1. A large species of tarantula, the Brazilian Giant Tawny Red, has 2 body parts

Question

1. A large species of tarantula, the Brazilian Giant Tawny Red, has 2 body parts, the abdomen and cephalothorax. The cephalothorax is covered by a shell called the carapace. Carapace length of the adult male is normally distributed with 18.14 and ?-1.76. a) Find the % of adult malesthat havecarapace lengths from 16-19 mm X-Ilp'z-IV-(ll/O. ) = 10-118.ly/1.? o X-19?. 14-eale): la-G8 uq l-?0): 8.WI b) Find the % of adult males that have carapace lengths >18.5 mm. c) Find the % of adult males that have carapace lengths

Explanation / Answer

Solutionb:

mean=18.14

sd=1.76

x=18.5

P(X>18.5)

use R code below

pnorm(18.5,mean=18.14,sd=1.76,lower.tail = FALSE)

=0.4189636

=0.4189636*100

=41.9%

ANSWER:41.9%

Solutionc:

P(X<16.5)

Rcode is

pnorm(16.5,mean=18.14,sd=1.76)

0.1757152

=0.1757152*100

=17.57%

ANSWER:17.57%

Solutiond:

Z=1.3 for top 10%

Z=x-mean/stddev

1.3=x-18.14/1.76

X=1.3*1.76+18.14

=20.428

=20.43

length of the top 10% adult males=20.43

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