Answer:
0.43715
Step-by-step explanation:
We solve using z score calculator
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = $276,000
σ is the population standard deviation = 32,000
For x = $276,000
z = 276,000 - 276,000/32000
z = 0
Probability value from Z-Table:
P(x = 276000) = 0.5
For x = $325,000
z = 325,000 - 276,000/32000
z = 1.53125
Probability value from Z-Table:
P(x = 325000) = 0.93715
The probability that the next house in the community will sell for between $276,000 and $325,000 is
P(x = 325000) - P(x = 276000)
= 0.93715 - 0.5
= 0.43715
Answer:
Graph A
Step-by-step explanation:
For each piece of the function the first number is included (0, 4, 8) and second number excluded (4, 8, 12). Included points are solid and excluded are open dots.
It's correctly reflected in A graph only.
Answer:
a) S = {1, 2, 3}
b) P(odd number) = 
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = 
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is
. Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.



P(odd number) =
Prob(1) + Prob(3)
=
= 
Answer: 51,918.
Step-by-step explanation: 200000-148082=51918.