Math 2003 Essenc Exam 83 Fall 2017 Merchaunt Reminders Provide an appropriate re

Question

Math 2003 Essenc Exam 83 Fall 2017 Merchaunt Reminders Provide an appropriate response 1. A bag contains 25 wooden beads. The coloes of the beads are red, blue, white, green, black, bown, and grey The probability of randomly selecting a bead of a particular color from the bag is given blow Is this probability model? oe No 2 A die is rolled. The set of equally likely outcomes is (1, 2,3, 4, 5,61. Find the probability of getting a 3. A fair coin is tossed two times in succession. The set of equally likely outcomes is [HH, HT, TH, TT. Find the probability of getting the same outcome on each toss. e problem. The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. What is the probability that a randomly selected student with a Bachelor s degree majored in Physics or Philosophy? Round your answer to three decimal places. Major Frequency P221 Physics Philosophy207 Engineering 86 Business 176 Chemistry 222

Explanation / Answer

1) for a valid probability model; sum of probability should be equal to 1 as well each individual point probability should be between 0 and 1

here sum of probability =0.28+0.24+0.20+0.16+0.12+0.08+0.03=1.11

as sum is greater then 1 ; hence NO it is not a valid probability model

2)

probability of getting a six =favourable outcome/total outcome =1/6

3)

probability of getting same outcome =P({HH;TT} =2/4= 1/2

4)

total outcome =221+207+86+176+222=912

threfore probability =favourable outcome/total outcome =(221+207)/912=0.4693

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