Question

A coin is weighted so that it has a 70% chance of landing heads up when...

A coin is weighted so that it has a 70% chance of landing heads up when flipped. In a sequence of 10 independent flips, let X be the number of flips where the coin lands face up. What type of distribution does X have? Write the probability mass function for X. Find P(X = 6).

[use ti84 calculator]

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Answer #1

X ~ Bin (n,p)

Where n = 10 , p = 0.70

Probability ,ass function of X is

P(X) = nCx * pX * ( 1 - p)n-X

P(6) = 10C6 * 0.706 * 0.304

Using TI-84 ,

P(X = 6) = ?

Press 2nd VARS

scroll to binompdf(

[ The syntex is binompdf(n,p,x) ]

Press binompdf(10 , 0.70 , 6)

ENTER

0.2001

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