Question

A 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 0 1 1 2 3 4 5 6 7 8 9 10 Frequency 4 23 58 105 122 104 59 20 4 0
Fit a binomial distribution to the above data and calculate the expected frequencies. Also comment on goodness of fit.​

Answer 1

Binomial distribution to the above data is the result of most multiple card draws is not the sum of the cards. The expected frequency will be 122

"A binomial distribution is the sum of the events independently with the outcome possibility and probability."