1.a．Mnually calculate the mean‚ median‚ and mode or modes for the following samples: (i) 7‚ 4‚ 6‚ 2‚ 6‚ 7‚ 3‚ 5 (ii) 0‚ -3‚ 5‚ -2‚ -6‚ 4‚ 7‚ 9‚ 4‚ -3‚ 0‚ 2 b. The number of days for which each of 15 office workers of a firm was absent during a one-month period is as sfollows: 0‚ 1‚ 1‚ 3‚ 0‚ 0‚ 2‚ 5‚ 0‚ 1‚ 1‚ 2‚ 0‚ 1‚ 1 Calculate the interquartile range‚ variance and standard deviation of the number of days absent. 2. The number of hours a student spent studying for
Premium Arithmetic mean Standard deviation Mode
following probability distribution. The squad is on duty 24 hours per day‚ 7 days per week: Time Between Emergency Calls (hr.) Probability 1 0.05 2 0.10 3 0.30 4 0.30 5 0.20 6 0.05 1.00 a. Simulate the emergency calls for 3 days (note that this will require a “running”‚ or cumulative‚ hourly clock)‚ using the random number table. b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution
Premium Randomness Random variable Cumulative distribution function
which deals with the method of collecting‚ classifying‚ presenting‚ comparing and interpreting the numerical data to throw light on enquiry”. – Seligman Prof. Boddington‚ on the other hand‚ defined Statistics as “The science of estimates and probabilities”2. This definition is not complete. According to Croxton and Cowden‚ “Statistics is the science of collection‚ presentation‚ analysis and interpretation of numerical data from logical analysis”3. Function of statistics: Statistics is used for
Premium Statistics Statistical hypothesis testing Normal distribution
Monthly Earnings (X) = Monthly Revenue (P*Q) – Monthly Expense (F+V+L) =P*Q – (3995+L+11*Q) There are three variables in this equation‚ with the assumption; this model is realistic enough‚ if I was Sanjay‚ I will consider what the shape of the probability distribution of X is‚ and the measurement of this distribution to make risk analysis. a). Without considering the partnership opportunity‚ to solve the case‚ we run a Crystal Ball simulation with 1000 trials. The assumption variables are P‚ Q‚
Premium Normal distribution Random variable Standard deviation
Economic growth Probability With Expansion Without Expansion High 0.20 S$ 65 million S$55 million Normal 0.55 S$ 8 million S$ 8 million Low 0.25 S$ 34 million S$ 30 million 1. What is the expected value of the Company with and without expansion? a b a x b Probability Without Expansion 0.20 S$55 million S$ 11 million 0.55 S$ 8 million S$ 4.4 million 0.25 S$ 30 million S$ 7.5 million S$ 22.9 million a b a x b Probability With Expansion 0.20 S$ 65 million S$ 13 million
Premium Finance Stock Stock market
Homework 4.3 #21 43% of adults in the US receive fewer than 5 phone calls a day. In a random sample of 7 adults‚ what is the probability that the number receiving fewer than five calls a day is (a) exactly 3 (b) at least 3 (c) more than 3? n p 7 0.43 x P(Exactly x) P(At most x) P(At least x) 0 0.0195 0.0195 1.0000 1 0.1032 0.1228 0.9805 2 0.2336 0.3564 0.8772 3 0.2937 0.6502 0.6436 4 0.2216 0.8718 0.3498 5 0.1003 0.9721 0.1282 6 0.0252 0.9973 0.0279 7 0.0027 1.0000 0.0027
Premium Standard deviation Normal distribution Probability theory
unlike the other methods of data collection‚ sampling involves choosing a method of sampling which further influences the data that you will result with. There are two major categories in sampling: probability and non-probability sampling. Two types of Sampling techniques Probability Sampling Under probability sampling‚ for
Premium Sampling Stratified sampling Cluster sampling
insurance because the projection leaves a negative $17‚500.00. © ITT Educational Services Page 1 NT2580: Unit 6 Quantitative and Qualitative Risk Assessment Analysis Qualitative Risk Assessment Probability: The likelihood that a threat will exploit a vulnerability. Probability can use a
Premium Risk assessment Risk Risk management
INTRODUCTION TO NORMAL DISTRIBUTIONS The normal distribution is the most important and most widely used distribution in statistics. It is sometimes called the "bell curve‚" although the tonal qualities of such a bell would be less than pleasing. It is also called the "Gaussian curve" after the mathematician Karl Friedrich Gauss. As you will see in the section on the history of the normal distribution‚ although Gauss played an important role in its history‚ Abraham de Moivre first discovered the
Premium Normal distribution
M2 Group Assignment Instructions Complete the Assignment‚ name it as GroupXX_Assign2.xls (where XX is your Group Name)‚ and upload and submit to the instructor through Dropbox. Do not enter anything in the spreadsheet cells that are black‚ labeled “Grader”. You must complete this assignment without the assistance of persons other than the members of your Group. You may use any other resources you deem necessary. Answer the questions below by placing the appropriate graph and/or answers in the designated
Premium Normal distribution Random variable Probability theory