Calculate the probability, Advanced Statistics

(a) A plane timetable states that a particular plane is due at 2pm but the actual arrival time isuniformly distributed between 1pm and 3pm.

(i) Calculate the probability that the plane arrives between 1:30pm and 2:10pm.

(ii) What arrival time can you be confident in stating that 95% of planes will arrive before?

iii)What percentage of flights arrive within one standard deviation of the mean arrival time?

(b) A cheese company produces a 500g packet of mozzarella cheese. If the packet weight is normally distributed with a mean of 505g and a standard deviation of 4g,

i) What percentage of packets are underweight ie. less than 500g?

(ii) What weight can the company guarantee its customers that 99% of mozzarella cheese packets weigh more than?

(iii) If the company wants to guarantee customers than only 1% of mozzarella packets of cheese are underweight, what mean weight should the company fill packets with, if the standard deviation remains unchanged at 4g?

(c) The number of employees absent from work at a large electronics manufacturing plant over a period of 106 days was given in Question 2 of Assignment 1. Decide whether the data appear to be approximately normally distributed by:

(i) Comparing data characteristics to theoretical properties.

(ii) Using PHStat2 to construct a normal probability plot.

(d) The owner of a self-service carwash has found that customers take an average of 12 minutes to wash and dry their cars. Assuming that the self-service times are exponentially distributed, what percentage of customers take less than 10 minutes?

Posted Date: 2/25/2013 4:36:42 AM | Location : United States







Related Discussions:- Calculate the probability, Assignment Help, Ask Question on Calculate the probability, Get Answer, Expert's Help, Calculate the probability Discussions

Write discussion on Calculate the probability
Your posts are moderated
Related Questions
difference between histogram and historigram

The graphical method for studying the behavior of the seasonal time series. In such a plot, the January values of seasonal component are graphed for the upcoming years, then the

The Current status data arise in the survival analysis if the observations are limited to the indicators of whether or not the event of interest has happened at the time the sample

Build-Rite construction has received favorable publicity from guest appearances on a public TV home improvement program. Public TV programming decisions seem to be unpredictable, s

Bonferroni correction : A procedure for guarding against the rise in the probability of a type I error when performing the multiple signi?cance tests. To maintain probability of a

The linear component ηi, de?ned just in the traditional way: η i = x' 1 A monotone differentiable link function g that describes how E(Yi) = µi is related to the linear compon

Group visible design is an arrangement of the v mn treatments in b blocks such that: * Each block comprises k distinct treatments k5v; * Each treatment is replicated r number



Committees to monitor the accumulating data from the clinical trials. Such committees have chief responsibilities for ensuring the continuing safety of the trial participants, rele