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The horizontal transfer process known as transformation ________________.

Question 1 : 24 points (proportional time is 11 minutes) Many Auburn fans love wearing hats with the AU logo, and there are 4 different companies that produce hats to supply 2 local stores. Each company makes the physical hat, but then the hats have to be sent to one of two available printing companies to have the AU logo printed on the hat before the hats can be delivered to the stores to be sold.  The production costs per hat are different at each factory.  Production costs are $1.5, $1.75, $1.25, and $1.85 at factories 1,2,3, and 4 respectively. Printing one hat at printer 1 costs $0.25 and printing one hat at printer 2 costs $0.3. Store 1 charges an additional $0.05 processing fee for each hat that arrives at the store. Each printer can only print 400 hats. The maximum number of hats that can be produced at each factory as well as the demand at each store are given below.     Capacity Factory 1 150 Factory 2 300 Factory 3 250 Factory 4 200     Demand Store 1 300 Store 2 250   Draw the complete MCNF Diagram for the problem.

Question 3 : 8 points (proportional time is 4 minutes) Complete the truth tables for the following statements: a. If B then A b. Either Not B or A

Consider conjugation in E. coli. In which of the following matings would bacterial chromosomal genes be transferred most frequently?

Question 2c Given the following pmf: Compute the probability that x is between 1.25 and 2.25 (inclusive).  This question will be graded entirely on Canvas.  Enter your answer with 2 decimal places.

Question 5c Given the following CDF for the discrete random variable X    Compute the probability that x is greater than 25. This question will be graded entirely on Canvas. Enter your answer with 2 decimal places.

Question 5a Given the following CDF for the discrete random variable X    Compute the probability that x is less than or equal to 14. This question will be graded entirely on Canvas.  Enter your answer with 2 decimal places.

The marriage rate in a certain country in 1990 was 0.81%, and there were about 397,000 marriages that year.  Use the model , with a constant marriage rate and t = 0 corresponding to 1990 to estimate the number of marriages in 1998.

Use a graphing utility and the change-of-base formula to determine the graph of the function.y = log2x

Use a graphing utility and the change-of-base formula to determine the graph of the function.y = log2(x + 4)