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When transmitting messages from

by | Dec 1, 2023 | Posted Questions

Probability: Word Problems

1. When transmitting messages from a point A to a point B,
out of every 40 messages 6 need to be corrected by applying error correcting
codes. What is the probability that in a batch of 200 messages sent from A to
B, there will be between 38 and 42 messages that will have to be corrected.

2. The probability of an event A occurring in each of a
series of independent trials is 2/3. Find the distribution function of the
number of occurrences of A in 9 trials.

3. The probability that a network will be shut down on any
given day is .0003. What is the probability that the network will be shut down
twice in 5000 days.

4. 82% of items are “regular” and 77% of regular
items are “top quality.” What is the probability that a randomly
picked regular item is of the top quality?

5. You have two boxes. 27 out of 30 items in the first box
are “regular” and 11 out of 15 items in the second box are
“regular.” A randomly chosen item is taken from the second box and
placed in the first. What is the probability that a randomly picked item from
the first box is regular?

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