Answer:
the answer would be 48
Step-by-step explanation:
27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
Answer:
c. Car color (e.g. red, blue, grey)
Step-by-step explanation:
There are four level of measurements: Ordinal, Nominal, Interval and Ratio.
- Ordinal variables are categorical variables and have a ordered categories. For example,the health of patients: Excellent, Good, Average and Poor.
- Nominal variables are also categorical variables but they do not have a ordered category or any numerical value. For example, Gender: Male or Female, or Occupation:, Accountant, Clerk, Manager.
- Interval variable are variables that take numerical values. These variables are ordered and the difference between two values is meaningful. For example, temperature in degrees F.
- Ratio variable are type of interval variables but they do not have a variables with a 0 measurement. For example, height, age, money.
Considering all the option:
(a) Age (in years) is an interval variable.
(b) Age grouped as < 18, 18 - 29, 30-59, 60 > are basically ordered categorical variables. Thus, they are ordinal variables.
(c) Car Color (red, blue, grey) are nominal variable because they are not ordered and cannot be measured.
(d) Letter grade in a course (A+, A, A-, B+, B) are also ordinal variables because they are ordered and represent the performance quality of the student.
Thus, the correct answer is (c).
3 layer 14 cases multiply
3×14=42 cases
