The limit is y = 1.
