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A student collects information about the residents of a large nursing home, incl

ID: 3050102 • Letter: A

Question

A student collects information about the residents of a large nursing home, including age and whether the person receives some sort of medical assistance beyond Medicare. The table gives the proportion of residents in each category. a. Fill in the rest of this table Receives Additional Medical Assistance? Yes No Total Under 90 0.46 0.48 0.92 Age 90 or older 0.08 Total | 0.46 1.00 0.52 b. If a resident of this nursing home is chosen at random, what is the probability that the resident is 90 or older, given that the resident receives additional medical assistance? Round the answer to two decimal places. The probability- 0.154 c. What is the probability that a randomly selected resident doesn't receive additional medical assistance and is 90 or older? Round the answer to two decimal places. The probability =

Explanation / Answer

a) Yes No Total

Under 90 0.46 0.46 0.92

Age 90 or older 0.08 0 0.08

Total 0.54 0.46 1.00

b) P( 90 or older/Resident recieves additional medical assitance)

= 0.08/0.54

= 0.15

c) P( Does not receive additional medical assitance and 90 is older)

= 0

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