The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. X 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.45 0.10 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) 3.7 X GB (b) Compute V(X) (in GB²) directly from the definition. (Enter your answer to four decimal places.) × GB2 2.143 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) 13.674 × GB (d) Compute V(X) (in GB²) using the shortcut formula. (Enter your answer to four decimal places.) × GB² 3.707

Evaluate. (√2) 4+ log2√3

2) Express the following numbers exponentially: a. 0.0000034: c. 6,050: b. 16 um to mm 3) Perform the following conversion problems. SHOW YOUR WORK. a. 0.0003 m to mm c. 6 nm to A d. 3 A to m Y e. 13 mm to nm f. 4 m to um g. 3 g to mg b. 72,000,000: 03/03 d. 0.00348: MY MY m

find Za/2 For a=0.13

The number of reported crimes in a city was about 22,700 in a recent year. Due to the creation of a neighborhood crime program, the city hopes the number of crimes decreases each year by 8%. Let xn denote the number of crimes in the city n years after the neighborhood crime program began. Find a formula for xn in terms of n. Determine the number of crimes in the city at the end of five years.

Consider the three exponential functions f(x) = a · b², in red, g(x) = c., in blue, and h(x) = p. q², in green, graphed below where a, b, c, d, p, q are constants. For each statement below, enter all of the possible constants (letters a, b, c, d, p, or q) as a list of letters in any order without any separating commas. For example a possible answer could be apdq which is equivalent to paqd (or any other order of these four constants), but a, d, p, q would not be graded correctly because it includes commas. (a) Which of these constants are definitely positive? (b) Which of these constants are definitely greater than 1? (c) Which of these constants could possibly be between 0 and 1? (d) Which of these constants could possibly be greater than the value of c? (e) Which two of these constants are definitely equal? 9. f(x)=a(b)^x, g(x)=c{d}^x h(x)=p(q)^x (Click on graph to enlarge)

Express p in term of q if: log,p -log,q =1