Answer:
The awnser is C
Step-by-step explanation:
Answer:
a) 0.96
b) 0.016
c) 0.018
d) 0.982
e) x = 2
Step-by-step explanation:
We are given with the Probability density function f(x)= 2/x^3 where x > 1.
<em>Firstly we will calculate the general probability that of P(a < X < b) </em>
P(a < X < b) =
=
=
{ Because
}
=
=
=
=
a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }
Comparing with general probability we get,
P(1 < X < 5) =
=
= 0.96 .
b) P(X > 8) = P(8 < X < ∞) = 1/
- 1/∞ = 1/64 - 0 = 0.016
c) P(6 < X < 10) =
=
= 0.018 .
d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)
=
+ (1/
- 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982
e) We have to find x such that P(X < x) = 0.75 ;
⇒ P(1 < X < x) = 0.75
⇒
= 0.75
⇒
= 1 - 0.75 = 0.25
⇒
=
⇒
= 4 ⇒ x =
Therefore, value of x such that P(X < x) = 0.75 is 2.
We need to count the number of games that score 15, 16, 17 and 18
Score 15 = 3 games
Score 16 = 2 games
Score 17 = 5 games
Score 18 = 3 games
Total = 13 games
Answer: Carbon
Step-by-step explanation:
Carbon is considered to be the building block of all living things as it is very important in the formation of compounds that are needed by living things to survive such as Carbohydrates and Protein and many more.
This is down to its ability to form stable compounds with other elements such as Hydrogen and oxygen both of which are present in Carbohydrates and Proteins.
Carbon exists in the Earth's crust as Carbonates in water, rocks, petroleum and living things as well especially plants and trees which release a significant amount if they are cut down.
Answer:
The total charge with the discount is $182
The refund is $78
Step-by-step explanation:
Given data
Charge= $260
Discount=30%
Let us find the amount of the 30%
=30/100*260
=0.3*260
=$78
The new charge after the discount is
=260-78
=$182
The total charge with the discount is $182
The refund is $78