23 Jun If the stocks are examined in a random m
If the stocks are examined in a random manner one-by-one, Let X be the number of stocks that have been examined when the first decreased-value stock is found. Find the median value of X.
12. a) Banks only accept coins for deposit if they are rolled in
specified amounts. Pennies, for example, are to be in rolls of 50. A Canadian bank has checked the 200 rolls of pennies they have on hand. Only 12 of the rolls contained all Canadian pennies: the rest all had at least one American penny. Altogether in the 200 rolls, about how many American pennies are there?
b) What is the median number of American pennies in a roll?
c) N.B. This c) part has nothing to do with the a) part.
The number of cars passing a checkpoint is treated by a consulting firm as having a Poisson distribution with a mean of 20 per minute. What does the firm consider the standard deviation in interarrival times to be?
13. a) In an office employees have been categorized according to
seniority and age. Some of the results are cross-tabulated below.
Management White-collar
Aged 50 or more 8 32
Aged less than 50 12 28
i) If 10 workers from the office are selected at random,
what is the probability of at least 3 white-collar workers amongst those chosen?
ii) If 10 workers aged less than 50 are selected at random from the office, what is the probability of at most 3 management workers amongst those chosen?
b) A thick book with 1200 pages has quite a few typographical
errors. There are only 180 pages without typographical errors in the whole book. If typographical errors occur randomly, about how many pages in the book have three typographical errors?
d) What is the median number of typographical errors per page?
16. A time-and-motion-study consultant has been hired at Eurelia Industries Limited. She has identified a certain work station as a bottleneck in production. Initial data suggest that the times required for processing pi
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