Use the binomial distribution table to find P(6) rounded to three decimal places. A portion of this table is displayed below. 0.01 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.941 0.735 0.531 0.377 0.262 0.178 0.118 0.075 0.047 0.028 0.016 0.008 0.232 0.354 0.399 0.393 0.356 0.303 0.244 0.187 0.136 0.094 0.061 0.031 0.098 0.176 0.246 0.297 0.324 0.328 0.311 0.278 0.234 0.186 0.002 0.015 0.041 0.082 0.132 0.185 0.235 0.276 0.303 0.313 0.303 0.000 0.001 0.005 0.015 0.033 0.060 0.095 0.138 0.186 0.234 0.278 0.000 0.000 0.000 0.002 0.004 0.010 0.020 0.037 0.061 0.094 0.136 0.002 0.004 0.008 0.016 0.028 6. 0.057 0.001 0.000 0.000 0.000 6. 0.000 0.000 0.000 0.000 0.000 0.000 0.001 When n = 6,r- 6, and p = 0.45, we have P(6) = X . So, the probability that all six professors are extroverts is 1234

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Step 2
Use the binomial distribution table to find P(6) rounded to three decimal places. A portion of this table is
displayed below.
nr
0.01
0.05
0.10
0.15
0.25
0.941 0.735 0.531 0.377 0.262 0.178 0.118 0.075 0.047 0.028 0.016 0.008
0.057 0.232 0.354 0.399 0.393 0.356 0.303 0.244 0.187 0.136 0.094 0.061
2 0.001 0.031 0.098 0.176 0.246 0.297 0.324 0.328 0.311 0.278 0.234 0.186
3 0.000 0.002 0.015 0.041 0.082 0.132 0.185 0.235 0.276 0.303 0.313 0.303
4 0.000 0.000 0.001 0.005 0.015 0.033 0.060 0.095 0.138 0.186 0.234 0.278
5 0.000 0.000 0.000 0.000 0.002 0.004 0.010 0.020 0.037 0.061 0.094 0.136
6 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.002 0.004 0.008 0.016 0.028
0.20
0.30
0.35
0.40
0.45
0.50
0.55
6.
When n = 6,r- 6, and p = 0.45, we have P(6) =
X. So, the probability that all six professors
are extroverts is
Transcribed Image Text:Step 2 Use the binomial distribution table to find P(6) rounded to three decimal places. A portion of this table is displayed below. nr 0.01 0.05 0.10 0.15 0.25 0.941 0.735 0.531 0.377 0.262 0.178 0.118 0.075 0.047 0.028 0.016 0.008 0.057 0.232 0.354 0.399 0.393 0.356 0.303 0.244 0.187 0.136 0.094 0.061 2 0.001 0.031 0.098 0.176 0.246 0.297 0.324 0.328 0.311 0.278 0.234 0.186 3 0.000 0.002 0.015 0.041 0.082 0.132 0.185 0.235 0.276 0.303 0.313 0.303 4 0.000 0.000 0.001 0.005 0.015 0.033 0.060 0.095 0.138 0.186 0.234 0.278 5 0.000 0.000 0.000 0.000 0.002 0.004 0.010 0.020 0.037 0.061 0.094 0.136 6 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.002 0.004 0.008 0.016 0.028 0.20 0.30 0.35 0.40 0.45 0.50 0.55 6. When n = 6,r- 6, and p = 0.45, we have P(6) = X. So, the probability that all six professors are extroverts is
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