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Probability Questions on Immunity and IQ

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2. The probability that a person is immune to a certain disease is 0.40.
a) What is the probability that 4 people will have the disease in a sample of 12 people
b) Find the mean number of people who have immunity in a sample size of 12.
c) Find the standard deviation for the same sample

3. If the capacities of the cranial cavities of a certain population are approximately normally distributed with a mean of 1400cc and a standard deviation of 125, find the probability that a randomly selected person from the given population will have a cranial capacity greater than 1450cc.

4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a random sample of 50, approximately how many people will have IQ scores between 95 and 105

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Solution Summary

3 probability questions are answered, including finding standard deviations and means with all calculations displayed

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2) p = .40

a) P(4)= (12 C 4) *( .4^8) * (.8^4)( Prob that 8 people dont have it and 4 people have it and Prob of not having = .4)
= .1328

b) Mean Number = N*p = 12*.4 = ...

Solution provided by:
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
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