Hwk3SolnFinDrtSp06 - H ADM 201 Homework III Solution Spring...

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H ADM 201 Homework III Solution Spring 2006 Homework III Solution Question 1. Let X = number of seats fille don this flight; then X ~ B(402, .82) A) Probability Density Function Binomial with n = 402 and p = 0.82 x P( X = x ) 320 0.0231206 B) Cumulative Distribution Function Binomial with n = 402 and p = 0.82 x P( X <= x ) 320 0.118691 C) Cumulative Distribution Function Binomial with n = 402 and p = 0.82 x P( X <= x ) 250 0.0000000 P(x > 250) = 1 – CDF(25) = 1 - 0.0000 = 1 (Note: the probability really isn’t zero, it’s just zero rounded to seven decimal places. ) D) Inverse Cumulative Distribution Function Binomial with n = 402 and p = 0.82 x P( X <= x ) x P( X <= x ) 341 0.940705 342 0.955155 So there is no more than a five percent chance we will have 342 seats filled. E) Mean = nπ = 402 * 0.82 = 329.64 seats Variance = nπ (1-π) = 402 * 0.82 * 0.18 = 59.3352 seats 2 Standard Deviation = √59.3352 = 7.7029 seats Question 2. A) Target population: all season pass holders at the small resort Sampled population: all season pass holders at the small resort that ski on Sundays Sample: 120 season pass holders that were selected Parameter of Interest: μ = average number of times skied per season per pass holder
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H ADM 201 Homework III Solution Spring 2006 Statistic: = y mean number of times skied per season for the 120 person sample Subjective inference: necessary, because our sampled population is NOT the same as our target population; Sunday skiers may be different than skiers over the week as a whole. Subjective inference probably not valid: Sunday (or weekend) skiers more inclined to be people from out of town while weekday skiers are more prone to be locals. These two groups may very well ski at the resort different numbers of times per season (which is what you were interested in.) B) Target population: all customers of our airline Sampled population: all Dallas customers with frequent flier records (flew in the past year) Sample: 180 customers that were selected Parameter of Interest: μ = average number of flights taken per customer in the past year, considered over ALL customers Statistic: = y mean number of flights taken in the past year of the 180 sample people Subjective inference: Subjective inference is needed because our target population
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This homework help was uploaded on 02/19/2008 for the course H ADM 201 taught by Professor Rlloyd during the Spring '06 term at Cornell University (Engineering School).

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Hwk3SolnFinDrtSp06 - H ADM 201 Homework III Solution Spring...

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