Answer:
Option (A) 0.40951
Step-by-step explanation:
We are given the following information in the question:
P(target) = 0.90
Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.
The probability distribution of X is
x: 0 1 2 3 4 5
P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049
The mean of discrete probability distribution is given by:

Now, we have to evaluate

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.
Answer:
1.083
Step-by-step explanation:
1. 4 times 6
2. 8 divided by 2
3. 4 squared 2

The ratio of
= - 34
How to solve such questions?
Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.
Completing the square is a method that is used for converting a quadratic expression of the form
to the vertex form
. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square:
, such that the left side is a perfect square trinomial
= 
=
(Completing Square method)
=
On comparing with the given equation we get
p = -
and q = 
∴
= 
= - 34
Learn more about completing the square method here :
brainly.com/question/26107616
#SPJ4
Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.
Step-by-step explanation: