In a certain presidential election, Alaska's 40 election districts averaged 1,951.8 votes per district for a candidate. The standard deviation was 572.5. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district. This is the distribution X ~ N (1951.8, 572.5) Find the probability that a randomly selected district had fewer than 1,700 votes for this candidate. (Round your answer to four decimal places.) Sketch the graph

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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In a certain presidential election, Alaska's 40 election districts averaged 1,951.8 votes per district for a candidate. The standard deviation was 572.5. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district.

This is the distribution X ~ N (1951.8, 572.5)

  1. Find the probability that a randomly selected district had fewer than 1,700 votes for this candidate. (Round your answer to four decimal places.)
  2. Sketch the graph
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