Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:

where
are the values that the variable can take and
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:

Where 
So, the variance V(x) is equal to:

Finally, the standard deviation is calculated as:

Im not too sure so dont take my word.
But if you're rounding the fraction to half or whole.
I would round down from 8/14 , to 7/14.
Which 7/14 simplified is 1/2
Your answer is 7/14 i believe
Answer:

Where x represent the distance and t the time if we replace the info given we got:

Then the average speed for this case in m/s is 3.704 for the 200 meter race
Step-by-step explanation:
The problem provides for this case the amount of distance travelled by Jessica in a given time. And we know that travels 200m in 54 seconds.
We want to find the average speed and we can use the following formula:

Where x represent the distance and t the time if we replace the info given we got:

Then the average speed for this case in m/s is 3.704 for the 200 meter race
You have correctly answered the last 3 questions in this list, so the answer to the first one left blank is no.
This is because 455,000 rounded to the nearest ten thousand is 460,000, rounding to 456,000 is rounding to the nearest one thousand.
I hope this helps!
Answer:
kind of
Step-by-step explanation:
their simalar because their right triangles but differnt because of size