Answer:
Discrete(b,c and d)
Continuous (a and e)
Step-by-step explanation:
<u>Discrete</u>
Discrete Random variables are variables that can only take on integer values. Therefore the following are discrete variables.
b. The number of fish caught during a fishing tournament. e.g. 6 fishes
c. The number of statistics students now reading a book. e.g. 12 Students
d. The number of textbook authors now sitting at a computer. e.g. 9 Authors
<u>Continuous</u>
Continuous random variables can take on an uncountable number of values.
a. The time it takes for a light bulb to burn out. e.g.178.897 seconds
e. The height of a randomly selected giraffe. e,g 16.67 feet
Answer:
32 x p/100 = 40
(Solve for P)
Multiply by 100 on both sides
32x = 4,000
Divide by 32 to get:
X = 125%
(reason why you multiply by 100 is because opposite of division is multiplication and we multiply the number "100" because we always multiply the denominator to both sides when having a fraction so you can solve for p or whatever. And that means p/100 x 100 it means p because since p is not a known value we consider 1/100 x 100 = 1, a variable by itself means 1 so you could just put p by itself next to the number its multiplied by which is 32 so it would be 32p because your multiplying both and the opposite of that would be dividing by 32 on both sides because you are getting rid of the 32 so therefore you will be left with: X = 125)
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
It is given in the question that
Emily’s last water bill listed a previous reading of 7,123 ccf and a present reading of 7,171 ccf. Her water company charges $0.73 per ccf of water.
Therefore number of ccf is
And company charges $0.73 per ccf.
So for 48 ccf, company charges
And that's the required answer .
Answer: 40 times.
Step-by-step explanation:
If the probability in a sigle spin of getting the colour pink is p = 0.2
This means that in 0.2*100% = 20% of the spins we should see the colour pink.
Then, out of 200 spins, the 20% of 200 is
(20%/100%)*200 = 0.2*200 = 40
This means that out of 200 spins, in around 40 of them we will se the colour pink.
