15) P(Rolling a 5 | it is raining a lot ) 1/6 A group of students were asked if
ID: 3314089 • Letter: 1
Question
15) P(Rolling a 5 | it is raining a lot ) 1/6 A group of students were asked if they carry a credit card. The responses are listed in the table. Credit Card Not a Credit Card Class Carrier Carrier Total 40 Sophomore 25 65 Freshman 20 15 35 60 40 100 Total If a student is selected at random, find the probability that he or she: 16) 17) 18) 19) 20) Is not a credit card carrier Is a credit card carrier and is a freshman Is a credit card carrier or is freshman Owns a credit car Owns a credit card given that the student is a freshman. 18, which event is more likely to happen? Justify your answer. 22) Compare events in question 20, are they independent events? Justify your answer 19) 23) Are events in question 16 and 19 mutually exclusion events? Justify your answer 24) Compute 7! 25) Compute 5! 26) From a group of 7 friends, choose two. In 27) How many different ways are there to arrange all the letters of the alphabet? Hint: There are 26 letters . Hint: look at how many different combinations can this be done?Explanation / Answer
16)
Out of 100 students, 35 are not a credit card carrier so
P(not a credit card carrier) = 35/ 100 = 0.35
17)
Out of 100 students, 40 are freshman and a credit card carrier so
P(freshman and a credit card carrier) = 40/ 100 = 0.40
18)
From table we have
P(credit card carrier) = 65 /100
P(freshman) = 60/100
P(credit card carrier and freshman) = 40/100
So
P(credit card carrier or freshman) = P(credit card carrier) + P(freshman) - P(credit card carrier and freshman) =(65/100) + (60/100) - (40/100) = 0.85
19)
P(credit card carrier) = 65 /100 = 0.65
20)
Out of 60 freshman, 40 own a card so
P(own a credit card | freshman) = 40 /60 = 2/3
21)
Event of 18 is more likely to happen because it has higher probability.
22)
No because P(own a credit card | freshman) is not equal to P(own a credit card).
23)
Yes
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.