Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Answer:
835.49
Step-by-step explanation:
selling price = original cost + markup value
We need to find the markup
markup = original cost * markup percent
= $784.50 * 6.5%
= $784.50 *.06.5
=50.9925
Rounding to the nearest cent
=50.99
selling price = original cost + markup value
=784.50+50.99
835.49
Answer:
If inflation rate is positive, purchasing power of money decreases thus the rate of returns on investment decreases.
Step-by-step explanation:
When the prices of goods and services are averagely increasing we say that inflation is positive.Purchasing power is high when a currency value is able to purchase more goods and services as per unit of money can buy.when inflation is positive, the amounts of goods and services that can be purchased is reduced.
Answer:
For the critical value we need to calculate the degrees of freedom given by:

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

Step-by-step explanation:
Previous concepts
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value with right arm , y = test value with left arm
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
For the critical value we need to calculate the degrees of freedom given by:

And since we have a one tailed test we need to look in the t distribution with 9 degrees of freedom a quantile who accumulates 0.05 of the area on a tail and we got:

Answer:
radius = 9 inches
Step-by-step explanation:

r = radius
Area = 254.4696 square inches
so we have:

so we have: r = 9 inches