Problem Solving and Improvement - Assignment Example

By drawing the sample of fifty cards, I did not get a defective deck since I did not pick any joker or king cards which were theoretically assigned the value of a defective card. Thus, it is my reasoned opinion and line of thought that the deck that I did chose from the shuffle of cards was not defective to that extent. The second draw that I with replacement has a defect since I got a king thereby meaning that the permutations that I did with the previous set of cards could not be repeated. This is to say that the cards that I drew on the second ruffle gave me a defective result since I got a king card which we theoretically assigned the value of a defective score or card.

I did not get 25% of each suit because the sample given which is 13 did not represent the whole population which is given as 52. There was variation in the number and types of cards selected resulting in less than 25% number of suits chosen. Therefore, about my sample, I have a bad deck since I am unable to choose a 25% number of suits. When using a single sample a proportion of 0.192 is obtained. For example, 10/52 gives as 0.192. Therefore, a single sample does not give a clear representation of the population since its proportion is less as compared to the population it represents.

Also, when comparing the average sample to a single sample, the average for the 10 samples gives a greater proportion than the single sample. On the other hand, the average sample gives a good representative of the whole population since its proportion is closer to the population. It is not possible to get 25% of each suit because the sample proportion is small. Also, when we repeat with 5 samples, the outcome will be the same. The conclusion is that it is difficult to get 25% of each suit when using fewer samples.

Therefore, the higher the number of samples used the higher the chances of getting 25% of each suit. 10/52 gives 0.1923 or 19.23%, 26/52 gives 0.5 or 50%, 51/52 gives 0.9808 or 98.08%.