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in Illinois has (c) Determine the probability mal ty Selected the tal with a sco

ID: 3370589 • Letter: I

Question

in Illinois has (c) Determine the probability mal ty Selected the tal with a score of 8 or higher am lesp nterpret th duced Medicare payments? Intenois edicare pa in Illinois has a score less than 9 (d) Suppose Medicare plans to reduce Me to any hospi probability a randomly selected hospital in What What Hea he e 30. Housing The following data represents the result. Is it unusual? rooms in a random sample of U.S. housing units mber nite Frequency Rooms One Two Three Four Five that a r selecti 183 230 204 123 156 foun the a ra 0.0 a. Six Seven Eight or more Source: U.S. Census Bureau (a) What is the probability that a randomly selected housing unit has four or more rooms? Interpret this probability (b) What is the probability that a randomly selected housing u has fewer than eight rooms? Interpret this probability (c) What is the probability that a randomly selected housing ST unit has from four to six (inclusive) rooms? Interpret this probability (d) What is the probability that a randomly selected housing 31. A Deck of Cards A standard deck of cards contains Sp oie unit has at least two rooms? Interpret this proba 52

Explanation / Answer

30)

a)P(4 or more rooms) =P(>=4) =1- P(X<=3)=1-(0.005+0.011+0.088)=0.896

this indicate that if we sample 1000 house than 896 will have 4 or more rooms

b)

P(X<8)=0.005+0.011+0.088+0.183+0.230+0.204+0.123=0.844

this indicate that if we sample 1000 house than 844 will have less than 8 rooms

c)

P(4<=X<=6)=0.183+0.230+0.204=0.617

this indicate that if we sample 1000 house than 617 will have 4 ot 6 rooms

d)

P(X>=2)=1-P(X=1)=1-0.005 =0.995

this indicate that if we sample 1000 house than 995 will have at least 2 rooms

rooms(x) frequency (f) relative frequency P(x)=frequency/total frequency 1 5 0.005 2 11 0.011 3 88 0.088 4 183 0.183 5 230 0.23 6 204 0.204 7 123 0.123 >=8 156 0.156 Total 1000 1