Question

You have the following measurements: 140,138,127,150,152,142,136,132,152,148,144,132,147,143,139,142,140,134

1. What's the probability a new measurement would be less than 120?

2. Between 140-150?

3. Greater than 170?

Answer 1

Solution:
Total number of measurement = 18
Let's sort the data from the Smallest to the largest measurement value
127, 132, 132, 134, 136, 138, 139, 140, 142, 142, 142, 143, 144, 147, 148, 150, 152, 152
Solution(a)
Probability less than 120 = (Number of measurement less than 120)/ Total Number of measurment = 0/18 = 0%
So there is 0% probability that a new measurement would be less than 120.
Solution(b)
P(Measurement between 140 - 150) = (Number of measurement between 140-150)/ Tota number of measurement
Number of measurement between 140-150 is (140, 142, 142, 142, 143, 144, 147, 148, 150) = 9
P(Measurement between 140 - 150) = (Number of measurement between 140-150)/ Tota number of measurement = 9/18 = 0.5
So there is a 50% probability that a new measurement would be less than 140-150.
Solution(c)
Probability Greater than 170 = (Number of measurement greater than 170)/ Total Number of measurement = 0/18 = 0%
So there is a 0% probability that a new measurement would be greater than 170.