Given P(A) = 0.10, P(B) = 0.12, P(C) = 0.21, P(A ∩ C) = 0.05, and P(B ∩ C) = 0.03,
solve the following:
a. P(A ∪ C) =
b. P(B ∪ C) =
c. P(A ∪ B) =
a. P(A ∪ C) =P(A)+P(C)=P(A and C)
=0.10+0.21-0.05
=0.26
b. P(B ∪ C) =P(B)+P(C)-P( B and C)
=0.12+0.21-0.03
=0.30
Given P(A) = 0.10, P(B) = 0.12, P(C) = 0.21, P(A ∩ C) = 0.05, and...
Consider the following. 0.75 0.05 0.10 0.10 0.05 0.75 0.10 0.10 A= 0.10 0.10 0.75 0.05 0.10 0.10 0.05 0.75 P= [1 -1 0 1 1-1 0-1 1 1 1 0 1 -1 0 1 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = JUNI (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices,...
Suppose P (E^c) = 0.21, P(F) =
0.76, P(E^c ∩ F) = 0.18. Find P(E ∪ F) ^c
n F Find P(E U F) a. 0.58 b. 0.21 c. 0.03 d. 0.24
Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive? Question 2 options: No, they are not mutually exclusive.
Let B and C be two events such P (B) = 0.12 and P (C) = 0.52. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (B ∪ C) , given that B and C are mutually exclusive. (b) Determine P (B ∪ C) , given that B and C are independent. Thank you
2 = 34.7, df = 21 0.75 <P<0.90 0.025 <P<0.05 0.90 < P<0.95 О 0.05<P<0.10 UESTIONS Given the test statistic and degrees of freedom, find the p-value range (area to the right) that is the best choice. X2=2.76, df = 6 O 0.025 <P<0.05 0.05<P<0.10 0.90 <P<0.95 0.75 <P<0.90 QUESTION 6 When making inferences concerning the mean difference using two dependent samples, it is necessary to calculate the standard deviation of the sample differences Calculate the standard deviation of the...
for b.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
for c.
the p-value is
(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05,
between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept)
H0
Check My Work (3 remaining) eBook A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the...
The following are rates of return on stock A, B, and C, as well as the probabilities. Joint Rates of Return Probability ABC 0.20 0.18 -0.05 0.05 0.10 0.15 0.03 0.07 0.300.100.08 0.10 0.10 0.08 0.15 -0.08 0.300.05 0.12 -0.06 (Keep all the answers to 4 decimal places except for (4), e.g. xxx.1234.)
Given Ha ≠ p0. What is the P-value if the test statistics is calculated to be z = -0.12? A) 0.90 B) 0.95 C) 0.12 D) 0.10 E) 0.05
Consider the following table. Defects in batch Probability 2 0.21 3 0.37 4 0.22 5 0.10 6 0.07 7 0.03 Find the standard deviation of this variable which is one of these answers: 1.64 1.65 3.54 1.28
Given the Input - Output Matrix and D - Vector: B = [ 0.05 0.25 0.34} and D= { 1800} 0.33 0.10 0.12 200 0.19 0.38 0 900 a) Find the correct output for each Industry