QUESTION 17 Consider the sample space 5 = (red, green, blue, yellow). What is the cardinal number of the power set of 5? O a. g O b.16 O C. A O d. The power set is countably infinite QUESTION 18 An "eyes-only" diplomatic message is to be transmitted as a binary code of zeros and ones. If a zero is sent, it will be correctly received as a zero 95% of the time. If a one is sent, it will be incorrectly received as a zero 10% of the time. The text being sent is thought to be 70% ones with the remainder zeros. Suppose the next signal that is sent is received as a one. What is the probability that it was sent as a zero? a. 0.015 (3dp) O b. 0.3 O C. 0,023 (3dp) O d. 0,070 (3dp)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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just subquestions 17 and 18 pleaseee thank you so much

QUESTION 16
Consider the random variable Y, which denotes the number of reliable electrical circuits tested from a production line before a faulty circuit is found. There is 99%
probability that a randomly selected circuit is reliable. In that case, P(Y=7) is:
O a. 0.99
Ob.0.99?
Oc.
(0.997)-0.01
d.
QUESTION 17
Consider the sample space 5 =(red, green, blue, yellow). What is the cardinal number of the power set of 5?
O a. g
O b.16
O C. 4
O d. The power set is countably infinite
An "eyes-only" diplomatic message is to be transmitted as a binary code of zeros and ones. If a zero is sent, it will be correctly received as a zero 95% of the time. If a one is
sent, it will be incorrectly received as a zero 10% of the time. The text being sent is thought to be 70% ones with the remainder zeros. Suppose the next signal that is sent
is received as a one. What is the probability that it was sent as a zero?
QUESTION 18
O a. 0.015 (3dp)
O b.0.3
O C. 0.023 (3dp)
O d. 0.070 (3dp)
Transcribed Image Text:QUESTION 16 Consider the random variable Y, which denotes the number of reliable electrical circuits tested from a production line before a faulty circuit is found. There is 99% probability that a randomly selected circuit is reliable. In that case, P(Y=7) is: O a. 0.99 Ob.0.99? Oc. (0.997)-0.01 d. QUESTION 17 Consider the sample space 5 =(red, green, blue, yellow). What is the cardinal number of the power set of 5? O a. g O b.16 O C. 4 O d. The power set is countably infinite An "eyes-only" diplomatic message is to be transmitted as a binary code of zeros and ones. If a zero is sent, it will be correctly received as a zero 95% of the time. If a one is sent, it will be incorrectly received as a zero 10% of the time. The text being sent is thought to be 70% ones with the remainder zeros. Suppose the next signal that is sent is received as a one. What is the probability that it was sent as a zero? QUESTION 18 O a. 0.015 (3dp) O b.0.3 O C. 0.023 (3dp) O d. 0.070 (3dp)
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