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






Answer:
The value of the annuity is $326,852.3766.
Step-by-step explanation:
Here is the required formula to find the present value of annuity:
We can find the present value of annuity:

Here:
P = $50,000
n = represents the number of number of periods
r = 0.11

PV = $326,852.3766
The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.
Keywords: discount rate, present value of annuity
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Answer:
Width
Step-by-step explanation:
When we have quantitative data it is grouped in classes. There are three ways in which the data can be grouped they are:
Single value grouping where each class has one distinct value.
In Cutpoint grouping is used when the observations have decimal points
In Limit grouping a classes are set based on a specified range of values. Here limit grouping is being done and the range of each class is called width.
Answer:
Too tired to explain, here's some digital steps by Symbolab:
Answer:
x=35
Step-by-step explanation:
cross multiply
5/4 40/x
40*4/5
=160/5
x=35