ree fixed-price dinners costing $12, $15, and $18 including tax and tip. The joint probability mass function p(x,y) of the costs of each member of a dining pair (a host and a guest) is shown in the table below. Cost of guest's dinner (y) $12 $15 $18 Cost of $12 0.05 0.05 0.10 host's $15 0.05 0.10 0.30 dinner (x) $18 0.05 0.20 0.10 Are the dinner costs of the guest and the host independent? O A. Yes, because p(x,y)= p(X)p(y) for all x and y is true O B. No, because p(x,y)= p(x)p(y) for all x and y is true O C. Yes, because p(x,y)= p(x)p(y) for all x and y is false D. No, because p(x,y)= p(x)pV) for all x and y is false

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A restaurant serves three fixed-price dinners costing $12, $15, and $18 including tax and tip. The
joint probability mass function p(x,y) of the costs of each member of a dining pair (a host and a
guest) is shown in the table below.
Cost of guest's
dinner (y)
$12
$15
$18
Cost of
$12
0.05
0.05
0.10
host's
$15
0.05
0.10
0.30
dinner
(x)
$18
0.05
0.20
0.10
Are the dinner costs of the guest and the host independent?
O A. Yes, because p(x,y) = p(x)p(y) for all x and y is true
O B. No, because p(x,y)= p(X)p(y) for all x and y is true
O C. Yes, because p(x,y) = p(x)p(y) for all x and y is false
O D. No, because p(x,y)= p(x)p(y) for all x and y is false
Transcribed Image Text:A restaurant serves three fixed-price dinners costing $12, $15, and $18 including tax and tip. The joint probability mass function p(x,y) of the costs of each member of a dining pair (a host and a guest) is shown in the table below. Cost of guest's dinner (y) $12 $15 $18 Cost of $12 0.05 0.05 0.10 host's $15 0.05 0.10 0.30 dinner (x) $18 0.05 0.20 0.10 Are the dinner costs of the guest and the host independent? O A. Yes, because p(x,y) = p(x)p(y) for all x and y is true O B. No, because p(x,y)= p(X)p(y) for all x and y is true O C. Yes, because p(x,y) = p(x)p(y) for all x and y is false O D. No, because p(x,y)= p(x)p(y) for all x and y is false
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