150 SAMPLING FROM BINOMIAL POPULATIONS Ch. 5 



2. Calculate an estimate of p from the first 25 samples of problem 1, for the 

 next 25, and for the last 25 samples. Discuss the effect their differences would 

 have on the control chart. 



3. Use the estimate of p from the first 25 samples of problem 1 to recompute 

 the UCL for Figure 5.51. 



4. Draw 50 successive samples of 50 each from the laboratory population on 

 fraction defective (furnished by the instructor) and construct a control chart 

 from those observations. 



5. Perform the operations required in problem 4 for a near-normal population 

 furnished by the instructor. 



REVIEW PROBLEMS 



1. Which of the following bridge hands are you the more likely to receive 

 on one future random deal? 



(a) A, K, 10, 4, 3, and 2 of hearts; A, Q, and 10 of diamonds; K, 10, and 3 

 of spades; and the ace of clubs. 

 (£>) No card larger than a 6. 



2. Suppose that a coin is so biased that it turns up heads 3 times for each 2 

 times that it shows tails, on the average. What is the probability that on 8 flips 

 there will be fewer heads than tails? Ans. .17. 



3. Suppose that you have taken the bid in a bridge game and that you and 

 the dummy have all the trumps except Q, 8, 5, and 2. What is the probability 

 that you would get out all the trumps on successive leads of the A and K of 

 trumps? 



