Answer:
The probability of exactly 2 breakdowns next month = 0.08422
Step-by-step explanation:
To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.
P(X = x) = (e^-λ)(λˣ)/x!
Mean = λ = 5 breakdowns per month
x = 2 breakdowns per month
P(X = 2) = (e⁻⁵)(5²)/2!
P(X = 2) = 0.08422
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Answer:
50
Step-by-step explanation:
Answer:
a) 
b) 
c) 
With a frequency of 4
d) 
<u>e)</u>
And we can find the limits without any outliers using two deviations from the mean and we got:

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case
Step-by-step explanation:
We have the following data set given:
49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000
Part a
The mean can be calculated with this formula:

Replacing we got:

Part b
Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

Part c
The mode is the most repeated value in the sample and for this case is:

With a frequency of 4
Part d
The midrange for this case is defined as:

Part e
For this case we can calculate the deviation given by:

And replacing we got:

And we can find the limits without any outliers using two deviations from the mean and we got:

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case