(d) Central area = 0.99, df = 50 (e) Upper-tail area = 0.01, df = 30 (f) Lower-tail area = 0.025, df = 10

(Vx - 1/Va)

B2

Analytically consider the variation of rainfall around a typical rain gauge that registered 2.0 mm of rainfall. Accurately estimate the depth (mm) of rainfall at a spot that is 50 m away from the rain gauge. (a) 2.0 (b) > 2.0 (c) < 2.0 (d) (e) 0.5

Qg Salve: coshx-1.dx

P(B) = 0.4 P(AnB)- o-12 %3D tind P(A/B) ?

Se"dx = 13. %3D A 3x+1 + k. 3x B 3e" + k. C c e* +k. 3x + k.

The crown length of first molars in fetuses is related to the postconception age of the tooth and is approximated as L(t) = -0.011² +0.785t-7.042, where L(t) is the crown length, in millimeters, of the molar t weeks after conception. Answer parts a-c. O A. O C. L(27) L(23) 27 23 Distal a. Find the average rate of growth in the crown length during weeks 23 through 27. Which of the following is the correct expression for the average rate of change? L(27) - L(23) 27 Crown length Pulp Mesial O B. O D. L(27) - L(23) 27-23 L(27) - L(23) 23

You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case? (e) Under what conditions could an expert witness give the following statement based solely on lead bullet statistical evidence: “The bullet fragments must have come from the same box or from another box that would have been made by the same company on the same day.”

find div(F x G) = V • (F x G). %3D