Question

Ne Show Scenario 1: Rainbow Canyon Lodge management recognized that there was an increase in the number of ro show people who make a reservation with the hotel but then don't show up during the past two years. They suspect that several hotels recently built in the area are causing this: When customers with reservations arrive at the canyon, some decide to stay at the newer hotels they see. Actual no- show records for a selected period of time are given in the table. Use this data to answer the questions that follow. Show your answers to at least three decimal places (for example, 0.217). 27. 01 1 2 0 .310 0.104 0.137 3 0 4+ What is the expected number of no-shows" 7 0+2 99 +30.107 2131017301 /17-yor .01.2012 16,54+ 10.30 28 0 _ What is the standard deviation of "no-shows? 1.044 Scenario 2: A Qualty Engineer randomly chooses 10 clutch assemblies from a recent shiament from the supplier. Experience indicates that on average 10% of the clutch assemblies fail to meet the specified requirements in some way. In each case below. show your answer to at least three decimal places (for example, 0.217). 29 0 What is the probability that the sample will contain no clutch assemblies that foto meet the requirements? 30 Doll What is the probability that the sample will contain exactly four clutch assembles that fail to meet the requirements?

could you please show me how to solve this using an hp 10bii+ financial claculator

Answer 1

27) Let x denote the number of no shows, then we have х 0 P(X) 0.359 0.31 0.194 0.137 3 Then E(X)= XP(X) = (0*0.359)+(1*0.310) +(2*0.194)+(3*0.137) = 1.109 E(X)= x?P(X)= (02*0.359)+(12*0.310)+(22*0.194)+(32*0.137) = 2.319 28) V(X)= E(X²)-(E(x )) = 2.319 – (1.109)2 =1.089 Standard deviation is V(X) = 1.043 29) Let X denote the number of items failed to meet specification among 10 items inspected then X follows binomial with parameters n= 10 and p = 0.10. The probability mass function of X is PCX = =) =)=*41–p)** PCX =0) ( ) (-0.1 - (094 = 0349 | 30) P(X = 4) = 0 (1-014 = 210 • 0.0001 + 0.531 = 0.011