Ask Question, Ask an Expert


Ask Statistics and Probability Expert

problem 1) describe the determination of number of classes, class width and construction of frequency distribution to one-dimensional data.

problem 2) find out median to the following data:

Class:          0-5    5-10    10-15    15-20    20-25
Frequency:     3      16         25         18         5

problem 3) What do you mean by scatter diagram? Describe its uses.

problem 4) Compute the co-efficient of correlation to the given data using Spearman’s formula:

Rank given by Judge – 1 :    3    2    6    5    1    4
Rank given by Judge – 2 :    4    3    1    6    2    5

problem 5) If, for the events A and B, P(A) = 0.2, P(B) = 0.3 and P(A∩B) = 0.09, compute P(A∪B) and using which determine P(A∩BC).

problem 6) describe binomial distribution and describe its properties.

problem 7) Describe the terms sampling distribution and standard error with suitable ex.

problem 8) How do you test the significance of hypothetical value of a population proportion? describe.

problem 9)a) Draw frequency polygon to the given data:

Profit (in lakh Rs.)    0-10    10-20    20-30    30-40    40-50    50-60
No. of Firms               5        12          20        16           5          2

b) Investigate the skewness property of the following data.

Age (in years):      Below 20    20-25    25-30    30-35    35-40
No. of Employees:    34             78         100        56        22

problem 10)a) Fit a regression line of Y and X using the following data:

x:    23    20    19    21    18    20    17    19
y:    24    19    22    18    20    22    20    17

b) Find out the strength of relationship between x and y from the following data using the co-efficient of determination:

x:    15    20    28    12    40    60    20    80
y:    40    30    50    30    20    10    30    60

problem 11)a) (i) Define Bayes theorem.

(ii) In a bolt factory, machines A,B and C manufacture respectively 32%, 58% and 10%  of the total production of the total output of each machine, 5%, 4% and 2% are defective bolts. A bolt is drawn randomly and is found to be defective. Determine the probability that it was manufactured by Machine A?

b) Fit a Poisson distribution to the following data:

x (Value)          :    0      1      2    3    4   
f (Frequency)    :    21    18    7    3    1

problem 12)a) Describe the terms with an illustration: sample, parameter, simple hypothesis, composite hypothesis and two kinds of errors.

b) Describe hypothesis testing problem.

problem 13)a) describe the method of testing the hypothetical value of the mean of a normal population using a small sample. Assume that the population variance is unknown. Applying the procedure test whether the mean of a normal population is 14 at 5% level of significance using the sample drawn from the population:

11    14    13    12    13    12    13    14    11    12

b) From the following data, test whether there is any relationship between sex and preference of colour:

Male    Female
Red    20    30
Blue    60    40
Black    10    20

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M97502

Have any Question? 

Related Questions in Statistics and Probability

Section a creating visual displays of datafor this portion

Section A. Creating Visual Displays of Data. For this portion of the activity, you will export output you created while working in SPSS for Chapter 4 into a Word document. Please read the instructions below to ensure you ...

Research project - project title - an investigation into

Research Project - Project Title - An investigation into the under-filling of tuna cans and the demand for a new product. Cans are airtight containers which preserve processed food. These are mostly easy to cook food ite ...

Statistics antpsysoc 235 - dr kaeochindaassignment 1 focus

Statistics (ANT/PSY/SOC 235) - Dr. Kaeochinda Assignment 1 (Focus: Chapter 2, Scaling and Scales of Measurements) A small portion of every assignment will be completed using SPSS (version 21) that is available in every c ...

Suppose a process can be considered to be in one of two

Suppose a process can be considered to be in one of two states (let's call them state A and state B), but the next state of the process depends not only on the current state but also on the previous state as well. We can ...

A three-dimensional vector random variable x has a

A three-dimensional vector random variable, X, has a covariance matrix of Find a transformation matrix A such that the new random variable   Will be uncorrelated.

Consider two discrete random variables and which take on

Consider two discrete random variables and which take on values from the set {1,2,3,....,k}. Suppose we construct an n*n matrix P whose elements comprise the joint PMF of the two random variables. That is, I is the eleme ...

A discrete random process x n is generated by repeated

A discrete random process X [n] is generated by repeated tosses of a coin. Let the occurrence of a head be denoted by 1 and that of a tail by - 1. A new discrete random process is generated by   for n odd (either positiv ...

The average number of cars per hour arriving at a toll

The average number of cars per hour arriving at a toll booth is 57 while the standard deviation is 15. (a) Use Markov's inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour. ...

Prove that all odd central moments of a gaussian random

Prove that all odd central moments of a Gaussian random variable are equal to zero. Furthermore, develop an expression for all even central moments of a Gaussian random variable.

Two zero-mean discrete random processesnbspnbspare

Two zero-mean discrete random processes   are statistically independent and have autocorrelation functions given by   and   Let a new random process   (a) Find  Plot all three autocorrelation functions. (b) Determine all ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate