The arc length of the curve is
which has a value of about 5.99086.
Let . Split up the interval of integration into 10 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]
The left and right endpoints are given respectively by the sequences,
with .
These subintervals have midpoints given by
Over each subinterval, we approximate with the quadratic polynomial
so that the integral we want to find can be estimated as
It turns out that
so that the arc length is approximately
Answer:
The correct option is (B) 0.173.
Step-by-step explanation:
The law of total probability states that:
The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:
Then the probability of intersection of A and B is:
Denote the events as follows:
<em>H</em> = a man died from causes related to heart disease.
<em>X</em> = a man had at least one parent who suffered from heart disease
The information provided is:
The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, .
Compute the value of as follows:
Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.
The correct option is (B).