Probability Distributions - Oxford University Press
Probability Distributions - Oxford University Press
Probability Distributions - Oxford University Press
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212 Business Statistics Using Excel<br />
(c) (0.7) 3 . Parts (b) and (c) are straightforward to calculate, and part (a) can be calculated<br />
from equation (5.12) as follows:<br />
3<br />
C<br />
0<br />
3! 3! 3 2 1<br />
0! 3 0 ! 0!3! 1 3 2 1 1<br />
× ×<br />
= = = =<br />
�<br />
× × ×<br />
( )<br />
Therefore, substituting these values into the problem solution gives:<br />
( ) ( ) ( ) ( ) × × ( )<br />
3<br />
0 3<br />
3<br />
P nobulls = P X= 0 = C 0.3 0.7 = 1 1 07 . = 0. 343<br />
Excel solution—Example 5.16<br />
Figure 5.35 illustrates the Excel solution for Example 5.16:<br />
Figure 5.35<br />
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➜ Excel Solution<br />
0<br />
Binomial probability of ‘r’ successes from ‘n’ attempts using BINOMDIST().<br />
Binomial coefficients using COMBIN().<br />
Factorial values using FACT().<br />
Number of trials Cell D3 Value<br />
<strong>Probability</strong> of hitting bull, p Cell D4 Value<br />
<strong>Probability</strong> of missing bull, q Cell D5 Formula: =12D4<br />
<strong>Probability</strong> distribution<br />
r Cells D10:D13 Values<br />
P(X = r) Cells E10:E13 Formula: =BINOMDIST(D10,$D$3,$D$4,FALSE)<br />
Copy formula from E10:E13<br />
Total Cell E14 Formula: =SUM(E10:E13)<br />
Number of combinations<br />
r Cells D17:D20 Values<br />
nCr Cells E17:E20 Formula: =COMBIN($D$3,D17)<br />
Copy formula from E17:E20
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