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A blood plasma donation company accepts 40 4040 volunteers per day. Based on previous data, they know that 15 % 15%15, percent of volunteers will be turned away for some reason. Let X XX represent the number of patients that get turned away in a set of 40 4040 volunteers. Find the mean and standard deviation of X XX.

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Using the mean and standard deviation of proportion formula, the mean and standard deviation of X are 6 and 2.26 respectively.

Given the Parameters :

  • Sample size, n = 40
  • Sample proportion, p = 0.15
  • q = 1 - p = 1 - 0.15 = 0.85

The sample mean can be calculated thus :

  • Mean = np

Mean = (40 × 0.15) = 6

The sample standard deviation can be calculated thus :

  • Sample standard deviation, σ = √(n × p × q)

Sample standard deviation, σ = √(40 × 0.15 × 0.85)

σ = √5.1

σ = 2.26

Hence, the standard deviation is 2.26.

Learn more : https://brainly.com/question/25694755

Answer: Mean: 6

Standard Deviation: 2.26

Step-by-step explanation:

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