1. Solve
a) Given that b = 43.3 +- 0.7 cm and c = 12.2 +- 0.4 cm, find the following and propagate uncertainty.
1) 4 * c 2) π * c. 3) b + c 4) b - c
b) Given that b = 43.3 +- 0.7 cm and c = 12.2 +- 0.4 g, find the following and propagate uncertainty.
1) b * c 2) 3 * b * c 3) b / c 4) b2 * c
2. Given: P(A) = 0.4, P(B) = 0.7, and A and B are independent events. (a) (2 points) Find P(A and B) (b) (2 points) Find PA and B) (b) (c) (3 points) Construct the Venn diagram. А B @ (d) (2 points) Find P(B) (d) (f) (2 points) Find P(A or B) (g) (2 points) Find P(BA) EC
propagation of uncertainty
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QUESTION 2 Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius according to this function (m,r) = 1/2 m 12. Your measured mass and radius have the following uncertainties Sm = 0.36 kg and Sr = 0.39 m. What is is the uncertainty in moment of interia, SI, if the measured mass, m = 3.18 kg...
1. (15pts) Events A, B and C are such that P(A) = 0.7, P(B) = 0.6, P(C) = 0.5, P(AnB) = 0.4 , P(AnC) = 0.3, P(BnC) = 0.2, P(AnBnC) Find (a) either B or C happens (b) at least one of A, B, C happens; c) exactly one of A, B, or C happens. 0.1.
1. If P(A) = 0.7, P(A or B) = 0.9, and P(A and B) = 0.6, then find P(B) 2. If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.4, find P(A or B)
Question 5 (1 point) <Venn 6> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)=0.7 Find P(Ac UB) (2 decimal places without rounding-up) Question 6 (1 point) Saved There are 2 events: A, B with P(A)-0.5, P(B)-0.4, PAUB)-0.7 Find P(A B)
(1) Suppose that A and B are events with P[A] = 0.4 and P[B] = 0.7. Show that 0.1 < PAB < 0.4. Justify your answer clearly. P(ANB) - PCA) PCB) = 0.4.0.7 = 0.28 with 0.15 0.28 <0.4 PLA) occuring 04 P(B) occuring 0.7 P of both events occuring at the same time should be = 0.28 which is in Ran 0,4 1028 0.7 2/10
Engineering statistics
Given that X-B (5, 0.7), find the following: (a) the probability of failure (b) P(x=0) (c) P(X= 2) (d) P(x>1) (e) the variance
Figure 1 of 1 y (cm) Long wires a b 0 с 1 2 x (cm) -1 1 a. Use the RHR to find the direction of By at each of the three points and draw the field vectors on the figure. Be sure to clearly label your vectors. b. Use the RHR to find the direction of B2 at each of the three points and draw the vectors on the figure. Be sure to clearly label your vectors. c....
Given: Figure 3, r, = 6.0 cm, r,-ro3C= 6.0 cm, r,-5.0 cm, r5-ro = 9.0cmO2 10°, co2- 80 rpm CW. Find: Draw vector loops. Write the vectors loop equations in vector form, then polar form and then in Cartesian form. Underline scalar variables that change with time. Solve the position equations for r4, Ogr, θ. where r is the distance of B2 from O3 and rs is the distance of D from O3. Derive and solve the velocity equations for...
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Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e At where 2 5 A = -2 -4 Solve the IVP (21-1 -3) M (O)-() x(0) I g(0)