Question: 1. US phone numbers, excluding the country code, are composed of 10 digits (0-9). Compute the probability of the following events: a. Receiving a
1. US phone numbers, excluding the country code, are composed of 10 digits (0-9). Compute the probability of the following events: a. Receiving a random call and observing a number from Champaign (217) b. Receiving a random call and observing a number that starts with an 8 and ends in 34 c. Receiving a random call and observing a number where each other digit is an odd number; example: (298) 341-2789 d. Receiving a random call and observing a number consecutive to your own phone number 2. Bit strings are constructed using only O's and 1's. Assume all bit strings we observe have length 10 and all possible bit strings are equally likely. Compute the probability of the following events: a. Observing a balanced bit string: a string with an equal number of 0's and 1's b. Observing a 0-unbalanced string: a string with more O's than 1's c. Observing a bit string starting with the sequence 0101 d. Observing a bit sequence ending in 101 1. US phone numbers, excluding the country code, are composed of 10 digits (0-9). Compute the probability of the following events: a. Receiving a random call and observing a number from Champaign (217) b. Receiving a random call and observing a number that starts with an 8 and ends in 34 c. Receiving a random call and observing a number where each other digit is an odd number; example: (298) 341-2789 d. Receiving a random call and observing a number consecutive to your own phone number 2. Bit strings are constructed using only O's and 1's. Assume all bit strings we observe have length 10 and all possible bit strings are equally likely. Compute the probability of the following events: a. Observing a balanced bit string: a string with an equal number of 0's and 1's b. Observing a 0-unbalanced string: a string with more O's than 1's c. Observing a bit string starting with the sequence 0101 d. Observing a bit sequence ending in 101
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