The random variable X has a Binomial distribution with parameters n = 9 and p = 0.7
Find these probabilities: (see Excel worksheet)
Round your answers to the nearest hundredth
P(X < 5)
P(X = 5)
P(X > 5)
X ~ bin (9,0.7)
the probabilities are:-
ANSWER | excel function and workings | |
P(X<5) | 0.10 |
P(X<5) = P(X 5) - P(X=5) = (0.27- 0.17) = 0.10 [=BINOMDIST(5,9,0.7,TRUE)......you will get P(X 5) = 0.27 =BINOMDIST(5,9,0.7,FALSE).......you will get P(X=5) = 0.17 ] |
P(X=5) | 0.17 | =BINOMDIST(5,9,0.7,FALSE) |
P(X>5) | 0.73 |
P(X>5) = 1-P(X 5) = 1 - 0.27 = 0.73 [=BINOMDIST(5,9,0.7,TRUE)......you will get P(X 5) = 0.27 ] |
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