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2. a data point at the 75th percentile corresponds to what cumulative p…

Question

  1. a data point at the 75th percentile corresponds to what cumulative probability?

a. 1.00
b. 0.75
c. 0.25
d. 0.50

Explanation:

Step1: Recall percentile - cumulative probability relationship

The p - th percentile represents the value below which p% of the data falls. The 75th percentile means that 75% of the data is below this value. Cumulative probability is the probability that a random variable is less than or equal to a certain value.

Step2: Convert percentage to decimal

To convert 75% to a decimal, we divide 75 by 100. So, 75% = 0.75.

Answer:

B. 0.75