Histogram of X 0.4 Relative Frequency 0.

Consider the experiment of dropping 5 thumb tacks and noting how each tack lands: either point up or point down.

1.Let X = number of tacks that land point down out of the 5.

Assuming that the tacks are fair, complete the probability distribution below.

x    p(x)

?    ?

?    ?

?    ?

?    ?

?    ?

?    ?

2. Suppose you obtain 50,000 of these tacks all made at the same location by the same manufacturer. You take 5 tacks at a time, drop them, and record X = the number of tacks that land point down. You then obtain a histogram of the 10,000 values of X. The histogram is shown in the attached pdf file below.

What would you conclude?