Consider the ways that a couple can have three children. Define the following events: Event M:...

Consider the ways that a couple can have three children. Define the following events:

Event M: They have a child of each gender.

Event N: They have at most one boy.

Suppose that they are more likely to have a boy (B) than a girl (G), by a ratio of 11 to 9.

a. Using set notation like I did in the 2-child case (due to time, I didn’t use set notation in the 3-child case), list out the events M, N, and M ∩ N.

b. Carefully calculate the exact values of P(M), P(N), and P(M ∩ N), writing each probability to 4, 5, and 6 decimal places, respectively.

c. Use the definition of independent events to determine if M and N are independent.

Expert Solution

orchestra answered 1 year ago

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