15. TEXTING AND ALCOHOL If two of thehigh school drivers are randomly selectedfrom the 887 subjects who drove whendrinking, find the probability that neitherof them texted while driving.a. Assume that the selections are madewith replacement. Are the eventsindependent?b. Assume that the selections are madewithout replacement. Are the eventsindependent?

This is a common probability question that involves calculating the probability of multiple events…

Answered: 15. TEXTING AND ALCOHOL If two of the…

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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2. A lot of 200 construction materials is known to contain 20 defective materials. Twenty construction materials are selected at random and each material is replaced before the next is selected. a. Give the following information: a.1 n a.2 p a.3 q b. What is the probability of getting at most two defective construction materials?
6.1 : Answer
A financial manager made two new investments—one in the oil industry and one in municipalbonds. After a one-year period, each of the investments will be classified as eithersuccessfulor unsuccessful. Consider the making of the two investments as a random experiment.a. H ow many sample points exist for this experiment?b. Show a tree diagram and list the sample points.c. L et O = the event that the oil industry investment is successful and M = the event thatthe municipal bond investment is successful. List the sample points in O and in M.d. L ist the sample points in the union of the events (O ∪ M ).e. L ist the sample points in the intersection of the events (O ∩ M ).f. Are events O and M mutually exclusive? Explain.
What is the probability of randomly selecting a student that is a car rider OR uses the bus? Also, determine whether the events are Mutually exclusive or inclusive. Drive Themselves 33 26 Car Rider 12 14 Uses the Bus 15 20 Total Female Male Total 60 60 59 26 35 120 88
3. An airline tracks data on the flight arrivals. Over the past 6 months, 65 flights on one route around early, 130 arrived on time, 15 were late, and 30 were cancelled. A. What is probability the flight is early? On time? Late? Canceled? B. Are thes outcomes exclusive? C. What id the probability that a flight is either early or on time?
Consider an experiment of choosing 3 balls (without replacement) from an urn containing 5 red and 7 white balls. a. What is the probability that 2 of the chosen balls are red? b. If it is known that the 2nd ball is white, what is the probability that the first ball is also white? c. If it is known that the 3rd ball is red, what is the probability that both of the first two balls are white?
Consider the Venn diagram below. Each of the dots outside the circle represents a biologist questioned about their research interests. 10 biologists are questioned about their research interests. Six biologists are marine biologists, represented by red dots and labeled M1,M2,M3,M4,M5,M6. Four biologists are zoologists, represented by blue dots and labeled Z1,Z2,Z3 and Z4. The two events represented in the Venn diagram are: Event A: The biologist is interested in studying insects. Event B: The biologist is interested in studying salmon habitats. The biologists who say they are only interested in studying insects are Z1,Z2,Z3,M5 and M6. The biologists who say they are only interested in studying salmon habitats are M1,M2,M3 and M4. The biologist who said they were not interested in either topic is Z4. Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.
Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45% of the cars in Israel are white. If event A is “New” and event B is “White”, which of the following is correct? a. There is not enough data to answer the question. b. Events A and B are dependent. c. Events A and B are independent d. Event A and B are mutually exclusive.
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. a. What are the simple events in this ranking experiment, and what probability would you assign to each one? b. What is the probability that C is ranked first? c. What is the probability that C is ranked first and D is ranked last?
Let E and F be mutually exclusive events in a sample space S. The odds that E occurs are 3:5 and the odds F occurs are 2:8. If it is known that either E or F occurred, what are the odds that the event was E? The odds that E occurred areDO (Type whole numbers. Simpity your answer.)
Ten husband and wife couples are seated at random in a circle. Find the expected number of husbandswho end up sitting next to their wives. (One method is to use indicator variables, each equal to 1 when thecorresponding husband is sitting next to his wife.)
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A с Order Accurate 339 247 Order Not Accurate 40 35 If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? B 269 55 The events D 132 19 The probability of getting an order from Restaurant A or an order that is accurate is (Round to three decimal places as needed.) Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? disjoint because it possible to receive an accurate order from Restaurant A. pick an order from Restaurant B, C, or D. pick an inaccurate order. C

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