Estimate the product 57×29
1 answer:
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Answer:
The expected number of the people at the reception whose favorite snack will be chips is 1152
Step-by-step explanation:
Given
The data in the above table and
Reception = 3600
Required
Predict the number of the people at the reception whose favorite snack will be chips.
The first step is to determine the total number of samples;
The next step is to determine the fraction of people whose favorite is chips
The product of the above fraction and the expected number of people in the reception is the solution to this question;
<em>Hence, the expected number of the people at the reception whose favorite snack will be chips is 1152</em>
Answer:
First part
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference:
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 data of a population, and for this case we know the distribution for X is given by:
Where and
First part
And for this case we want this probability:
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference: