Answer:
The expected value of lateness hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
Compute the expected value of lateness as follows:
Thus, the expected value of lateness hours.
Answer:
3m+3p
Step-by-step explanation:
Sum of m and p is expressed as;
m + p (sum means addition)
If 3 is multiplied by the sum, this is expressed as;
3(m+p)
Expand
3m + 3p
Hence the required expression is 3m+3p
We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is: