Answer: a) 0.0000002, b) 15, c) 0.99996.
Step-by-step explanation:
Since we have given that
n = 500
p = 3% = 0.03
q = 1-0.03 = 0.97
So, we will use "Binomial distribution".
(a) What is the probability that none fail during the warranty period?
(b) What is the expected number of failures during the warranty period?
(c) What is the probability that more than 2 units fail during the warranty period?
Hence, a) 0.0000002, b) 15, c) 0.99996.
Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism=
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒
cross multiplying
⇒
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle=
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.