Mohammed has applied for positions at Company A and Company B. The probability of getting an offer from Company A is 0.45 and the probability of getting an offer from Company B is 0.3. If the probability of getting both offers is 0.135, which of the following statements is true? O Getting the two offers are mutually exclusive but not independent events. O Getting the two offers are independent but not mutually exclusive events. Getting the two offers are independent and mutually exclusive events. Getting the two offers are neither mutually exclusive nor independent events.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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QUESTION 20
Mohammed has applied for positions at Company A and Company B. The probability of getting an offer from Company A is 0.45 and the probability
of getting an offer from Company B is 0.3. If the probability of getting both offers is 0.135, which of the following statements is true?
Getting the two offers are mutually exclusive but not independent events.
O Getting the two offers are independent but not mutually exclusive events.
Getting the two offers are independent and mutually exclusive events.
O Getting the two offers are neither mutually exclusive nor independent events.
QUESTION 21
Given that 90% of the ZU students are female and that 5% are enrolled in College of Education, can we conclude that 95% (0.90+0.05) of ZU
students are female or enrolled in College of Education?
OYes, by the multiplication rule
No, because the events are not independent
O No, because the events are not mutually exclusive
Yes, by conditional probabilities
Transcribed Image Text:QUESTION 20 Mohammed has applied for positions at Company A and Company B. The probability of getting an offer from Company A is 0.45 and the probability of getting an offer from Company B is 0.3. If the probability of getting both offers is 0.135, which of the following statements is true? Getting the two offers are mutually exclusive but not independent events. O Getting the two offers are independent but not mutually exclusive events. Getting the two offers are independent and mutually exclusive events. O Getting the two offers are neither mutually exclusive nor independent events. QUESTION 21 Given that 90% of the ZU students are female and that 5% are enrolled in College of Education, can we conclude that 95% (0.90+0.05) of ZU students are female or enrolled in College of Education? OYes, by the multiplication rule No, because the events are not independent O No, because the events are not mutually exclusive Yes, by conditional probabilities
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