Consider a family with a mother, father, and two children. Let A, = {mother has influenza}, A, = {father has influenza}, A, = {first child has influenza}, A, = {second child has influ- enza}, B= {at least one child has influenza}, C= {at least one parent has influenza}, and D = {at least one person in the family has influenza}. *3.1 What does A, UA, mean? *3.2 What does A, nA, mean? *3.3 Are A, and A, mutually exclusive? *3.4 What does A, UB mean? *3.5 What does A, nB mean? *3.6 Express C in terms of A,, A,, A and A.. *3.7 Express D in terms of B and C. *3.8 What does Ā, mean? *3.9 What does Ā, mean? *3.10 Represent Cin terms of A,, A,, A, and A,. *3.11 Represent D in terms of B and C. 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 2% of families both the mother and father have influenza. 3.12 Are the events A, = {mother has influenza} and A, = {father has influenza} independent? Suppose there is a 20% chance each child will get influ- enza, whereas in 10% of two-child families both children get the disease. 3.13 What is the probability that at least one child will get influenza? 3.14 Based on Problem 3.12, what is the conditional prob- ability that the father has influenza given that the mother has influenza? 3.15 Based on Problem 3.12, what is the conditional prob- ability that the father has influenza given that the mother does not have influenza?

Q: The sum of two times a number and twenty-two?

A: Given :   The sum of two times a number and twenty-two

Q: How many solutions does the equation 3x-9=7x-4

A: The equation is 3x - 9 = 7x - 4

Q: please solve and show your work

A: It is known that, the solutions of the equation

Q: "Solve the equations

A: Here, we need to solve yx2+1+y'x=0.

Q: Solve  5x =-5 3

A: Solve  5x =-5 3

Q: Show the entire solution please

A: Given that  Probability of success (p)=0.70 Sample size =10  Let X denotes the number of seeds…

Q: How to solve?

A:

Q: Solve 5m - 9> 2m + 3

A:

Q: HSA.CED.3 2. Solve: 6x² = 5x - 3

A:

Q: 40 •c 4X-12

A: We know that, The lengths of tangents drawn from an external point to a circle are equal. TP¯=TQ¯

Q: SOLVE 8-2y=4

A: Given that  8-2y=4               ⇒2y=8-4               ⇒2y=4                ⇒y=2…

Q: 2. Solve, 6 0 1-0 10 OC

A: To find the matrix multiplication :-

Q: Solve: 2x+I ×ナ1 5

A:

Q: Solve 10. 8x *Preview

A: Solve the equation 1/8x = –10 for x.

Q: Four sixths of 10 are equal to

A:

Q: Find the value of m in the equation 2 -3 7 4 1 2 3 - 5 2 - 2 1

A:

Q: Solve. х—7_х+3 х — 4 х+4

A: To solve x-7x-4=x+3x+4

Q: Solve each of the following equations. V3r + 3 = 3 1. 2. V² – 3 = V5r + 47

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Solve 5 - 2 = y- 2 O 8 O s 15 O 3

A:

Q: 5 years ago a dad was 6 years older than 3 times his son's age at that time.  In 4 years, he will…

A: Let the dad is x years old and son is y years old now. 5 years ago dad was (x-5) and son was (y-5)…

Q: Solve  3x = 5x-2

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.