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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)

Solve the logarithmic equation.log 2x = log 4 + log (x – 5)

Solve the problem.A lake is stocked with 670 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 4187. The population of fish in the lake after time t, in months, is given by the function, . Find the population after 10 month(s).