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
Models for the analysis of the survival times, or the time to event, data in which it is expected that a fraction of the subjects will not experience the event of interest. In a cl


Goodmanand kruskal measures of association is the measures of associations which are useful in the situation where two categorical variables cannot be supposed to be derived from

Meta-analysis is the collection of techniques whereby the results of two or more independent studies are statistically combined to yield the overall answer to a question of intere

Randomized encouragement trial   is the clinical trials in which the participants are encouraged to change their behaviour in a particular manner (or not, if they are allocated to

i will like to submit my project for you to do on chi-square, ANOVA, and correlation and simple regression. how can we do this?


facts and statistics about daycare

Two-phase sampling is the sampling scheme including two distinct phases, in the first of which the information about the particular variables of interest is collected on all the m

Generalized method of moments (gmm) is the estimation method popular in econometrics which generalizes the method of the moments estimator. Essentially same as what is known as the