Answer:
a) Binomial distribution B(n=12,p=0.01)
b) P=0.007
c) P=0.999924
d) P=0.366
Step-by-step explanation:
a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.
b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

Then,

c) In this case, the distribution is B(1200,0.01)

d) In this case, the distribution is B(100,0.01)
We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:

The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
true.
2. c=14, a=4, b=11:
false.
3. c=17, a=9, b=14:
false.
4. c=16, a=8, b=14:
false.
5. c=17, a=8, b=15:
true.
Answer: correct options are A and E.
Answer:
the answer is c = (ad)/b
Step-by-step explanation:
See the picture
Answer with Step-by-step explanation:
The radius of the bull’s-eye of the dartboard is 8 inches.
The radius of each concentric circle is 8 inches more than the radius of the circle inside it.
Radius of first circle=8 in.
Radius of second circle=16 in.
Radius of third circle=24 in.
Radius of fourth circle=32 in.
Area of C=Area of the third circle-Area of second circle
= π×24×24-π×16×16
= 320π sq. in.
Total area of dartboard=Area of fourth circle=π×32×32
=1024π sq. in.
P( the dart will hit in area C)= area of c/total area of dart board
=320π/1024π
= 5/16
Hence, correct option is:
B.5/16