5. What is M (3x - 24) (42+11)
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:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%
Step-by-step explanation:
Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:
Where and
We want to find this probability:
And we can use the z score formula given by:
Using this formula we have:
And we can find this probability using the normal standard distribution table and we got:
And the percentage faster than 13.28 seconds would be 91.9%