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Solve the following problems using linearity of expectation. Clearly explain the steps. (For each problem you will want to think about what the appropriate random variables should be and define them explicitly.)
(a) A coin with probability p of coming up heads is tossed independently n times. What is the expected number of occurrences of the string HH? For example, in HHHTHHT, it occurs 3 times, once starting at position 1, once starting at position 2 and once starting at position 5.
(b) A random string of 100,000 characters is written down, where each character is independently, equally likely to be any of the upper-case letters A through Z in English. What is the total expected number of occurrences of the sequences "FOOFOO" and "OOFOOF"? For example, in the sequence ABOFOOFOOFOO, the sequence FOOFOO occurs twice (once starting at the 4th character, and once starting at the 7th character), and OOFOOF occurs once (starting at the 5th character).
Describe how the problem of traveling from one city to another could be framed as a production system. What are the states? What are the productions?
Tellers at each branch use a four-digit numeric password, and each teller's computer is transaction-coded to accept only its authorized transactions. Perform a risk assessment.
Lasting more than one day, we permit hotel, taxi, and airfare, also meal allowances. Same times apply for meal expenses." Write down structured English for Clyde's narrative of reimbursement policies.
How do components of computer system interact within system? What improvements or additions to system do you believe would benefit you or make system more user-friendly?
It needs to have high-level descriptions of the customer's expectations and the criteria for success. You need to describe why these are the best choices and why alternatives will not work as well.
Then post pseudocode or code you would write for simple task (making peanut butter sandwich, for example) as well as three simple control structures that could be used to create this algorithm
If the user enters a negative number or a nondigit number, throw and handle an appropriate exception and prompt the user to enter another nonnegative number.
Let a three bit binary counter. Prepare these properties in LTL. Create a model which satisfies the specification and both the above properties.
Whose interests are most significant when finding extent to which cryptography must be standardized, regulated, and mandated?
It does this by incrementing (by 1) all three color components (using the above accessor and mutator methods) as well as the alpha component value. Write down dissolve method.
Write an excel nested if statement that will Use the value in cell A1 to determine which 2 cell values in column c that it falls between and enter the lower amount.
Your plan requires two sections, one for deployment and another for ongoing operation after implementation. The vendor offers a contracting service for installation at $140 per hour.
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