(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

Ask an Expert

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

Write your message here..

Related Questions

Describe prior distribution, Prior distributions : The probability distribu... Prior distributions : The probability distributions which summarize the information about a random variable or parameter known or supposed at a given time instant, prior to attaini

Censored observations, Censored observations : An observation xi on some va... Censored observations : An observation xi on some variable of interest is consired to be censored if it is known that xi Li (left-censored)or xi Ui (right-censored) where Li and Ui

Forecast, The particular projection which an investigator believes is most ... The particular projection which an investigator believes is most likely to give an accurate prediction of the future value of some process. Commonly used in the context of the anal

Marginal matching, Marginal matching is the matching of the treatment grou... Marginal matching is the matching of the treatment groups in terms of means or other summary characteristics of matching variables. This has been shown to be almost as efficient a

Anova, a. Explain the meaning of the word non-orthogonal. b. What conditio... a. Explain the meaning of the word non-orthogonal. b. What condition(s) must exist for non-orthogonality to occur? Be specific.

Describe longini koopman model, Longini Koopman model : In epidemiology the... Longini Koopman model : In epidemiology the model for primary and secondary infection, based on the classification of the extra-binomial variation in an infection rate which might

Bayes factor, Bayes factor : A summary of evidence for the modelM1 against ... Bayes factor : A summary of evidence for the modelM1 against the another modelM0 provided by the set of data D, which can be used in the model selection. Given by the ratio of post

Probability, Modern hotels and certain establishments make use of an electr... Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the doo

Error rate estimation, The term used for the estimation of the misclassific... The term used for the estimation of the misclassification rate in the discriminant analysis. Number of techniques has been proposed for two-group situation, but the multiple-group

Tests for heteroscedasticity, Lagrange Multiplier (LM) test The Null Hy... Lagrange Multiplier (LM) test The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1