According to the website nationalbikeregistry, at the campus of UC Berkeley 12% of registered bicycles are stolen each year. Suppose a random sample of 160 registered bicycles at UC Berkeley is selected. Let the random variable X be the number of bicycles that were stolen in the past year. What are the values of the parameters for the binomial random variable X?

n = 160

p = 0.12

Explanation:

In a Binomial distribution two parameters are of great interest, n and p.

where n is the number of trials and p is the probability of success and (1 - p) is the probability of failure.

p = 12%

n = 160

Mean = E(X) = μ = n*p = 160*0.12 = 19.2

μ = 19.2

variance = σ² = np(1 - p) = 160*0.12(1 - 0.12) = 16.89

standard deviation = σ = √16.89 = 4.11

σ = 4.11

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