A card is drawn at random from a full pack of playing cards, then replaced and after
shuffling another card is drawn at random. The process is repeated 10 times and the
number of black cards is noted. The following table shows the results of 500
repetitions of the experiment.
No. of black cards : 0 1 2 3 4 5 6 7 8 9 10
Frequency : 1 4 23 58 105 122 104 59 20 4 0
Fit a binomial distribution to the above data and calculate the expected frequencies.
Also test goodness of fit.
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