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Assume that a procedure yields a binomial distribution with n = 4 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2. Click on the icon to view the binomial probabilities table. P(2)= (Round to three decimal places as needed.)

Assume that a procedure yields a binomial distribution with n = 4 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2. Click on the icon to view the binomial probabilities table. P(2)= (Round to three decimal places as needed.)

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
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Assume that a procedure yields a binomial distribution with n = 4 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2. Click on the icon to view the binomial probabilities table. P(2)= (Round to three decimal places as needed.)
Transcribed Image Text:Assume that a procedure yields a binomial distribution with n = 4 trials and a probability of success of p = 0.30. Use a binomial probability table to find the probability that the number of successes x is exactly 2. Click on the icon to view the binomial probabilities table. P(2)= (Round to three decimal places as needed.)
n 2 7 n 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X Binomial Probabilmes 01 950 020 0+ .970 0+ 0+ .961 039 .001 0+ 0+ 951 048 .001 0+ 0+ 0+ 941 057 .001 0+ 0+ 0+ 0+ 932 .066 002 0+ 0+ 0+ 0+ 0+ 923 075 003 0+ 0+ 0+ 0+ 0+ 0+ 01 .05 .902 .095 .002 .857 135 .007 0+ .815 .171 .014 0+ 0+ .774 .204 .021 .001 0+ 0+ .735 .232 .031 .002 0+ 0+ 0+ .698 .257 .041 ,004 0+ 0+ 0+ 0+ .663 .279 .051 .005 0+ 0+ 0+ 0+ 0+ .05 .010 .027 .001 .049 古古古古古古古古古古古古 .073 .354 .015 .001 .023 .003 .005 .20 .640 .320 .040 .512 .384 .096 .008 410 410 154 .026 .002 328 410 .205 051 .006 0+ .262 .393 .246 .082 .015 .002 0+ .210 .367 .275 .30 .490 .420 .090 0+ 0+ .343 .441 .189 .027 .240 .412 .265 .076 .008 20 .168 .360 .309 .132 .028 .002 168 .068 .336 .198 .294 .296 .147 .254 .046 136 .009 .047 .001 .010 .001 0+ 40 360 .30 .480 .160 .118 .303 .324 185 276 .060 138 .010 .087 .001 .004 .082 .028 .247 .131 .318 .261 115 .227 .290 .029 .097 .194 .004 .025 .077 0+ .004 .017 0+ 0+ .002 .216 432 288 .064 130 .346 346 .154 .026 .047 .187 .311 .50 .250 .017 .090 .209 279 .232 .124 .041 .008 .001 .40 .500 .250 .078 .031 .259 .156 .346 .312 230 .312 077 .156 .010 .031 .125 .375 .375 .125 .062 .250 .375 .250 .062 .016 .094 234 .312 .234 .094 .016 .008 .065 .164 .273 .273 .164 .065 .008 .004 .031 .109 .219 .273 .219 .109 .031 .004 .50 P n .60 .160 480 360 259 078 004 037 .138 276 311 .187 047 002 017 077 194 290 261 064 288 432 216 026 008 .154 076 346 265 346 412 .130 240 010 002 0+ 077 028 006 230 .132 .051 346 309 205 360 410 328 .131 028 .001 008 041 124 232 .70 090 420 490 279 027 189 441 343 .168 0+ 001 010 047 136 254 209 296 090 .196 017 058 .70 010 060 .185 324 303 118 0+ 004 025 097 227 318 247 082 80 040 320 640 008 096 384 512 002 026 154 410 410 0+ 002 015 052 246 393 262 0+ 0+ 004 029 115 275 367 210 0+ 0+ .001 009 046 147 294 336 .165 80 .90 010 .180 810 001 027 243 .729 0+ 004 049 292 656 0+ 007 .135 857 0+ 0+ 014 .171 815 0+ 0+ 0+ 0+ 008 .001 073 021 328 204 590 .774 0+ 0+ 001 015 095 354 531 0+ 0+ 0+ 003 023 124 372 478 0+ 0+ 0+ 0+ 005 033 149 353 430 95 002 .90 095 .902 0+ 0+ 0+ 002 031 232 .735 0+ 0+ 0+ 0+ 004 041 257 695 0+ 0+ 0+ 0+ 0+ 005 051 279 663 .99 0+ .020 ,980 0+ 0+ .029 .970 0+ 0+ .001 039 .961 0+ 0+ 0+ .001 .048 .951 0+ 0+ 0+ 0+ .001 .057 .941 0+ 0+ 0+ 0+ 0+ .002 .066 932 0+ 0+ 0+ 0+ 0+ 0+ .003 .075 .923 .99 X 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X n 2 3 7 n
Transcribed Image Text:n 2 7 n 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X Binomial Probabilmes 01 950 020 0+ .970 0+ 0+ .961 039 .001 0+ 0+ 951 048 .001 0+ 0+ 0+ 941 057 .001 0+ 0+ 0+ 0+ 932 .066 002 0+ 0+ 0+ 0+ 0+ 923 075 003 0+ 0+ 0+ 0+ 0+ 0+ 01 .05 .902 .095 .002 .857 135 .007 0+ .815 .171 .014 0+ 0+ .774 .204 .021 .001 0+ 0+ .735 .232 .031 .002 0+ 0+ 0+ .698 .257 .041 ,004 0+ 0+ 0+ 0+ .663 .279 .051 .005 0+ 0+ 0+ 0+ 0+ .05 .010 .027 .001 .049 古古古古古古古古古古古古 .073 .354 .015 .001 .023 .003 .005 .20 .640 .320 .040 .512 .384 .096 .008 410 410 154 .026 .002 328 410 .205 051 .006 0+ .262 .393 .246 .082 .015 .002 0+ .210 .367 .275 .30 .490 .420 .090 0+ 0+ .343 .441 .189 .027 .240 .412 .265 .076 .008 20 .168 .360 .309 .132 .028 .002 168 .068 .336 .198 .294 .296 .147 .254 .046 136 .009 .047 .001 .010 .001 0+ 40 360 .30 .480 .160 .118 .303 .324 185 276 .060 138 .010 .087 .001 .004 .082 .028 .247 .131 .318 .261 115 .227 .290 .029 .097 .194 .004 .025 .077 0+ .004 .017 0+ 0+ .002 .216 432 288 .064 130 .346 346 .154 .026 .047 .187 .311 .50 .250 .017 .090 .209 279 .232 .124 .041 .008 .001 .40 .500 .250 .078 .031 .259 .156 .346 .312 230 .312 077 .156 .010 .031 .125 .375 .375 .125 .062 .250 .375 .250 .062 .016 .094 234 .312 .234 .094 .016 .008 .065 .164 .273 .273 .164 .065 .008 .004 .031 .109 .219 .273 .219 .109 .031 .004 .50 P n .60 .160 480 360 259 078 004 037 .138 276 311 .187 047 002 017 077 194 290 261 064 288 432 216 026 008 .154 076 346 265 346 412 .130 240 010 002 0+ 077 028 006 230 .132 .051 346 309 205 360 410 328 .131 028 .001 008 041 124 232 .70 090 420 490 279 027 189 441 343 .168 0+ 001 010 047 136 254 209 296 090 .196 017 058 .70 010 060 .185 324 303 118 0+ 004 025 097 227 318 247 082 80 040 320 640 008 096 384 512 002 026 154 410 410 0+ 002 015 052 246 393 262 0+ 0+ 004 029 115 275 367 210 0+ 0+ .001 009 046 147 294 336 .165 80 .90 010 .180 810 001 027 243 .729 0+ 004 049 292 656 0+ 007 .135 857 0+ 0+ 014 .171 815 0+ 0+ 0+ 0+ 008 .001 073 021 328 204 590 .774 0+ 0+ 001 015 095 354 531 0+ 0+ 0+ 003 023 124 372 478 0+ 0+ 0+ 0+ 005 033 149 353 430 95 002 .90 095 .902 0+ 0+ 0+ 002 031 232 .735 0+ 0+ 0+ 0+ 004 041 257 695 0+ 0+ 0+ 0+ 0+ 005 051 279 663 .99 0+ .020 ,980 0+ 0+ .029 .970 0+ 0+ .001 039 .961 0+ 0+ 0+ .001 .048 .951 0+ 0+ 0+ 0+ .001 .057 .941 0+ 0+ 0+ 0+ 0+ .002 .066 932 0+ 0+ 0+ 0+ 0+ 0+ .003 .075 .923 .99 X 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 X n 2 3 7 n
Expert Solution
Step 1: Introduce the given information

Given, 

Number of trials, n = 4

Probability of success, p = 0.30

We need to find the probability that the number of successes x is exactly 2

We use binomial probability table to find the required probability.

steps

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