Chapter 3 Probability Distributions 1. Based on recent records‚ the manager of a car painting center has determined the following probability distribution for the number of customers per day. Suppose the center has the capacity to serve two customers per day. |x |P(X = x) | |0 |0.05 | |1 |0.20 | |2 |0.30 | |3 |0.25 | |4 |0.15 | |5 |0.05 | a. What is the probability that one
Premium Random variable Normal distribution Arithmetic mean
70 Student ID: Student Section: Result: / 70 HCT Academic Honesty Policy Academic dishonesty will not be tolerated within the HCT. Academic dishonesty includes cheating‚ plagiarism (copying) or any other attempt to gain an academic advantage in a dishonest or unfair manner. Breaches of the Academic Honesty Policy will result in dismissal from HCT Project Objectives: To estimate the population parameters from sample statistics‚ using interval estimate (90%‚ 95% and 99% levels). The
Premium Statistics Null hypothesis Standard deviation
debts and liabilities the business accrues. There are lots advantages by being a sole trader. The first advantage is easy formation. The formation of sole proprietorship business is very easy and simple. No legal formalities are involved for setting up the business excepting a license or permission in certain cases. The entrepreneur with initiative and certain amount of capital can set up such form of business. Another advantage of sole proprietorship is flexibility in operations. The sole proprietorship
Premium Types of companies Legal entities Corporation
or statement is true or false. __F__ 1. Two events that are independent cannot be mutually exclusive. __F__ 2. A joint probability can have a value greater than 1. __F__ 3. The intersection of A and Ac is the entire sample space. __T__ 4. If 50 of 250 people contacted make a donation to the city symphony‚ then the relative frequency method assigns a probability of .2 to the outcome of making a donation. __T__ 5. An automobile dealership is waiting to take delivery of nine new cars
Premium Probability theory Conditional probability
t) P (X > s + t) P (X > t) e−λ(s+t) e−λt e−λs P (X > s) – Example: Suppose that the amount of time one spends in a bank is exponentially distributed with mean 10 minutes‚ λ = 1/10. What is the probability that a customer will spend more than 15 minutes in the bank? What is the probability that a customer will spend more than 15 minutes in the bank given that he is still in the bank after 10 minutes? Solution: P (X > 15) = e−15λ = e−3/2 = 0.22 P (X > 15|X > 10) = P (X > 5) = e−1/2 =
Premium Probability theory Poisson distribution
one. Answer: False Type: Concept Difficulty: Easy 2. For any normal random variable‚ the probability that the random variable will equal one is always zero. Answer: True Type: Concept Difficulty: Medium 3. The graph of a standard normal random variable is always symmetric. Answer: True Type: Concept Difficulty: Easy 4. The formula will convert any normal distribution into the “standard normal distribution.” Answer: True Type: Concept Difficulty:
Premium Normal distribution Standard deviation Probability theory
EXERCISES (Discrete Probability Distribution) EXERCISES (Discrete Probability Distribution) P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x 1. 2. 3. The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive. The probability that a log-on to the network is successful is 0.87. Ten users
Premium Binomial distribution Poisson distribution Probability theory
PROBABILITY QUESTIONS Q1). You draw a card at random from a standard deck of 52 cards. Neither you nor anyone else looked at the card you picked. You keep it face down. Your friend then picks a card at random from a remaining 51 cards. a) What is the probability that your card is ace of spades? 1/52 b) What is the probability that your friend’s card is ace of spades? (Hint: Construct the sample space for what your friend’s card can be.) 1/51 c) You turn over your card and it is 10 of
Premium Playing card Vocational education Higher education
Homework 3 Probability 1. As part of a Pick Your Prize promotion‚ a store invited customers to choose which of three prizes they’d like to win. They also kept track of respondents’ gender. The following contingency table shows the results: | MP3 Player | Camera | Bike | Total | Men | 62 | 117 | 60 | 239 | Woman | 101 | 130 | 30 | 261 | Total | 163 | 247 | 90 | 500 | What is the probability that: a. a randomly selected customer would pick the camera? 247/500= 0.494=
Premium Marketing Customer Customer service
NAME: SHU ZHAOHUI ID: 17329164 Q5. Descriptive Statistics | | N | Minimum | Maximum | Mean | Std. Deviation | Skewness | | Statistic | Statistic | Statistic | Statistic | Statistic | Statistic | Std. Error | Gasolinescore | 1000 | 3.00 | 21.00 | 14.9090 | 4.83654 | -.493 | .077 | Globalscore | 1000 | 3.00 | 21.00 | 17.0490 | 3.78774 | -1.073 | .077 | Valid N (listwise) | 1000 | | | | | | | The mean in the gaslinescore and globalscore stand for the average the respondents choose is
Premium Normal distribution Arithmetic mean Standard deviation