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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3. The table below gives information on the number of houses built in three different neighborhoods and in three different decades. Which one of the following statements is false? (A) Houses in Pinewood Estates and houses built in the 1960s are mutually exclusive. (B) The events “home is in Oakcrest” and “home was built in 1970s” are dependent. (C) If a house is selected at random, the probability that the house was built in the 1980s is \frac{30}{220}22030. (D) The probability that a randomly selected home was built in the 1980s or is in the Oakcrest neighborhood is \frac{110}{220}220110. (E) The probability that a randomly selected house in Shady Lane was built in the 1960s is ½.
Assuming that every time you roll dice the events are independent of each other (meaning that one roll does not affect the next roll), if you roll “5” three times in a roll, is it less likely that you will roll “5” on the next try compared to the tries before? Why not?
In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each other?
9. In a school, three-quarters of students are involved in sports, half are involved in cultural activities, and one- eighth are involved in neither. Calculate the probability that a student is involved in (a) either sports or in cultural activities. (b) both sports and cultural activities. (c) cultural activities but not sports.
1. Ten unbiased coins are tossed simultaneously. Find the probability of obtaining, (i) Exactly 6 heads (ii) At least 8 heads (v) Not more than three heads (iii) No head (iv) At least one head (vi) At least 4 heads
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.
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?
1. Considering the days when Ali has classes, the probability that he falls sick is that he is absent from classes is 30 The probability The probability that he is sick or absent from classes is 15 (a) What is the probability that he is sick and absent from classes? (b) What is the probability that he is not sick but absent from classes?
4. Answer the following: (a) A day of the week is selected at random. What is the probability that it is a weekend day? (b) A single card is drawn from a deck of 52 cards. What is the probability that it is a king or a club? (c). The probability of rain tomorrow is 0.7. The probability that it will snow is 0.5. The probability of both rain and snow is 0.3. What is the probability that it will either rain or snow tomorrow?

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