A portion of the binomial distribution table is displayed below. nr 0.01 0.05 0.10 0.15 0.20 0.25 0.30 0 0.961 0.815 0.656 0.522 0.410 0.316 0.240 0.179 0.130 0.092 0.063 0.041 0.039 0.171 0.292 0.368 0.410 0.422 0.412 0.384 0.346 0.299 0.250 0.200 2 0.001 0.014 0.049 0.098 0.154 0.211 0.265 0.311 0.346 0.368 0.375 0.368 0.35 0.40 0.45 0.50 0.55 4. 3 0.000 0.000 0.004 0.011 0.026 0.047 0.076 0.111 0.154 0.200 0.250 0.299 4 0.000 0.000 0.000 0.001 0.002 0.004 0.008 0.015 0.026 0.041 0.063 0.092 Use the above table to find the P(r) values, rounded to three decimal places for n 4 and p 0.45. P(C) 3 Substitute these values into the formula and simplify. P(r 2 3) P(3) + P(4)

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Step 13
A portion of the binomial distribution table is displayed below.
nr
0.01
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.55
0.240 0.179 0.130 0.092 0.063 0.041
0.50
4
0.961 0.815 0.656 0.522 0.410 0.316
1 0.039 0.171 0.292 0.368 0.410 0.422 0.412 0.384 0.346 0.299 0.250 0.200
2 0.001 0.014
0.049 0.098 0.154 0.211 0.265 0.311 0.346 0.368 0.375 0.368
3
0.000 0.000 0.004 0.011 0.026 0.047 0.076 0.111 0.154 0.200 0.250 0.299
4
0.000 0.000 0.000 0.001
0.002 0.004 0.008
0.015 0.026 0.041 0.063 0.092
Use the above table to find the P(r) values, rounded to three decimal places for n 4 and p 0.45.
P(F)
3
4
Substitute these values into the formula and simplify.
P(r 2 3) - P(3) + P(4)
The probability that at least three professors are extroverted is less than
professors does not
professors. We must try a bigger
0.77, so interviewing four
ensure that you are at least 77% sure of interviewing at least three extroverted
V yalue for n.
Transcribed Image Text:Step 13 A portion of the binomial distribution table is displayed below. nr 0.01 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.55 0.240 0.179 0.130 0.092 0.063 0.041 0.50 4 0.961 0.815 0.656 0.522 0.410 0.316 1 0.039 0.171 0.292 0.368 0.410 0.422 0.412 0.384 0.346 0.299 0.250 0.200 2 0.001 0.014 0.049 0.098 0.154 0.211 0.265 0.311 0.346 0.368 0.375 0.368 3 0.000 0.000 0.004 0.011 0.026 0.047 0.076 0.111 0.154 0.200 0.250 0.299 4 0.000 0.000 0.000 0.001 0.002 0.004 0.008 0.015 0.026 0.041 0.063 0.092 Use the above table to find the P(r) values, rounded to three decimal places for n 4 and p 0.45. P(F) 3 4 Substitute these values into the formula and simplify. P(r 2 3) - P(3) + P(4) The probability that at least three professors are extroverted is less than professors does not professors. We must try a bigger 0.77, so interviewing four ensure that you are at least 77% sure of interviewing at least three extroverted V yalue for n.
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