The following table refers to two properties: age and traffic violations of residents in Gauteng.Violations during the past 12 monthsAgeNoneOne or moreUnder 211525[21,41)41 or more8123010(i) If a Gauteng resident is selected at random, what is the probability that(a) he is under 21 and has one or more violations during the past 12 months?(b) he is under 21?(c) he has one or more violations during the past 12 months?(ii) Are events “under 21" and “one or more violations during the past 12 months" independent?(iii) Test at a 5% level of significance if age and traffic violations are independent of each other:

Here AS PER POLICY I SHOULD HAVE TO CALCULATE 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4 PLZ…

Answered: (i) If a Gauteng resident is selected…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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11. The table below shows the political party registration by gender of all 500 registered voters in Franklin Township. A) Given that a randomly selected registered voter is a male, what is the probability that he is registered for Party Y? B) Among the registered voters of Franklin Township, are the events "is a male" and "is registered for party Y" independent? Justify your answer based on probabilities calculated from the table. Party W Party X Party Y Total Female 60 120 120 300 Male 28 124 48 200 Total 88 244 168 500
Given that a red card has been drawn, what is the probability that it is a diamond? Arethe events E1 red card is drawnE2 diamond is drawn independent events?
Use the contingency table below to find the probability of the following events. a. AJB b. AJB' C. A'|B' d. Are events A and B independent? B B' A. 40 30 50 30 a. P(AJB) = (Round to two decimal places as needed.) b. P(A|B') = (Round to two decimal places as needed.) c. P(A'|B') = (Round to two decimal places as needed.) d. Are events A and B independent? A and B are not independent. A and B are independent.
A student is selected at random from a list of all enrolled students at HarvardUniversity. Suppose the probability that the student is female is 0.48 and the probability that the student has a part-time job is 0.75. (a) In this context, define two events A and B. Also write down P(A) and P(B).(b) What does it mean, in this context, for A and B to be disjoint events?(c) Calculate P(A)+ P(B). Hence, or otherwise, explain why A and B cannot be disjoint events.
12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.
1) What are mutually exclusive events? Explain why a difference in the probability occurs when choosing two cards from a deck (one after the other) with and without replacing the first card.
Question 6 Suppose A and B are two events with probabilities: Find the following: a) P(ANB). b) P(A). c) P(Bº). d) P((An B)*). Edit View Insert Format Tools Table 12pt v P(Aª) = .40, P(B) = .25, P(A U B) = .75. ✓ Paragraph BIUAT² : B Q Search V
11. The probability that Adam goes to play basketball on any day is 3/3.3 5 a day when he plays basketball, the probability that Adam has burgers 3 is On the day he does not play basketball, the probability he has 8 burgers 3 11 (a) Find probability that Adam has burgers on any day. (b) Adam has burgers on that day. What is the probability he plays basketball? On (c) Determine whether the events play and does not play basketball mutually exclusive. (d) Determine whether the events play basketball and has burgers independent.
In a study by the Department of Transportation, there were a total of 89 drivers that were pulled over for speeding. Out of those 89 drivers, 36 were men who were ticketed, 15 were men who were not ticketed, 4 were women who were ticketed, and 34 were women who were not ticketed. Suppose one person was chosen at random.(a) What is the probability that the selected person is a man who was not ticketed? (b) What is the probability that the selected person is a man who was ticketed?
Assume that males obtain 44% of all bachelor’s degrees in a particular country and that 22% of all bachelor’s degrees are in business. Also, 5% of all bachelor’s degrees go to males majoring in business. Are the events the bachelor’s degree holder is a male” and “the bachelor’s degree is in business” statistically independent?

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