Answer:
And we can find this probability like this:
And we can replace the values and we got:
Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:
And we can find this probability like this:
And we can replace the values and we got:
1. - Cone
2. - Sphere
3. - Cylinder
4. - Pyramid
5. - Prism
Solution:
1.
Lateral surface area of cone =
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere =
where r is the radius of the sphere.
3.
Total surface area of cylinder =
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid =
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism =
where p is the perimeter of the base and h is the height of the prism.