(1) Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families the father has influenza; and in 4% of families both the mother and father influenza. Are the events A, = {mother has influenza} and A, = {father has influenza} independent? O Yes O No (m) Suppose there is a 25% chance each child will get influenza, whereas in 13% of two-child families both children get the disease. What is the probability that at least one child will get influenza? (n) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother has influenza? 0.4 (0) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother does not have influenza? (Round your answer to four places.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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I need help with Parts M and O there. I tried asking about this before but the answer I got was incorrect. I can tell you the answers are not 0.01 and 0.1 respectively (that's what the last person said).

Consider a family with a mother, father, and two children. Let A,
{mother has influenza}, A2 = {father has influenza}, A3
{first child has influenza}, A4 = {second child has influenza}, B = {at
%D
least one child has influenza}, C =
{at least one parent has influenza}, and D =
{at least one person in the family has influenza}.
Transcribed Image Text:Consider a family with a mother, father, and two children. Let A, {mother has influenza}, A2 = {father has influenza}, A3 {first child has influenza}, A4 = {second child has influenza}, B = {at %D least one child has influenza}, C = {at least one parent has influenza}, and D = {at least one person in the family has influenza}.
(1)
Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families the father has influenza; and in 4% of families both the mother and father have
influenza.
Are the events A, = {mother has influenza} and A,
{father has influenza} independent?
Yes
No
(m) Suppose there is a 25% chance each child will get influenza, whereas in 13% of two-child families both children get the disease.
What is the probability that at least one child will get influenza?
(n) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother has influenza?
0.4
(0) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother does not have influenza? (Round your answer to four decimal
places.)
Transcribed Image Text:(1) Suppose an influenza epidemic strikes a city. In 10% of families the mother has influenza; in 10% of families the father has influenza; and in 4% of families both the mother and father have influenza. Are the events A, = {mother has influenza} and A, {father has influenza} independent? Yes No (m) Suppose there is a 25% chance each child will get influenza, whereas in 13% of two-child families both children get the disease. What is the probability that at least one child will get influenza? (n) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother has influenza? 0.4 (0) Based on the percentages given in subpart (I), what is the conditional probability that the father has influenza given that the mother does not have influenza? (Round your answer to four decimal places.)
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