4. A communicable disease has spread through a small town during this winter. Below is a table that shows various age groups in the town and whether or not they have contracted the disease. Assume that the data represents all people in the small town. Ages 0-18 Ages 18-25 Ages 25-50 Ages 50+ Totals Has contracted the disease 120 52 105 74 351 Has not contracted the diseases 325 480 800 113 1718 Complete the totals rows and columns in the table before proceeding. Totals ૫૫ડ 532 905 187 2069 (a) What is the probability that someone aged 50+ contracted the disease? That is, calculate the probability that someone contracts the disease given they are in the 50+ age group. (b) You are told that a town citizen named Janey has not contracted the disease, but you do not know any other information about Janey. What is the probability that Janey is in the 18-25 age category?

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4. A communicable disease has spread through a small town during this winter. Below is a table
that shows various age groups in the town and whether or not they have contracted the disease.
Assume that the data represents all people in the small town.
Has contracted
the disease
120
Ages 0-18
Ages 18-25
Ages 25-50
Ages 50+
Totals
351
Complete the totals rows and columns in the table before proceeding.
52
105
Has not contracted
the diseases
325
74
480
800
113
1718
Totals
445
532
905
187
2069
(a) What is the probability that someone aged 50+ contracted the disease? That is, calculate the
probability that someone contracts the disease given they are in the 50+ age group.
(b) You are told that a town citizen named Janey has not contracted the disease, but you do not
know any other information about Janey. What is the probability that Janey is in the 18-25
age category?
Transcribed Image Text:4. A communicable disease has spread through a small town during this winter. Below is a table that shows various age groups in the town and whether or not they have contracted the disease. Assume that the data represents all people in the small town. Has contracted the disease 120 Ages 0-18 Ages 18-25 Ages 25-50 Ages 50+ Totals 351 Complete the totals rows and columns in the table before proceeding. 52 105 Has not contracted the diseases 325 74 480 800 113 1718 Totals 445 532 905 187 2069 (a) What is the probability that someone aged 50+ contracted the disease? That is, calculate the probability that someone contracts the disease given they are in the 50+ age group. (b) You are told that a town citizen named Janey has not contracted the disease, but you do not know any other information about Janey. What is the probability that Janey is in the 18-25 age category?
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