Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = 
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric = 
also; x ≅ geometric (p)
∴ E (x) =
⇒
= 4 ; also
= 2
E (Y) = 4 ×
+ 2 ×
= 2+1
E (Y) = 3
Answer:
Distance is
units
Step-by-step explanation:
Use the distance formula which is
where
is the distance between points
and 
We are given that
is
and
is
, therefore the distance between the two points is:






Therefore, the distance between
and
is
units.
The area of the rectangular part = 14 x 20 = 280 sq. cm
The area of the half circle = 1/2 (3.14 x 7^2) = 76.9 sq. cm.
Total area = 280 + 76.93 = 356.9 cm^2