Question

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)

Answer 1

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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