Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer:
Cost = RM 857143
Loss = RM 107143
Step-by-step explanation:
<u>Given:</u>
- Selling price SP = RM 750000
- Loss% = 12.5
- Cost price CP = x
<u>Cost price is found as:</u>
- SP = CP - 12.5%
- 750000 = x - 12.5%
- 750000= x*(100-12.5)/100
- 750000= 0.875x
- x= 750000/0.875
- x≈ RM 857143
<u>Loss is:</u>
- RM 857143 - 750000 = RM 107143
The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
P(Male or Type B) = (number of male + number of type B - number that are both)/total population
= 0.575
P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)
= 38/(38 + 12)
= 0.76
0.575 < 0.76
P(Male or Type B) < P(Male | Type B)
Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Answer:
45
Step-by-step explanation:
i took the test
So all you have to do to solve these problems is substitute the y coordinate and the x coordinate into the equation.
So question 1 would be true because when you substitute the numbers in it equals the y value.
Question 2 is (4, -7)
Question 3 is False
Question 4 is true
Question 5 is true
See if you can do the rest!
