<PRE><B>Question 1040525</B>
This problem requires the application of the  binomial probability distribution
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recheck the probabilities you have listed, they do not match with the values of n
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there are 7 values of n but only 6 probabilities but the 0.23 probability is suspect
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you need to sum the probabilities and calculate the mean and standard deviation
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standard error(SE) = sample standard deviation / square root(30)
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test statistic = (probability from list - sample mean) / SE
you will have 6 or 7 test statistics
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consult z-tables for the p-value corresponding to each test statistic
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for the second part, using a binomial calculator
P ( X = 20 ) = 0.0656374
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the probability in the choices is 0.069
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