A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of car
s he expects to sell over the next
10 years.
How would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars priced from $45,000 to $50,000 and projects sales of 200 cars in each category?
The distribution will exhibit symmetry.
The distribution will exhibit a positive skew.
The distribution will exhibit a negative skew.
The distribution will be uniform throughout.
10 years.
How would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars priced from $45,000 to $50,000 and projects sales of 200 cars in each category?
The distribution will exhibit symmetry.
The distribution will exhibit a positive skew.
The distribution will exhibit a negative skew.
The distribution will be uniform throughout.
2 answers:
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Answer: The probability that a gene is of type A is 0.29.
Step-by-step explanation:
Let A be the event of type A.
Let B be the event of type B.
Let D be the event of dominant.
So, P(B and D) = 0.22
P(D|B)=0.31
So, Using the conditional probability, we get that
So, the probability that a gene is of type A is given by
Hence, the probability that a gene is of type A is 0.29.
Answer:
a)
b)
Step-by-step explanation:
a) The first part requires that we use line integral to evaluate directly.
The line integral is
where C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 2)
The boundary of integration is shown in the attachment.
Our first line integral is
The equation of this line is y=0, x varies from 0 to 1.
When we substitute y=0 every becomes zero.
Our second line integral is
The equation of this line is:
y varies from 1 to 2.
We substitute the boundary and the values to get:
The 3rd line integral is:
The equation of this line is
x varies from 0 to 1.
We substitute to get:
The value of the line integral is
b) The second part requires the use of Green's Theorem to evaluate:
Since C is a closed curve with counterclockwise orientation, we can apply the Green's Theorem.
This is given by:
We choose our region of integration parallel to the y-axis.
