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Math Help - stat probability!! help me ~ = ]

  1. #1
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    Smile 1st year stat probability!! help me ~ = ] (only few qs)

    When mean=230 (avaerage people who arrived for their scheduled flights)
    s.d= 30
    the aircraft has seats for 305 passengers.

    a) What is the probability that a randomly selected flight has enough seas available for all the people who turn up?
    b)this flights goes everyday, During one year of operation, how many days, would you expect there to be more passengers than available seats? Justify ur anwser

    c)what proportion of flights are at least half empty?
    Last edited by sinyoungoh; August 27th 2008 at 09:46 PM.
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  2. #2
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    a) assuming normal distribution,
     P(X \leq 305) = P(Z  \leq {{305-230} \over 30 }) = P( Z \leq 2.5) = 1- 0.0062 = 0.9938

    b) 0.0062*365 = 2.265 = 3 (round up)

    c) assuming normal distribution,
     P( X \leq {305 \over 2}) = P( Z \leq {{152.5 - 230} \over 30} ) = P (Z \leq -2.58) = 0.0049


    Can someone pls verify.
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