1. The weights of deer in a national park are normally distributed with a mean of 65 kilograms and a standard deviation of 8.4 kilograms. a) What is the probability that an individual deer selected at random and weighed will weigh more than 67 kilograms? b) What is the probability that 31 deer chosen at random and weighed will have a mean weight more than 67 kilograms? c) What is the probability that 31 deer chosen at randon and weighed will have a mean weight between 59 and 67 kilograms? 2, Find z such that 6% of the area under the standard normal curve lies to the right of z.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. The weights of deer in a national park are normally distributed with a mean of 65 kilograms
and a standard deviation of 8.4 kilograms.
a) What is the probability that an individual deer selected at random and weighed will
weigh more than 67 kilograms?
b) What is the probability that 31 deer chosen at random and weighed will have a
mean weight more than 67 kilograms?
c) What is the probability that 31 deer chosen at randon and weighed will have a
mean weight between 59 and 67 kilograms?
2, Find z such that 6% of the area under the standard normal curve lies to
the right of z.
Transcribed Image Text:1. The weights of deer in a national park are normally distributed with a mean of 65 kilograms and a standard deviation of 8.4 kilograms. a) What is the probability that an individual deer selected at random and weighed will weigh more than 67 kilograms? b) What is the probability that 31 deer chosen at random and weighed will have a mean weight more than 67 kilograms? c) What is the probability that 31 deer chosen at randon and weighed will have a mean weight between 59 and 67 kilograms? 2, Find z such that 6% of the area under the standard normal curve lies to the right of z.
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