Calculate the probability, Advanced Statistics

Assignment Help:

(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?


Related Discussions:- Calculate the probability

Describe multiple imputation, Multiple imputation : The Monte Carlo techniq...

Multiple imputation : The Monte Carlo technique in which missing values in the data set are replaced by m> 1 simulated versions, where m is usually small (say 3-10). Each of simula

Probability., 5. Packages from a machine a normally distributed with a mean...

5. Packages from a machine a normally distributed with a mean 200g and its standard deviation 2grams. Find the probability that a package from the machine weighs a) Less than

Product-limit estimator, Product-limit estimator is a method for estimatin...

Product-limit estimator is a method for estimating the survival functions for the set of survival times, some of which might be censored observations. The logic behind the procedu

Describe hello-goodbye effect., Hello-goodbye effect : The phenomenon initi...

Hello-goodbye effect : The phenomenon initially described in psychotherapy research, but one which might arise whenever a subject is assessed on two occasions, with some interventi

Regression analysis, with the help of regression analysis create a model th...

with the help of regression analysis create a model that best describes the situation. Indicate clearly the effect that each factors given in the attached file and other factors ma

Blinding, Blinding : A procedure used in clinical trials to get rid of the ...

Blinding : A procedure used in clinical trials to get rid of the possible bias which might be introduced if the patient and/or the doctor knew which treatment the patient is receiv

Estimating functions, The functions of the data and the parameters of inter...

The functions of the data and the parameters of interest which can be brought in use to conduct inference about the parameters when full distribution of the observations is unknown

Determine the optimal strategy for the breeder, Consider a decision faced b...

Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes. S

Unequal probability sampling, Unequal probability sampling is the sampling...

Unequal probability sampling is the sampling design in which the different sampling units in the population have different probabilities of being included in sample. The differing

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd