Suppose P(A) = 0.25. The probability of complement of A
is: A. 0.82 B. 0.50 C. 0.75 D. 0.25 |
Solution: Since we know that
;
where
is a
complement of A.
Now, given that
P(A) =0.25.
Therefore,
Hence,
(c) 0.75 is correct
Suppose P(A) = 0.25. The probability of complement of A is: A. 0.82 B. 0.50 C....
Suppose P(A)=05.0, P(B)=0.75, and A and B are independent. The probability of the complement of the event (A and B) is : a. 1-(.50 + .25 = .25 b. 0.50 + .25 = .75 c. 1-(.5 x .75) = .625 which is the correct answer?
Suppose Let P(B|A) = 0.20 and P(A) = 0.50. What is the joint probability of A and B? Please show work
Suppose that P(A) 0.30. P(BA-0.60, and P(BlA) 0.60, where A and B are complement of A and B, respectively. What is the probability of P(AIB)?
Suppose the events A and B are disjoint with P(A) = 0.5 and P(B) = 0.25. Find the probability of A or B occurring, P(A or B).
b. 8 bit Twos Complement (Ones complement and a 1 to result (show original = binary conversion = one’s complement = twos complement) Examples: -0 = -0000 0000 = 1111 1111 = 0000 0000 +0 = +0000 0000 = 0000 0000 = 0000 0000 -5 = +253 = -87 = -114 = 4. Convert the following Floating Point numbers to binary Example: 0.25 base 10 = 0.01 in base 2 0.50 base 10 = 0.125 base 10 = 0.75 base...
A. Let X ~ N(20,1). What is P(X > 20) ? a) 0.25 b) 0.5 c) 0.75 d) 0.99 B If the data is in the form of a frequency table, it is best described using a: a) histogram b) pie-chart c) stem and leaf plot d) boxplot
The p-value for testing H0 : p = 0.50 versus Ha : p ≠ 0.50 is 0.01. Which of the following describes what 0.01 means: (a) There is strong evidence that p = 0.50. (b) The probability that p = 0.50 is 0.01. (c) There is strong evidence that p ≠ 0.50. (d) The probability that p ≠ 0.50 is 0.01.
Suppose P(A) = 0.30, P(B) = 0.50, and P(B|A) = 0.60. a. Find P(A and B). (5 points) b. Find P(A or B). (5 points) C. Find P(AB). (5 points) SO
2. Suppose that P(A) 0.5, P(B)0.3, P(C) 0.25, P(AUB)0.8, P(A uC) 0.70, P(B U C) 0.40 a. Compute P(B'). b. Compute P(An B), and use the result to determine if A and B are mutually exclusive. Determine if A and C are mutually exclusive. Explain briefly. Describe in simple words what (A U BU C)'represents. Determine PI(A U Bu C)']. (Hint: Determine first P(B n C).) c. d.
3. Let X N(20,1). What is P(X > 20) ? a) 0.25 b) 0.5 c) 0.75 d) 0.99