Compare an intersection event with the larger total-price event

Chicken and turkey masses in kg have independent normal distributions.

Bird	Mean mass	Standard deviation
Chicken	2.2	0.5
Turkey	10.5	2.1

Chickens cost 3 dollars per kg and turkeys 5 dollars per kg.

(i) Find the probability that a random chicken costs more than 7 dollars.

(ii) Find the probability that both a random chicken costs more than 7 dollars and a random turkey more than 55 dollars.

(iii) Find the probability that their total price exceeds 62 dollars.

(iv) Explain why(iii) is greater than (ii).