Let X have a binomial distribution with parameters n-25 and p. Calculate each of
ID: 3055841 • Letter: L
Question
Let X have a binomial distribution with parameters n-25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = 0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x,n,p). (Round your answers to four decimal places.) (a) P(15 SX s 20) s Normal S 20.5) 2 0.2112 0.60.5763 0.5684 0.8 50.57380.5957 0.5 10.21 17 10.5684 | the The normal approximation of P 15 SX 20) for p=0.5is lessthan the exact probability ofPLL5SXS20 forp=0.5 The normal approximation of P(15 s X s 20) for p 0.6 isess thnthe exact probability of P(15 s X s 20) for p 0.6 The normal approximation of P(155 X 20) for p = 0.8 is greater than $ ) v, the exact probability of P(15 X 20) for = 0.8 p.0..6 is [8@t the exact probability of PassXS 20) for,. 0.5 The normal approximation of Prus s 's20an3)Explanation / Answer
here as they are rounding till 4th digit; there fore due due to rounding error it should be 0.5737
(please revert)
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