Suppose X has an exponential distribution with mean equal to 11. Determine the following: (a) (Round your answer to 3 decimal places.) (b) (Round your answer to 3 decimal places.) (c) (Round your answer to 3 decimal places.) (d) Find the value of x such that . (Round your answer to 2 decimal places.)

Step-by-step explanation:

Given

--- Mean

Required (Missing from  the question)

(d) x such that

In an exponential distribution:

--- the pdf

--- the cdf

In the above equations:

Substitute 11 for E(x)

Now, we solve (a) to (d) as follows:

Solving (a): P(X>11)

Substitute 11 for x in

Remove bracket

Solving (b): P(X>22)

Substitute 22 for x in

Remove bracket

Solving (c): P(X>33)

Substitute 33 for x in

Remove bracket

Solving (d): x when

Here, we make use of:

Substitute

So, we have:

Subtract 1 from both sides

Reorder the equation

Substitute 1/11 for

Solve for x:

--- approximated

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The solution is in the following image

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

The answer is in the image