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Carry out a chi-squared test for the following table of frequencies of X ∼ Binomial(5,p) variates when (a) p = 0.3

x 0 1 2 3 4 5

Observed 162 346 303 149 36 4

frequency

Now I know how to carry out the chi-squared test once I have found the expected frequencies but the answers states that the frequencies are,

x 0 1 2 3 4 5

Exp(p = 0.3) 168.1 360.2 308.7 132.3 28.4 2.4

What formula did they use to calculate these frequencies?

Thanks

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# Chi-Squared Test on a table of Binomial Variates - Finding the expected frequencies

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