The records at a rural medical centre show that • 35% of all children registered there have some form of respiratory illness (event A), • 14% have “glue” ear (event B), • 57% have neither of these two conditions (event C)                                                                                                                                        Express each of the following events concerning a registered child in set notation and calculate the probability of the event in each case: (a) a child has both conditions; (b) a child has one or other condition; (c) a child has a respiratory illness but not “glue” ear; (d) a child has one or other condition but not both.

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The records at a rural medical centre show that
• 35% of all children registered there have some form of respiratory illness (event A),
• 14% have “glue” ear (event B),
• 57% have neither of these two conditions (event C)                                                                                                                                        Express each of the following events concerning a registered child in set notation and calculate
the probability of the event in each case:
(a) a child has both conditions;
(b) a child has one or other condition;
(c) a child has a respiratory illness but not “glue” ear;
(d) a child has one or other condition but not both. 

Expert Solution
Step 1: Given information

Given, event A = Having respiratory illness

Event B = Having glue ear

Event C = neither of conditions exist

P(A) = 35% = 0.35

P(B) = 14% = 0.14

P(C) = 57% = 0.57


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