At a local community college, 55% of students who enter the college as freshmen go on to graduate. four freshmen are randomly selected.

a. what is the probability that none of them graduates from the local college? (round your intermediate calculations and final answer to 4 decimal places.)

b. what is the probability that at most three will graduate from the local college? (round your intermediate calculations and final answer to 4 decimal places.)

c. what is the expected number that will graduate? (round your final answer to the nearest whole number.)

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

60: 45 =12: 9 =4: 3 so the answer is 4: 3