A wheat cent is a one-cent coin (\$0.01)($0.01) produced in the United States between 19091909 and 19561956. The name comes from a picture of wheat on the back of the coin. Assume that 11 out of every 350350 pennies in circulation is a wheat cent and that wheat cents are uniformly distributed among all pennies. Cassandra the coin collector goes to the bank and withdraws 44 dollars worth of pennies (in other words, 400400 pennies). Write an expression for the exact probability that Cassandra finds at least 22 wheat cents among her 400400 pennies. State the assumptions you are making clearly.