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It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 10 people. Let x represent the number of left-handers.

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  1. It is believed to be true that 15% of the U.S. population is left-handed. You randomly select 10 people. Let x represent the number of left-handers.

 

  1. Construct a binomial distribution. (4 decimal places or give answers in scientific notation if necessary.)

 

  1. Find the probability that exactly 8 people are left-handed.

 

  1. Find the probability that less than 3 people are left-handed.

 

  1. Find the probability that at least 1 person is left-handed.

 

  1. Find the mean of the binomial distribution.

 

  1. Find the standard deviation of the binomial distribution.

 

  1. Complete the following sentence:
  2. In our class data, we surveyed a TOTAL (males and females) of _____ (n) students and found that _____ (x) were left-handed.

 

  1. Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x “lefties” (Use the numeric values for n and x from our class data.)

 

  1. We noted that an event that occurs with a probability of 0.05 or less is considered unusual. Is the number of “lefties” (x) in our data unusual? (State yes or no)

 

  1. Assuming that 15% of the population is left-handed and we surveyed a total of (n) students, calculate the mean.

 

  1. Using the mean from part d, should we have expected more or less “lefties” in our class data