Answer:
a) 0.0821
b) 0.0111
c) 0.0041
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5


(b) lambda=0.9


(c) lambda=1.1


Answer:
114.3cm^3
Step-by-step explanation:
Square Pyramid Formulas derived in terms of side length a and height h: Volume of a square pyramid
V = (1/3)(Base area of a square)(Height of the square pyramid).
V = (1/3)area
hight
Area of the square
A = 7 x 7
A = 49
V = (1/3)49 x 7
V = (1/3)343
V = 114.(a repeating term)3
since we rounded
V = 114.3cm^3
Answer: 4258.33
Step-by-step explanation: 365 x 35= 12775/3= 4258.33