Probability Distribution Essay Example Suppose you flip a coin two times. This simple statistical experiment can have four possible outcomes: HH‚ HT‚ TH‚ and TT. Now‚ let the random variable X represent the number of Heads that result from this experiment. The random variable X can only take on the values 0‚ 1‚ or 2‚ so it is a discrete random variable Binomial Probability Function: it is a discrete distribution. The distribution is done when the results are not ranged along a wide range‚ but are
Premium Random variable Probability theory
The Collier Encyclopedia’s definition for probability is the concern for events that are not certain and the reasonableness of one expectation over another. These expectations are usually based on some facts about past events or what is known as statistics. Collier describes statistics to be the science of the classification and manipulation of data in order to draw inferences. Inferences here can be read to mean expectations‚ leading to the conclusion that the two go hand in hand in accomplishing
Premium Forecasting Future Decision theory
Probability Distribution Memo To: Howard Gray‚ CEO; Jean Dubois‚ VP Mechanical Watch Division; Uma Gardner‚ VP Production; Amanda Hamilton‚ VP Marketing After identifying the business problem of falling sales and an increase in rejections by the Swiss Official Chronometer Control‚ conducting a study for research will prove to identify a solution. Researchers performed a study of a sample population of 500 people. The study reveals 60% of the watches purchased are certified and the average
Premium Watch Sample size Sample
new Household appliance to potential customers. She has found from her years of experience that after demonstration‚ the probability of purchase (long run average) is 0.30. To perform satisfactory on the job‚ the salesperson needs at least four orders this week. If she performs 15 demonstrations this week‚ what is the probability of her being satisfactory? What is the probability of between 4 and 8 (inclusive) orders? Solution p=0.30 q=0.70 n=15 k=4 [pic] Using Megastat we get
Premium Sales Binomial distribution
14. If x has the probability distribution f(x) = 12x for x = 1‚2‚3‚…‚ show that E(2X) does not exist. This is famous Petersburg paradox‚ according to which a player’s expectation is infinite (does not exist) if he is to receive 2x dollars when‚ in a series of flips of a balanced coin‚ the first head appears on the xth flip. 17. The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a random variable having the probability distribution f(x) = 16 for x =
Premium Random variable Expected value Probability theory
Overview | | | |The Process of Quantitative Modeling | | | |Review of Probability Concepts
Premium Operations research Decision theory Scientific method
M227 Chapter 1 Nature of Probability and Statistics OBJECTIVES Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Identify types of data. Identify the measurement level for each variable. Identify the four basic sampling techniques. Explain the difference between an observational and an experimental study. Explain how statistics can be used and misused. Explain the importance of computers and calculators in statistics. Statistics is the science
Premium Scientific method Statistics
A FICO score is the credit score mathematically developed by the company FICO. It shows potential lenders the risk that they are taking lending to you. The score is on a range starting at 300 and ending at 850; the higher your credit score‚ the probability that you will be lent to‚ increases. The score itself is determined from credit reports that disclose the individual’s history of financial activity. Their gender‚ race‚ religion‚ nor age play a role. From most influential to least‚ it is composed
Premium Generally Accepted Accounting Principles Balance sheet Revenue
Statistics Chapter 5 Some Important Discrete Probability Distributions 5-1 Chapter Goals After completing this chapter‚ you should be able to: Interpret the mean and standard deviation for a discrete probability distribution Explain covariance and its application in finance Use the binomial probability distribution to find probabilities Describe when to apply the binomial distribution Use Poisson discrete probability distributions to find probabilities 5-2 Definitions Random Variables A
Premium Random variable Probability theory Binomial distribution
results from 100 strands are as follows: High conductivity Low conductivity Strength High Low 74 8 15 3 (a) If a strand is randomly selected‚ what is the probability that its conductivity is high and its strength is high? P (High conductivity and high strength)= 74/100 =0.74 (b) If a strand is randomly selected‚ what is the probability that its conductivity is low or its strength is low? P (Low strength or low conductivity) = P(Low conductivity) + P(Low strength) – P(Low conductivity and low
Premium Natural gas Leak