Assume that a procedure yields a binomial distribution with nequals=2 trials and a probability of success of pequals=0.50 Use a binomial probability table to find the probability that the number of successes x is exactly 1 Click on the icon to view the binomial probabilities table. Upper P left parenthesis 1 right parenthesisP(1)equals=nothing (Round to three decimal places as needed.) Binomial Probabilities p n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 21 .020 .095 .180 .320 .420 .480 .500 .480 .420 .320 .180 .095 .020 1 2 0+ .002 .010 .040 .090 .160 .250 .360 .490 .640 .810 .902 .980 2 3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 31 .029 .135 .243 .384 .441 .432 .375 .288 .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 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 41 .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 2 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 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 51 .048 .204 .328 .410 .360 .259 .156 .077 .028 .006 0+ 0+ 0+ 1 2 .001 .021 .073 .205 .309 .346 .312 .230 .132 .051 .008 .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 5 0+ 0+ 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .951 5 6 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 0+ 0+ 0+ 0 61 .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 .098 .031 .001 4 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 6 7 0 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ 0 71 .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 4 0+ 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 0+ 4 5 0+ 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 5 6 0+ 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 6 7 0+ 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 7 8 0 .923 .663 .430 .168 .058 .017 .004 .001 0+ 0+ 0+ 0+ 0+ 0 81 .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+ 2 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+ 4 5 0+ 0+ 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ 5 6 0+ 0+ 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 6 7 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 8 n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x np NOTE: 0+ represents a positive probability less than 0.0005.
Assume that a procedure yields a binomial distribution with nequals=2 trials and a probability of success of pequals=0.50 Use a binomial probability table to find the probability that the number of successes x is exactly 1 Click on the icon to view the binomial probabilities table. Upper P left parenthesis 1 right parenthesisP(1)equals=nothing (Round to three decimal places as needed.) Binomial Probabilities p n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 21 .020 .095 .180 .320 .420 .480 .500 .480 .420 .320 .180 .095 .020 1 2 0+ .002 .010 .040 .090 .160 .250 .360 .490 .640 .810 .902 .980 2 3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 31 .029 .135 .243 .384 .441 .432 .375 .288 .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 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 41 .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 2 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 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 51 .048 .204 .328 .410 .360 .259 .156 .077 .028 .006 0+ 0+ 0+ 1 2 .001 .021 .073 .205 .309 .346 .312 .230 .132 .051 .008 .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 5 0+ 0+ 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .951 5 6 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 0+ 0+ 0+ 0 61 .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 .098 .031 .001 4 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 6 7 0 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ 0 71 .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 4 0+ 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 0+ 4 5 0+ 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 5 6 0+ 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 6 7 0+ 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 7 8 0 .923 .663 .430 .168 .058 .017 .004 .001 0+ 0+ 0+ 0+ 0+ 0 81 .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+ 2 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+ 4 5 0+ 0+ 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ 5 6 0+ 0+ 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 6 7 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 8 n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x np NOTE: 0+ represents a positive probability less than 0.0005.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
Assume that a procedure yields a binomial distribution with
probability of success of
nequals=2
trials and a pequals=0.50
Use a binomial probability table to find the probability that the number of successes x is exactly 1
Click on the icon to view the binomial probabilities table.
Upper P left parenthesis 1 right parenthesisP(1)equals=nothing
(Round to three decimal places as needed.)Binomial Probabilities
p
n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n
2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 2
1 .020 .095 .180 .320 .420 .480 .500 .480 .420 .320 .180 .095 .020 1
2 0+ .002 .010 .040 .090 .160 .250 .360 .490 .640 .810 .902 .980 2
3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 3
1 .029 .135 .243 .384 .441 .432 .375 .288 .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 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 4
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 2
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 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 5
1 .048 .204 .328 .410 .360 .259 .156 .077 .028 .006 0+ 0+ 0+ 1
2 .001 .021 .073 .205 .309 .346 .312 .230 .132 .051 .008 .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
5 0+ 0+ 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .951 5
6 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 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 .098 .031 .001 4
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 6
7 0 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ 0 7
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
4 0+ 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 0+ 4
5 0+ 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 5
6 0+ 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 6
7 0+ 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 7
8 0 .923 .663 .430 .168 .058 .017 .004 .001 0+ 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+ 2
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+ 4
5 0+ 0+ 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ 5
6 0+ 0+ 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 6
7 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 8
n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n
p
NOTE: 0+ represents a positive probability less than 0.0005.
p
n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n
2 0 .980 .902 .810 .640 .490 .360 .250 .160 .090 .040 .010 .002 0+ 0 2
1 .020 .095 .180 .320 .420 .480 .500 .480 .420 .320 .180 .095 .020 1
2 0+ .002 .010 .040 .090 .160 .250 .360 .490 .640 .810 .902 .980 2
3 0 .970 .857 .729 .512 .343 .216 .125 .064 .027 .008 .001 0+ 0+ 0 3
1 .029 .135 .243 .384 .441 .432 .375 .288 .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 0 .961 .815 .656 .410 .240 .130 .062 .026 .008 .002 0+ 0+ 0+ 0 4
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 2
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 0 .951 .774 .590 .328 .168 .078 .031 .010 .002 0+ 0+ 0+ 0+ 0 5
1 .048 .204 .328 .410 .360 .259 .156 .077 .028 .006 0+ 0+ 0+ 1
2 .001 .021 .073 .205 .309 .346 .312 .230 .132 .051 .008 .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
5 0+ 0+ 0+ 0+ .002 .010 .031 .078 .168 .328 .590 .774 .951 5
6 0 .941 .735 .531 .262 .118 .047 .016 .004 .001 0+ 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 .098 .031 .001 4
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 6
7 0 .932 .698 .478 .210 .082 .028 .008 .002 0+ 0+ 0+ 0+ 0+ 0 7
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
4 0+ 0+ .003 .029 .097 .194 .273 .290 .227 .115 .023 .004 0+ 4
5 0+ 0+ 0+ .004 .025 .077 .164 .261 .318 .275 .124 .041 .002 5
6 0+ 0+ 0+ 0+ .004 .017 .055 .131 .247 .367 .372 .257 .066 6
7 0+ 0+ 0+ 0+ 0+ .002 .008 .028 .082 .210 .478 .698 .932 7
8 0 .923 .663 .430 .168 .058 .017 .004 .001 0+ 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+ 2
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+ 4
5 0+ 0+ 0+ .009 .047 .124 .219 .279 .254 .147 .033 .005 0+ 5
6 0+ 0+ 0+ .001 .010 .041 .109 .209 .296 .294 .149 .051 .003 6
7 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 8
n x .01 .05 .10 .20 .30 .40 .50 .60 .70 .80 .90 .95 .99 x n
p
NOTE: 0+ represents a positive probability less than 0.0005.
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