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.
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.
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....
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78b2ba10-2bd0-4ab9-8531-fe132feae460%2F7e4ed24b-f4ac-4c64-9a50-80be61cb5fa4%2Fin094nd_processed.jpeg&w=3840&q=75)
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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