An electronics store has received a shipment of 20 table radios that have connec

Question

An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. 12 of these have two slots (so they can accommodate both devices), and the other 8 have a single slot. Suppose that 9 of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed. Let X be the number among the radios stored under the display shelf that have two slots. What kind of a distribution does X have (name and values of all parameters)? Calculate the mean value and standard deviation of X. Computer P(X 2)? Note. Check the minimum of X before doing computation.

Explanation / Answer

It is a hypergeometric distribution, with population size (N) 20, number of successes (k)=12, and number of trials (n)=9

mean=nK/N=9*12/20=7.2

SD=sqrt(nk(N-n)(N-k)/(N*N*(N-1)))=1.11826933956

P(X>=2)=0.999928554417719

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