Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
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:

The probability of finding a value higher than x is:

Mean equal to 23.
This means that 
(a) P(X >10)

So
P(X > 10) = 0.6473
(b) P(X >20)

So
P(X > 20) = 0.4190
(c) P(X <30)

So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So






I think you multiply 12 and 16, then divide it by 2
which is 192 divided by 2
=96
Answer:
754.2
Step-by-step explanation:
First of all, we cannot solve the question the way it is. We need to make 0.1 into a whole number. If we move the decimal to the right, once, then it will become the number one.
Of course, what we do to one, we have to do to the other. We move the decimal to 75.42 to the right one. Now it is 754.2
That looks like the answer. The reason is because we are now dividing by one. Something divided by one, will always be itself.
Now we have the answer of 754.2.
Answer:
21.98 to the nearest hundredth.
Step-by-step explanation:
Geometric mean of x and y is √(xy)
= √(21*23)
= 21.98.