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Binomial Random Variables A survey of 933 Intro Stat students produced the following results. Frequency table...

Binomial Random Variables

A survey of 933 Intro Stat students produced the following results.

Frequency table Count = 933

Tattoos

Frequency

No

700

Yes

233
  1. What is the probability that an Intro Stat student has a tattoo?
  • 0.20

  1. Suppose we take a random sample of 15 students taking Introductory Statistics this semester and observe the number who have tattoos. Let X = # of students with tattoos observed out of the 15 students
    1. What are the possible values of X?

  1. X has a binomial distribution with parameters n and p. What are the parameter values?

  1. What is the probability that exactly 4 of the 15 students have tattoos? 0.188

  1. What is the probability that none of the 15 students have tattoos?0.46
  1. What is the probability that at least one of the 15 students have a tattoo?

  1. Calculate the average number of students having tattoos that we would expect for this sample.

  1. Calculate the standard deviation for the number of students having tattoos.
  1. What would be considered an unusually high number of students having tattoos in this sample of 15 students?
math   Statistics-And-Probability   
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