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2) Suppose that in a community of 400 adults, 160 bike and 260 swim. Moreover, is known that 120 adults bike and swim simultaneously. a) What is the probability that an adult selected at random from this community is a bike or swim or do both? B) is only a bike? c) is only a bike and only a swim a) (3/4); b) (1/10); c) (9/20)
3) If a die is rolled three times, find the probability of getting at least one number 6. (91/216). Find the probability of getting at least one even number. (7/8)
4) There are tickets numbered 1,2,3,4. Suppose a two-digit number will be formed by first drawing one ticket at random and the drawing second ticket at random from remaining three. List the sample space and determine the following probabilities:
a) What is the probability of getting an even number? (1/2)
b) What is the probability of getting a number larger than 20? (3/4)
c) What is the probability of getting a number between 22 and 30? (1/6).
5) Suppose that P(A) =0,3, P(B)=0,25 and P(A)"B) =0,20
a) Are the events A and B joint or disjoint?
b) Find P(A EMBED Equation.3 B), P(A/B) , P(B/A) Are the events A and B dependent or independent?
(0,35; 0,8; 0,67).
6) A study of method of transportation people use to get to work revealed the following date (in hundreds of thousands of workers).
Method of transportation Type of workersUrbanRuralAutomobile450150Public transportation655
If a worker is selected randomly what is the probability that he or she:
is urban worker and drives an automobile to work?
drives an automobile to work?
is a rural worker given that he or she uses public transportation?
is an urban worker?
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