Answer:
The PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Step-by-step explanation:
Let x denote P(B=1), we know that
P(B=0) = 1-0.3 = 0.7
P(B=1) = x
P(B=2) = x/2
P(B=3) = x/4
P(B=4) = x/8
Also, the probabilities should sum 1, thus
0.7+x+x/2+x/4+x/8 = 1
15x/8 = 0.3
x = 0.16
As a result, the PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Answer: cubic inches.
Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.
Step-by-step explanation:
We're going to convert all of these to km/h.
Sapons: 80km/2h => <u>40kmh</u>
Silvers: 180km/3h => <u>60kmh</u>
Johns: <u>50kmh</u>
Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => <u>70kmh</u>
Now that they're all in the same form we can put them from least to greatest.
Answer:
(Least) - Sapons
- Johns
-Silvers
(Greatest) - Cunninghams
Answer:
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.645.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours
The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.
