Homework Help is Here – Start Your Trial Now!
Math
Statistics
Assume that a procedure yields a binomial distribution with n=6 trials and a probability of success of p=0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 3.

Assume that a procedure yields a binomial distribution with n=6 trials and a probability of success of p=0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 3.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Topic Video
Question

Assume that a procedure yields a binomial distribution with n=6 trials and a probability of success of p=0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 3.

Binomial Probabilities 01 .05 10 .20 .30 .40 .50 60 .70 80 .90 .95 .99 2 .980 .902 .810 .640 .490 .360 .250 .160 090 040 010 002 0+ 2 1 020 .095 .180 .320 .420 .480 .500 480 420 320 .180 095 .020 1 0+ .002 .010 .040 .090 .160 .250 360 490 640 810 902 .980 2 3 970 857 729 .512 .343 216 .125 064 027 005 001 0+ 0+ 3 1 029 .135 243 .384 .441 .432 .375 268 .189 096 027 007 0+ 1 2 0+ .007 .027 .096 .189 .288 375 432 441 384 243 .135 .029 2 3 0+ 0+ .001 .008 .027 .064 .125 216 343 512 .729 857 .970 3 4 951 .815 .656 410 .240 .130 .062 026 008 002 0+ 0+ 0+ 1 039 .171 .292 410 .412 .346 .250 .154 076 026 004 0+ 0+ 1 2 001 .014 .049 .154 .265 .346 .375 346 265 .154 049 014 .001 3 0+ 0+ .004 .026 .076 .154 .250 346 412 410 292 .171 .039 3 4. 0+ 0+ 0+ .002 .008 .026 .062 .130 240 410 656 815 .961 4. 5 951 .774 .590 .326 .168 .078 .031 010 002 0+ 0+ 0+ 0+ 5 1 048 .204 .328 410 .360 .259 .156 077 028 006 0+ 0+ 0+ 1 001 .021 .073 .205 .309 .346 .312 230 .132 051 005 001 0+ 2 3 0+ .001 .008 .051 .132 230 312 346 309 205 073 021 .001 3 4 0+ 0+ 0+ .006 .028 .077 .156 259 360 410 328 204 .048 4. 0+ 0+ 0+ 0+ .00e .010 .031 078 .168 328 590 .774 .951 941 .735 .531 .262 .118 .047 .016 004 001 0+ 0+ 0+ 0+ 6 1 057 .232 .354 .393 .303 .187 .094 037 010 002 0+ 0+ 0+ 1 2 001 .031 .098 246 .324 .311 .234 .138 060 015 001 0+ 0+ 2 3 0+ .002 015 082 .185 276 312 276 .185 082 015 002 0+ 3 4 0+ 0+ .001 .015 .060 .138 .234 311 324 246 095 031 .001 5 0+ 0+ 0+ .002 .010 .037 .094 .187 303 393 354 232 .057 5 6 0+ 0+ 0+ 0+ .001 .004 .016 047 .118 262 531 .735 .941 7 932 .698 478 .210 .082 .c28 .008 002 0+ 0+ 0+ 0+ 0+ 1 066 .257 372 .367 .247 .131 .055 017 004 0+ 0+ 0+ 0+ 1 2 002 .041 .124 275 .318 .261 .164 077 025 004 0+ 0+ 0+ 2 3 0+ .004 .023 .115 .227 .290 273 194 097 029 003 0+ 0+ 3 0+ 0+ .003 .029 097 194 .273 290 227 .115 023 004 0+ 4 0+ 0+ 0+ .004 .025 .077 .164 261 318 275 .124 041 .002 5 6 0+ 0+ 0+ 0+ .004 .017 .065 .131 247 367 372 257 .066 6 0+ 0+ 0+ 0+ 0+ .00e .008 028 082 210 478 698 .932 7 8 923 .663 430 .168 .058 .017 .004 001 0+ 0+ 0+ 0+ 0+ 8 1 075 .279 .383 .336 .198 .090 .031 008 001 0+ 0+ 0+ 0+ 1 2 .003 .051 149 294 .296 .209 .109 041 010 001 0+ 0+ 0+ 3 0+ .005 .033 .147 .254 .279 .219 .124 047 009 0+ 0+ 0+ 3 4 0+ 0+ .005 .046 .136 .232 .273 232 .136 046 005 0+ 0+ 5 0+ 0+ 0+ .009 .047 124 .219 279 254 .147 033 005 0+ 5 0+ 0+ 0+ .001 .010 .041 .109 209 296 294 .149 051 .003 6 0+ 0+ 0+ 0+ .001 .008 .031 .090 .198 336 383 279 .075 7 8 0+ 0+ 0+ 0+ 0+ .001 .004 017 058 .168 430 .663 .923 01 .05 .10 .20 .30 .40 .50 60 70 80 .90 95 .99 NOTE 0+ represents a positive probebilty less than 0.0005.
Transcribed Image Text:Binomial Probabilities 01 .05 10 .20 .30 .40 .50 60 .70 80 .90 .95 .99 2 .980 .902 .810 .640 .490 .360 .250 .160 090 040 010 002 0+ 2 1 020 .095 .180 .320 .420 .480 .500 480 420 320 .180 095 .020 1 0+ .002 .010 .040 .090 .160 .250 360 490 640 810 902 .980 2 3 970 857 729 .512 .343 216 .125 064 027 005 001 0+ 0+ 3 1 029 .135 243 .384 .441 .432 .375 268 .189 096 027 007 0+ 1 2 0+ .007 .027 .096 .189 .288 375 432 441 384 243 .135 .029 2 3 0+ 0+ .001 .008 .027 .064 .125 216 343 512 .729 857 .970 3 4 951 .815 .656 410 .240 .130 .062 026 008 002 0+ 0+ 0+ 1 039 .171 .292 410 .412 .346 .250 .154 076 026 004 0+ 0+ 1 2 001 .014 .049 .154 .265 .346 .375 346 265 .154 049 014 .001 3 0+ 0+ .004 .026 .076 .154 .250 346 412 410 292 .171 .039 3 4. 0+ 0+ 0+ .002 .008 .026 .062 .130 240 410 656 815 .961 4. 5 951 .774 .590 .326 .168 .078 .031 010 002 0+ 0+ 0+ 0+ 5 1 048 .204 .328 410 .360 .259 .156 077 028 006 0+ 0+ 0+ 1 001 .021 .073 .205 .309 .346 .312 230 .132 051 005 001 0+ 2 3 0+ .001 .008 .051 .132 230 312 346 309 205 073 021 .001 3 4 0+ 0+ 0+ .006 .028 .077 .156 259 360 410 328 204 .048 4. 0+ 0+ 0+ 0+ .00e .010 .031 078 .168 328 590 .774 .951 941 .735 .531 .262 .118 .047 .016 004 001 0+ 0+ 0+ 0+ 6 1 057 .232 .354 .393 .303 .187 .094 037 010 002 0+ 0+ 0+ 1 2 001 .031 .098 246 .324 .311 .234 .138 060 015 001 0+ 0+ 2 3 0+ .002 015 082 .185 276 312 276 .185 082 015 002 0+ 3 4 0+ 0+ .001 .015 .060 .138 .234 311 324 246 095 031 .001 5 0+ 0+ 0+ .002 .010 .037 .094 .187 303 393 354 232 .057 5 6 0+ 0+ 0+ 0+ .001 .004 .016 047 .118 262 531 .735 .941 7 932 .698 478 .210 .082 .c28 .008 002 0+ 0+ 0+ 0+ 0+ 1 066 .257 372 .367 .247 .131 .055 017 004 0+ 0+ 0+ 0+ 1 2 002 .041 .124 275 .318 .261 .164 077 025 004 0+ 0+ 0+ 2 3 0+ .004 .023 .115 .227 .290 273 194 097 029 003 0+ 0+ 3 0+ 0+ .003 .029 097 194 .273 290 227 .115 023 004 0+ 4 0+ 0+ 0+ .004 .025 .077 .164 261 318 275 .124 041 .002 5 6 0+ 0+ 0+ 0+ .004 .017 .065 .131 247 367 372 257 .066 6 0+ 0+ 0+ 0+ 0+ .00e .008 028 082 210 478 698 .932 7 8 923 .663 430 .168 .058 .017 .004 001 0+ 0+ 0+ 0+ 0+ 8 1 075 .279 .383 .336 .198 .090 .031 008 001 0+ 0+ 0+ 0+ 1 2 .003 .051 149 294 .296 .209 .109 041 010 001 0+ 0+ 0+ 3 0+ .005 .033 .147 .254 .279 .219 .124 047 009 0+ 0+ 0+ 3 4 0+ 0+ .005 .046 .136 .232 .273 232 .136 046 005 0+ 0+ 5 0+ 0+ 0+ .009 .047 124 .219 279 254 .147 033 005 0+ 5 0+ 0+ 0+ .001 .010 .041 .109 209 296 294 .149 051 .003 6 0+ 0+ 0+ 0+ .001 .008 .031 .090 .198 336 383 279 .075 7 8 0+ 0+ 0+ 0+ 0+ .001 .004 017 058 .168 430 .663 .923 01 .05 .10 .20 .30 .40 .50 60 70 80 .90 95 .99 NOTE 0+ represents a positive probebilty less than 0.0005.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS