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According to an​ airline, flights on a certain route are on time 85​% of the time....

According to an​ airline, flights on a certain route are on time 85​% of the time. Suppose 20 flights are randomly selected and the number of​ on-time flights is recorded. ​(a) Explain why this is a binomial experiment. ​(b) Find and interpret the probability that exactly 13 flights are on time. ​(c) Find and interpret the probability that fewer than 13 flights are on time. ​(d) Find and interpret the probability that at least 13 flights are on time. ​(e) Find and interpret the probability that between 11 and 13 ​flights, inclusive, are on time.

math   Statistics-And-Probability   
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Let x ke the unbon of en-time flights out of 2o flighlt Then X can take khe valves o, l, 2, 20 uwith centain pnoBabblities henes this is a Binewiol experiment indieating uw f on-time fligils 4) We count P(x 13) (B) (o.gs)13 (o.is) 20-13 (X-3) ~ o.oic Hence ㅑnol.lhat exactly /3 fligius one evi liwa 0.016 ie, in aSout 1.6% of tfu cases, exactly ,3 oul (( 20 flight.) are on time. we wank P (X<13) 1 3 085) (0.15 (p.is)s+ (77) (0.25) (o.is)1+10.gs) (o. Is)3 ナ (0.85)18 (o.is). ( 10. 85)19 (0.15), + (es) (0.35 1-o, 991 o.oo 6 =d) We toani P(x> (3)

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