An electronics store has received a shipment of 25 table radios that have connec

Question

An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other fifteen have a single slot. Suppose that seven of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots.

(b) Compute

P(X = 2), P(X 2), and P(X 2).

(Round your answers to four decimal places.)

Explanation / Answer

This is example of hypergeometric distribution

Using online calculator we can get the required probability as below

Here Population size = 25, Number of success in population=10, sample size=7 and success in sample size=2

so P(x=2)=0.2811

P(x<=2)=0.3986

P(x>=2)=0.8825

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