Question

Let X have อ bnon ial distribution witn parameters n-25 and ρ Calculate each orthe following probabilities using the normal nation with the continuity correction to the cases ρ-0.5 0.6 and 0.8 and compare to the exact binomial probabilities calculated pro directly trarn the tarmula tar hn,p). (Round your answers ta tour decimal places.) (a) P(15X 20) P(15 s x s 20) P14.5 Normal 20.5) 0.S D.6 The nor nal approxim tion of p(15 s x s 20) for p-o 5 is 1 -Select : the exact prubability of P(15 S X S 20) for ρ = 0.5 The normal approximation om 155 x s 20) ror ß-0.5 isi-Seed-. : the exact probability of P(15 X 드 20) for ρ-06. The normal approximation of P(15 < X < ,0) trp-0.8 isl--Select-- , the exact probability at ati 5 < X < 20) tor ρ _ D.8. (b) P(XS 15》 Pix s 15) P(Normal 515.5) D.S D.6 The normal approximation of pls 15) for ρ = 0.5 isl - Select- , I the exact probability of pos 15) for ρ = 0.5. The normal approximation orRX 15) for ρ-0.6 is Select , the exact probability ofAX s 15) ror ρ-0.5. The normal approximation orp.'s 15) for ρ-0.8 isl-Selec- , l the exact probability or AXs 15) for ρ-0.3. (c) P(20SX) p P(20 sP[19.5 S Normal) 0.5 0.8 The nar mal approximation of P 2D& X for ρ-D.sis Saket the exact probability ofA2D SX for P-O.5. The normal approximation Dfe(20 for ρ = D.6 is!_scled- 7.1 the exact probability of P(20 X) for ρ = 0.6. The nurrnal approximation of p(20 X) for ρ-0.8 is l -Select- , l the exect probability orPi20 S X) for ρ-0.8. You may need to use the apprapriate table in the Appenx Tables to answer this queation.

Select: less than, greater than or equal to

Answer 1

o.21 o SA3 5438 .5954 1153 than o883 σ. 8849 d.0133 0.01RR eas Th& ss h Ce) 0.0020 3 0213 OCIGGQ 033 o. 598ㅋ 2