The probability density function of the time you arrive at a terminal (in minutes after 8:00 a. m.) is f left-parenthesis x right-parenthesis equals StartStartFraction e Superscript negative StartFraction x Over 16EndFraction Baseline OverOver 16EndEndFraction for 0 less-than x . Determine the following probabilities.

a) You arrive by 9:00 A. M.

b) You arrive between 8:15 A. M. and 8:30 A. M.

c) You arrive before 8:10 A. M. on two or more days of five days. Assume that your arrival times on different days are independent.

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

3× __ -2=15 7 2× __+1=7 5 7× =22 15 5× __+10=2 8 × __+4=20 6 × =10 3 × __+2=8 6 × __+8=8 9 × __+7=20 6

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