Currently, about 67% of all U.S. households own a pet. Consider the yearly cost of owning a pet, assuming that these costs are approximately distributed as a normal random variable with a mean of $4600 and a standard deviation of $60.

a. Find the probability that the yearly cost of owning a pet is less than $4550.

b.Find the probability that the yearly cost of owning a pet is more than $4690.

c. What proportion of the households spent between $4550 and $4690 in the yearly cost of owning a pet?

d.99% of the households spent less than what amount in the yearly cost of owning a pet?

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