A"wheat cent" is a one-cent coin ($0.01) produced in the united states between 1909 and 1956. the name comes from a picture of wheat on the back of the coin. assume that 1 out of every 350 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 4 dollars' worth of pennies (in other words, 400 pennies). (a) write an expression for the exact probability that cassandra finds at least 2 wheat cents among her 400 pennies. (b) use either the poisson or normal approximation, whichever is appropriate, to estimate the probability that cassandra finds at least 2 wheat cents among her 400 pennies.

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)