Answer:
2*2*2*3*5*5
or
2^3 *3* 5^2
Step-by-step explanation:
600 = 60*10
These are not prime so keep going, breaking 60 and 10 down
= 6*10 * 5*2
6 and 10 are not prime so keep going ( 5 and 2 are prime)
= 3*2 * 5*2 * 5*2
All of the numbers are prime, so we normally write them in order from smallest to largest
2*2*2*3*5*5
We can write with exponents
2^3 *3* 5^2
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%