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Q. What is the standard deviation of the number of recoveries among 48 patients when the probability of recovering is 0.75?
  • a)
    36.
  • b)
    81.
  • c)
    9.
  • d)
    3.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
(Direction 4- 27)Write down the correct answers. Each question carries...
Solution:
Given, probability of recovering = 0.75
Number of patients = 48

1. Expected Value:
The expected value of the number of recoveries can be calculated as follows:
Expected Value = Number of patients × Probability of recovering
Expected Value = 48 × 0.75
Expected Value = 36

2. Variance:
The variance of the number of recoveries can be calculated as follows:
Variance = Number of patients × Probability of success × Probability of failure
Variance = 48 × 0.75 × 0.25
Variance = 9

3. Standard Deviation:
The standard deviation can be calculated by taking the square root of the variance:
Standard Deviation = √(Variance)
Standard Deviation = √(9)
Standard Deviation = 3

Therefore, the correct answer is option 'D' (3).
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Community Answer
(Direction 4- 27)Write down the correct answers. Each question carries...
Because 3 is the latest number so it is
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(Direction 4- 27)Write down the correct answers. Each question carries 2 marks.Q.What is the standard deviation of the number of recoveries among 48 patients when the probability of recovering is 0.75?a)36.b)81.c)9.d)3.Correct answer is option 'D'. Can you explain this answer?
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