9) If A and B are independent events, P(A and B) = P(A) * P(B) = 0.7 * 0.6 = 0.42
10) P(A) * P(B) = 0.3 * 0.4 = 0.12
Since, P(A and B) is not equal to P(A) * P(B) , A and B are not independent events.
4.19 If P(A) 0.7, P(B)0.6, and A and B are independent, find P(A and B). PREFE...
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)
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5 Check the time reversibility π,B- π, P,
0.7 0.2 0.1 0.2 0.6 0.2 0.1 0.4 0.5
Check the time reversibility π,B- π, P,
Compute the indicated quantity. P(A) = 0.7, P(B) = 0.3. A and B are independent. Find P(A ∩ B).
Events A and B are independent with p(A) - 0.2 and p(B) - 0.4. Find p(A union B). O 0.52 0.08 O 0.6
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
ketch the graph of the probability density function over the indicated interval. 2x 9 [0, 3] y y 0.7 0.7 0.6 0.6 0.51 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 3 y у 0.7 0.7 0.6 0.6 0.5 0.54 0.4 0.41 0.3 0.3 0.2 0.2 y 0.71 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 Find the indicated probabilities. (a) PO < x < 2) (b) P(1 < x < 2)...
If A and B are independent events, P(A) = 0.3, and P(B) = 0.7, determine P(A∪B). A. 0.21 B. 0.40 C. 0.79 D. 1.00
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
The figure shows the behavior of Pt and Ag cathodes at which
reduction of H3O to H2(g) occurs. Explain why the two curves are
not superimposed.
Pt Ag 0.5㎂ -0.2-0.3-0.4-0.6-0.7-0.8-0.9 E(V vs. S.C.E.)
Pt Ag 0.5㎂ -0.2-0.3-0.4-0.6-0.7-0.8-0.9 E(V vs. S.C.E.)