Answer:
a) 20 second
b) 20 second
c) 1 minute
Step-by-step explanation:
Let X be the exponential random variable arising from the Poisson process with the rate λ = 3 counts per minute. Its cdf is then given by:
F(x) = I - e^-3x, x >= 0
Calculate the mean and the standard deviation of the random variable X as follows:
Е(X) =I/λ =I/3=20 second
std (x) =√1/λ^2=1/3=20 second
For the part c), write down the equation:
0.95 = P(X < x) = F(x) = I - e^-3x
and solve the equation for x to obtain:
x = -1/3 In 0.05 = 0.9985 ≅ 1 minute
It is: 5.61 times 0.15 = 0.8415
Answer:
4(2 - x)(2 + x)
Step-by-step explanation:
16 - 4x² ← factor out 4 from each term
= 4(4 - x²) ← difference of 2 squares
= 4(2 - x)(2 + x) ← in factored form
Answer:
go to The unit circle edgenunity on quizlet it gives you the answers
Step-by-step explanation:
can I get brainliest
Answer:
The ratio that exist between this three elements are 25 : 19 : 13.
Step-by-step explanation:
Ratio compares one thing to another. Ratios indicate the comparison of the size of a number to another . One trick about ratio is that you can multiply or divide the ratios by same number. For example the ratio of boy to girls can be represented as 3 : 4. If you multiply the ratios by 2 you will get the ratio 6 : 8 and it still represent the same ratios of boys to girls. Ratios can be written as a fraction for example 3/4 for our example.
The cost of the unit is made up of $6.25 , $4.75 and $3.25.
$6.25 $4.75 $3.25 . Let us multiply by 100 to remove the decimals.
625 : 475 : 325 . Now let simplify the ratios by dividing through by 25.
625/25 : 475/25 : 325/25 . The simplest ratios can be written as follows
The ratios are 25 : 19 : 13.
