23556 rounded to the nearest ten thousand
1 answer:
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Answer:
The mean of the total payments she will receive is $79,500.
The standard deviation of the total payments she will receive is $14,000.
Step-by-step explanation:
Given : An author receives a contract from a publisher, according to which she is to be paid a fixed sum of $20,000 plus $3.50 for each copy of her book sold. The author judges that her uncertainty about total sales of the book can be represented by a random variable with a mean of 17,000 and a standard deviation of 4,000 books.
To find : The mean and standard deviation of the total payments she will receive ?
Solution :
Let 'x' represent total sales of the book.
Let 'y' represent the payment to the author.
According to question,
The mean of the total payments she will receive is given by,
Where,
Substitute in the equation,
The mean of the total payments she will receive is $79,500.
The standard deviation of the total payments she will receive is given by,
Where,
Substitute in the equation,
The standard deviation of the total payments she will receive is $14,000.
Answer:
The percentage of students who scored below 620 is 93.32%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Percentage of students who scored below 620:
This is the pvalue of Z when X = 620. So
has a pvalue of 0.9332
The percentage of students who scored below 620 is 93.32%.