Need help with #1 and #2 on this page. Thanks!
1 answer:
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See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:
Given that p=0.18, n=5 , is calculated as:
Hence, the probability of no more than 2 successes in 5 trials is 0.9562