14 Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.n=4 and p = 0.25a. Determine P(X=2) using the binomial probability formula.b. Determine P(X=2) using a table of binomial probabilities. Compare this answer to part (a).Click here for the binomial probability table.a. Using the binomial formula, P(X=2) is.(Round to three decimal places as needed.)b. Using the binomial probability table, P(X= 2) is(Round to three decimal places as needed.)Compare this result to the probability found in part (a). Choose the correct answer below.O A. The probability from part (b) is much larger than the probability from part (a).O B. The probability from part (a) is much larger than the probability from part (b).OC. The two probabilities are approximately equal at 3 decimal places.O D. The two probabilities are exactly equal at 3 decimal places.Click to select your answer(s). Binomial probabilities for values of n, x, and p0.10.20.250.30.40.50.60.70.750.80.90.900 0.800 0.750 0.700 0.600 0.500 0.400 0.300 0.250 0.200 0.1000.100 0.200 0.250 0.300 0.400 0.500 0.600 0.700 0.750 0.800 0.9002 00.810 0.640 0.563 0.490 0.360 0.250 0.160 0.090 0.063 0.040. 0.0100.180 0.320 0.375 0.420 0.480 0.500 0.480 0.420 0.375 0.320 0.1800.010 0.040 0.063 0.090 0.160 0.250 0.360 0.490 0.563 0.640 0.8100.729 0.512 0.422 0.343 0.216 0.125 0.064 0.027 0.016 0.008 0.0010.243 0.384 0.422 0.441 0.432 0.375 0.288 0.189 0.141 0.096 0.0270.027 0.096 0.141 0.189 0.288 0.375 0.432 0.441 0.422 0.384 0.2430.ect30.001 0.008 0.016 0.027 0.064 0.125 0.216 0.343 0.422 0.512 0.729fro0.656 0.410 0.316 0.240 0.130 0.063 0.026 0.008 0.004 0.002 0.0000.292 0.410 0.422 0.412 0.346 0.250 0.154 0.076 0.047 0.026 0.0040.049 0.154 0.211 0.265 0.346 0.375 0.346 0.265 0.211 0.154 0.0490.004 0.026 0.047 0.076 0.154 0.250 0.346 0.412 0.422 0.410 0.2920.000 0.002 0.004 0.008 0.026 0.063 0.130 0.240 0.316 0.410 0.6564.y froaces.34.0.590 0.328 0.237 0.168 0.078 0.031 0.010 0.002 0.001 0.000 0.0000.328 0.410 0.396 0.360 0.259 0.156 0.077 0.028 0.015 0.006 0.0000.073 0.205 0.264 0.309 0.346 0.312 0.230 0.132 0.088 0.051 0.0080.008 0.051 0.088 0.132 0.230 0.312 0.346 0.309 0.264 0.205 0.0730.000 0.006 0.015 0.028 0.077 0.156 0.259 0.360 0.396 0.410 0.3280.000 0.000 0.001 0.002 0.010 0.031 0.078 0.168 0.237 0.328 0.5905.3.4.0.531 0.262 0.178 0.118 0.047 0.016 0.004 0.001 0.000 0.000 0.0000.354 0.393 0.356 0.303 0.187 0.094 0.037 0.010 0.004 0.002 0.0000.098 0.246 0.297 0.324 0.311 0.234 0.138 0.060 0.033 0.015 0.0010.015 0.082 0.132 0.185 0.276 0.313 0.276 0.185 0.132 0.082 0.0150.001 0.015 0.033 0.060 0.138 0.234 0.311 0.324 0.297 0.246 0.0980.000 0.002 0.004 0.010 0.037 0.094 0.187 0.303 0.356 0.393 0.3540.000 0.000 0.000 0.001 0.004 0.016 0.047 0.118 0.178 0.262 05316.PrintDone

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Description: 14 Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.n=4 and p = 0.25a. Determine P(X=2) using the binomial probability formula.b. Determine P(X=2) using a table of bino

The binomial distribution with parameters n and p is the discrete probability distribution of the…

Math

Statistics

Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes. n= 4 and p = 0.25 a. Determine P(X=2) using the binomial probability formula. b. Determine P(X=2) using a table of binomial probabilities. Compare this answer to part (a). Click here for the binomial probability table. a. Using the binomial formula, P(X=2) is. (Round to three decimal places as needed.) b. Using the binomial probability table, P(X= 2) is (Round to three decimal places as needed.) Compare this result to the probability found in part (a). Choose the correct answer below. O A. The probability from part (b) is much larger than the probability from part (a). OB. The probability from part (a) is much larger than the probability from part (b). OC. The two probabilities are approximately equal at 3 decimal places. O D. The two probabilities are exactly equal at 3 decimal places.

Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes. n= 4 and p = 0.25 a. Determine P(X=2) using the binomial probability formula. b. Determine P(X=2) using a table of binomial probabilities. Compare this answer to part (a). Click here for the binomial probability table. a. Using the binomial formula, P(X=2) is. (Round to three decimal places as needed.) b. Using the binomial probability table, P(X= 2) is (Round to three decimal places as needed.) Compare this result to the probability found in part (a). Choose the correct answer below. O A. The probability from part (b) is much larger than the probability from part (a). OB. The probability from part (a) is much larger than the probability from part (b). OC. The two probabilities are approximately equal at 3 decimal places. O D. The two probabilities are exactly equal at 3 decimal places.

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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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

Shown below are the number of trials and success probability for some Bernoulli trials. Let X denote the total number of successes.
n=4 and p = 0.25
a. Determine P(X=2) using the binomial probability formula.
b. Determine P(X=2) using a table of binomial probabilities. Compare this answer to part (a).
Click here for the binomial probability table.
a. Using the binomial formula, P(X=2) is.
(Round to three decimal places as needed.)
b. Using the binomial probability table, P(X= 2) is
(Round to three decimal places as needed.)
Compare this result to the probability found in part (a). Choose the correct answer below.
O A. The probability from part (b) is much larger than the probability from part (a).
O B. The probability from part (a) is much larger than the probability from part (b).
OC. The two probabilities are approximately equal at 3 decimal places.
O D. The two probabilities are exactly equal at 3 decimal places.
Click to select your answer(s).

Binomial probabilities for values of n, x, and p
0.1
0.2
0.25
0.3
0.4
0.5
0.6
0.7
0.75
0.8
0.9
0.900 0.800 0.750 0.700 0.600 0.500 0.400 0.300 0.250 0.200 0.100
0.100 0.200 0.250 0.300 0.400 0.500 0.600 0.700 0.750 0.800 0.900
2 0
0.810 0.640 0.563 0.490 0.360 0.250 0.160 0.090 0.063 0.040. 0.010
0.180 0.320 0.375 0.420 0.480 0.500 0.480 0.420 0.375 0.320 0.180
0.010 0.040 0.063 0.090 0.160 0.250 0.360 0.490 0.563 0.640 0.810
0.729 0.512 0.422 0.343 0.216 0.125 0.064 0.027 0.016 0.008 0.001
0.243 0.384 0.422 0.441 0.432 0.375 0.288 0.189 0.141 0.096 0.027
0.027 0.096 0.141 0.189 0.288 0.375 0.432 0.441 0.422 0.384 0.243
0.
ect
3
0.001 0.008 0.016 0.027 0.064 0.125 0.216 0.343 0.422 0.512 0.729
fro
0.656 0.410 0.316 0.240 0.130 0.063 0.026 0.008 0.004 0.002 0.000
0.292 0.410 0.422 0.412 0.346 0.250 0.154 0.076 0.047 0.026 0.004
0.049 0.154 0.211 0.265 0.346 0.375 0.346 0.265 0.211 0.154 0.049
0.004 0.026 0.047 0.076 0.154 0.250 0.346 0.412 0.422 0.410 0.292
0.000 0.002 0.004 0.008 0.026 0.063 0.130 0.240 0.316 0.410 0.656
4.
y fro
aces.
3
4.
0.590 0.328 0.237 0.168 0.078 0.031 0.010 0.002 0.001 0.000 0.000
0.328 0.410 0.396 0.360 0.259 0.156 0.077 0.028 0.015 0.006 0.000
0.073 0.205 0.264 0.309 0.346 0.312 0.230 0.132 0.088 0.051 0.008
0.008 0.051 0.088 0.132 0.230 0.312 0.346 0.309 0.264 0.205 0.073
0.000 0.006 0.015 0.028 0.077 0.156 0.259 0.360 0.396 0.410 0.328
0.000 0.000 0.001 0.002 0.010 0.031 0.078 0.168 0.237 0.328 0.590
5.
3.
4.
0.531 0.262 0.178 0.118 0.047 0.016 0.004 0.001 0.000 0.000 0.000
0.354 0.393 0.356 0.303 0.187 0.094 0.037 0.010 0.004 0.002 0.000
0.098 0.246 0.297 0.324 0.311 0.234 0.138 0.060 0.033 0.015 0.001
0.015 0.082 0.132 0.185 0.276 0.313 0.276 0.185 0.132 0.082 0.015
0.001 0.015 0.033 0.060 0.138 0.234 0.311 0.324 0.297 0.246 0.098
0.000 0.002 0.004 0.010 0.037 0.094 0.187 0.303 0.356 0.393 0.354
0.000 0.000 0.000 0.001 0.004 0.016 0.047 0.118 0.178 0.262 0531
6.
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