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find the answer of letter (c) 5. Iii-om the study of normal variables, let X be a normally distributed variable with mean {.1 and standard

find the answer of letter (c)

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5. Iii-om the study of normal variables, let X be a normally distributed variable with mean {.1 and standard deviation 0', and let a and b be real numbers with o. 5 b. The percentage of all possible observations of :1: that lie between a and b is the same as the percentage of all possible observations of 2 that lie between (a til/o and {b Mia. One of the larger species of tarantulas is the Gmmnwslela. mollieomo, whose common name is the Brazilian giant tawny red. A tarantula has two body,r parts. The anterior part of the body,r is covered above by a shell. or carapace. We nd that the carapace length of the adult male G. melliooma is normally distributed with a mean cf 21.16 mm. and a standard deviation of 2.04 mm. Let 2: denote carapace iength for the adult male G'. mellieema. a {a} Sketch the distribution of the variable I. e {h} The percentage of adult male G. mellr'eema that have carapace length between 18.5 mm. and 20.5 mm. is equal to the area under the standard normal curve between and o {c} The percentage of adult male G. melanoma that have carapace length exceeding 21 mm. is equal to the area under the standard normal curve that lies to the of

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