  # If x is a binomial random variable, use the binomial probability table to find the probabilities below.a. P(x

Question help_outlineImage TranscriptioncloseIf x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x<8) for n 15, p 0.7 b. P(x2 15) for n 25, p 0.3 c. P(x 2) for n 20, p 0.4 Click here to view a portion of the binomial probability table for n = 15. Click here to view a portion of the binomial probability table for n = 20. Click here to viewa portion of the binomial probability table for n 25 a. P(x 8) (Round to three decimal places as needed.) fullscreen
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Step 1

a.

The binomial probability table for n=15 and p=0.7.

From the binomial probability table for n=15 and p=0.7, we have help_outlineImage Transcriptioncloseop CUMULATIVE BINOMIAL PROBABILITIES Tabulated values are P(< k) (computations are rounded at the third decimal place.) N 15 kp i 0.1 0.4 0.6 0.2 0.3 0.5 0.7 0.8 0.9 0 0.206 0.035 0.005 0.000 0.000 0.000 0.000 0.000 0.000 1 2 3 0. 549 0.167 0.035 0.005 0.000 0.000 0.000 0.000 0.000 0.816 0.398 0.127 0.027 0.004 0.000 0.000 0.000 0.000 0.944 0.648 0.297 0.091 0.018 0.002 0.000 0.000 0.000 0.987 0.836 0. 515 0.217 0.059 0.009 0.001 0.000 0.000 0.998 0.939 0.722 0.403 0.151 0.034 0.004 0.000 0.000 5 6 7 8 1.000 0.982 0.869 0.610 0.304 0.095 0.015 0.001 0.000 1.000 0.996 0.950 0.787 0. 500 0.213 0.050 0.004 0.000 1.000 0.999 0.985 0.905 0.696 0.390 0.131 0.018 0.000 1.000 1.000 0.996 0.966 0.849 0.597 .278 0.061 0.002 1.000 1.000 0.999 0.991i 0.941 0.783 0.485 0.164 0.013 10 1.000 1.000 1.000 0.998 0.982 0.909 0.703 0.352 0.056 1.000 1.000 1.000 1.000 0.996 0.973 0.873 0.602 0.184 1.000 1.000 1.000 1.000 1.000 0.995 0.965 0.8833 0.451 1.000 1.000 1.000 1.000 1.000 1.000 0.995 0.965 0.794 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 11 12 13 14 15 k: Number of success p: Probability of success of one trial P(X<8) P(XST) 0.050 fullscreen
Step 2

b.

The binomial probability table for n=25 and p=0.3.

From the binomial pro... help_outlineImage TranscriptioncloseCUNULATIVE BINOMIAL PROBABILITIES Tabulated values are P(k) (Computations are rounded at the third decimal place.) N25 K\PI .2 .7 o.1 o.3 o.4 o.5 o.6 o.8 o.072 0.004 o.000 0.000 0.000 0.000 0.000 0. 000 .000 o.271 .027 0.002 0.000 o.000 0. o00 0.000 o.000 0.000 .764 0.234 0.033 o.002 .000o o.000 0. 000 .000 .000 .902 .421 .090 o.009 .00o o.000 0.000 .000 .000 0.967 0.617 0.193 0.029 0.002 0.000 0.000 0.000 0.000 .991 o.998 0.891 o.780 0.341 0.074 0.007 0.000 0.o00 0.000 o.000 0.000 0.000 0.000 1.000 0.953 .677 o.274 0.054 0.004 0.000 .000 .000 1.000 0.983 0.811 o.425 0.11S o.013 0.000 0.000 o.000 .212 0.034 0.002 0.000 0.000 o. 512 0.154 0.022 o.001 1.000 0.994 0.902 0.S86 11 12 13 14 is 1.000 0.998 0.956 o.732 0.34s o.o7s 0.o06 0.000 o.000 1.000 1.000 0.983 0.846 O.300 1.000 1.00o o.994 0.922 0.655 0. 268 0.044 o.002 0.000 1.000 1.006 1.000 .987 .885 . 575 .189 o.017 .000 16 17 18 1.000 1.000 1.000 .996 0.946 0.726 0.323 o.047 .000 1.000 1.000 1.000 0.999 0.978 1.000 1.000 1.000 1.000 0.993 0.998 1.000 1.000 1.000 1.000 1.00o 0,846 o.926 .971 o.991 0.488 0.659 0.807 0.910 0.S79 0.098 0.109 o. 220 0.009 . 383 0.033 20 1.000 1.000 1.000 1.000 1.00o .000 .000 1.000 i.000 1.000o 1.000 0. 991 0.902 o.463 i.000 .000o 1.000 1.000 1.000 1.000 0.998 o.973 0.729 1.000 1.000 1.000 1.000 1.000 1.000 1.000 o.996 0.928 1.000 .00o 1.000 1.000 1.000 1. 000 1.000 i.000 1.000 o.99 0.967 o.766 0.2136 23 P(X215) 1-P(X<14) =1-0.998 0.002 NM D000 Nm O0009 र्व क्व स्व स५ NNNNN fullscreen

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