This example is frivolous but shows how the normal distribution can approximate even sums of discrete r.v.'s. In an orchard, suppose the number X of worms in an apple has probability function: 0.03 0.025 0.02 0.015 0.01 0.005 920 224.5 230 x 236 240 245 250 266 260.5 13 0 1 2 3 f(x) 4 .3 .2 .1 Find the probability a basket with 250 apples in it has between 225 and 260 (inclusive) worms in it.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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This example is frivolous but shows how the normal distribution can approximate even
sums of discrete r.v.'s. In an orchard, suppose the number X of worms in an apple has probability
function:
0.03
0.025
0.02
0.015
0.01
0.005
920
26
224.5
230
x
236
240
245
250
266
260.5
13
0 1 2 3
f(x) 4 .3 .2 .1
Find the probability a basket with 250 apples in it has between 225 and 260 (inclusive) worms in it.
Transcribed Image Text:This example is frivolous but shows how the normal distribution can approximate even sums of discrete r.v.'s. In an orchard, suppose the number X of worms in an apple has probability function: 0.03 0.025 0.02 0.015 0.01 0.005 920 26 224.5 230 x 236 240 245 250 266 260.5 13 0 1 2 3 f(x) 4 .3 .2 .1 Find the probability a basket with 250 apples in it has between 225 and 260 (inclusive) worms in it.
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