Consider two events following receiving a bachelor’s degree from a prestigious university: A = {being accepted into a graduate program} and B = {receiving a job offer}. We know the following is true: P(A) = P(B) = 0.7 P(A|B) = 0.9 From the information provided, find the probability of being accepted into a graduate program and receiving a job offer, that is (A∩B)?

Consider two events following receiving a bachelor’s degree from a prestigious university: A = {being accepted into a graduate program} and B = {receiving a job offer}. We know the following is true: P(A) = P(B) = 0.7 P(A|B) = 0.9 From the information provided, find the probability of being accepted into a graduate program and receiving a job offer, that is (A∩B)?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Q49 ABCDEF
Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted? (A) 0.06 (B) 0.54 (C) 0.04 (D) 0.6 (E) 0 (F) 0.1 (G) 1 (H) 0.36
The prior probabilities for events A1 and Ag are P(A1) = 0.50 and P(A2) = 0.50. It is also known that P(A n A2) = 0. Suppose P(B|A1) = 0.10 and P(B|A2) = 0.70. a. Are events Aj and Ag mutually exclusive? Yes Explain. (i) P(A1 N A2) = 0 (ii) P(A1) + P(A2) = 1 (iii) P(A2) + P (A2 | A1) (iv) P(A2) + P(A2 | A1) choice (i) b. Compute P(A1 n B) (to 2 decimals). 0.165 Compute P(A2 N B) (to 2 decimals). 0.4819 c. Compute P(B) (to 2 decimals). 0.415 d. Apply Bayes' theorem to compute P(A1|B) (to 4 decimals). Also apply Bayes' theorem to compute P(A2|B) (to 4 decimals).
Q7 (a) 48% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to 8% also purchase popcorn. Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn is 22%. Then find the probability that a customer will buy a popcorn or a soft drink?
I need help with A, B, C. Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 and that the outcomes of the three matches are independent of one another. (a) What is the probability that A wins both her matches and that B beats C? and What is the probability that A wins both her matches? (b) What is the probability that A loses both her matches? (c) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
Suppose we know that the probabilities P(A) = .5, P(B|A) = .3 and P(A or B) =.3. What is the value for P(A and B)? What is the value for P(B)?
57% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. ... (a) P(5) = (Round to three decimal places as needed.) (b) P(x2 6) =D (Round to three decimal places as needed.) (c) P(x< 4) =D (Round to three decimal places as needed.)
2b) Find zo for the following probabilities: iii) P(-Zo
Is my solution to my problem correct? If not explain where I went wrong.
2b) Find zo for the following probabilities: i) P(Z > Zo) - 0.25 O-0.67 O o 0.67 O 0.5 Jimmy and Rosalynn Carter celebrate 76 years of marm to
6. In a large manufacturing company every item produced is inspected for defects and will go through a repair process if there are serious defects. Management wanted to investigate whether items produced on Mondays are more likely to require repairing than items produced on the midweek day Wednesday. A random sample of 9 weeks from the past 5 years was taken and the number of items which required repairing for the 9 weeks are shown in the table below. More Repairing Signed Rank of on Monday Week Monday Wednesday Difference |Difference| A 17 18 -1 NO -1 B 14 17 -3 NO -2 C 19 12 7 YES 6. D 21 17 4 YES 3 E 18 13 YES F 19 10 9 YES G 24 4 20 YES H 25 17 8 YES I 22 16 6 YES (a) A boxplot of the differences in number of items which required repairing on Monday and Wednesday for the 9 sampled weeks is shown below. 米 ++ +++ 十十+ ++ -4 -2 2 4 8. 10 12 14 16 18 20 Differences