10b90b0f-32bd-48bf-9996-d93ec00aaf22 19 Norm Schutzkus 4 5 false false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

Using the scatter diagram given below, estimate the amount of downtime you would expect for an operation in this area if the operation has to be ceased if the probability that a maximum wave height of 7m is exceeded in a 40 minute duration is greater than 0.01. (use a spreadsheet program for this question as it will take too long to calculate by hand)

Maximum wave height H.max 7 m * :

Significant wave height H.S 12345616 mat m * transpose :

Mean crossing up period T.Z 2.5 3.5 4.5 5.5 6.5 7.5 8.5 17 mat s * :

duration 40 min * :

Estimate number of waves for each crossing up period:

N.Z duration T.Z / vectorize : 96068653343636932028217 mat

Calculate the probability of a 7m wave being exceeded in a 40 minute duration of each sea state and identify the sea states in which this is greater than 0.01.

Data 6000000350000014240000282103000407300200861644001323627237114268 mat :

P data Data 1 Data rows 2 Data cols submatrix : r 1 data rows range c 1 data cols range data r c el 0 ≠ d r c el data r c el : if P r col 112 H.max Data r 1 el m * / (2^* - exp - (N.Z transpose^- : 21 line for for P P transpose d * vectorize : r 1 P rows range c 1 P cols range data2 r c el 1 P r c el 0.01 > (- : for for data2 data * vectorize 51 line :

P data Data 1 Data rows 2 Data cols submatrix : r 1 data rows range P r el 112 H.max Data r 1 el m * / (2^* - exp - (N.Z^- vectorize (transpose : c 1 data cols range data r c el 0 ≠ d r c el 1 : if 11 line for 21 line for PP P 1 el : i 2 P length range PP PP P i el augment : for P PP transpose : P P d * vectorize : r 1 P rows range c 1 P cols range P r c el 0.01 > data2 r c el 1 : data2 r c el 0 : if for for data2 data * vectorize 81 line :

n P2 t0 0 time : i 1 n range data Data 1 Data rows 2 Data cols submatrix : r 1 data rows range c 1 data cols range d r c el 1 data r c el 0 ≠ (* : P r col 112 H.max Data r 0 el m * / (2^* - exp - (N.Z transpose^- : 21 line for for P2 P transpose d * vectorize : r 1 P2 rows range c 1 P2 cols range data2 r c el 1 P2 r c el 0.01 > (- : for for data2 data * vectorize 51 line for t1 0 time : t1 t0 - 41 line :

P 00000030000014200002821000000000000000000000067 mat

N 1 :

T1 N P2 : #

n P3 t0 0 time : i 0 n range data Data 1 Data rows 2 Data cols submatrix : N2.Z N.Z transpose : r 1 data rows range c 1 data cols range d r c el 1 data r c el 0 ≠ (* : P r col 112 H.max Data r 0 el m * / (2^* - exp - ((N2.Z^- : 21 line for for P2 P transpose d * vectorize : r 1 P2 rows range c 1 P2 cols range data2 r c el 1 P2 r c el 0.01 > (- : for for data2 data * vectorize 61 line for t1 0 time : t1 t0 - 41 line :

T2 N P3 : #

T1 T2 - T1 / % #