Answer:
a) P(X=x) = p× (1-p)^(x-1)
b) P(X=3) = 0.081
c) P(X≤5) = 0.40951
d) Mean of X= 10
e) Var(X)= 90
Step-by-step explanation:
This is a question on geometric distribution.
In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.
This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)
For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}
We stop the trials when we get a success.
From the question, there are 10 numbers
The probability of success = p = 1/10
For the solutions of the question from (a-e), See attachment below.
f(x) = P(X= x)
Where P(X= x) is the probability of X taking on a value x
X+Y=60kg
X=60-Y
X*0.2+Y*0.7=60*0.5
(60-Y)*0.2+Y*0.7=30
12-0.2*Y+0.7*Y=30
0.5*Y=18
Y=36 kg
X=60-36
X=24 kg
The metal worker should use 24 kilograms of the metal alloy that is 20% copper and 36 kilograms of the metal alloy that is 70% copper.
Answer:
The correct answers for the function are vertical and x=0
Step-by-step explanation:
Keep in mind that an asymptote is a line that a curve approaches, but never touches. When plotted on the graph the answer can be found!
Hope this helped!
Hey there!
The answer to your question is the third option; 
First, we'll start by simplifying your expression. Given:
Distribute the 
:
Add 
and 
:
Therefore, the third option is correct.
Have a terrificly amazing day! :)
Actually Welcome to the Concept of the Circles.
The centre of the circle is given as, (h, k)
The equation in form of centre and radius of the circle is given as,
===> (x-h) ^2 + (y-k) ^2 = r^2
hence, the equation would be,
===> (x-90)^2 + (y-195)^2 = (88)^2
