Integer // Temp variable X: integer // Random integer between 1 and ‘n’ N:Interget // Size of array A Count: Integer // counts how many elements has been searched CheckedA:Array[1..n] // it will keep track of index that was already checked Function int Random-Search(A‚x) //Initialize variables For i := 1 to n CheckedA[i] = false N = A.Lenght // gets A length Count := 0 While (count < n) I := Random(1‚n) // uses the library function to get a a random integer between 1
Free Expected value Probability theory Random variable
90% of the time. For the next 10 products‚ the probability that he makes fewer than 2 incorrect inspections is 0.736. Answer Selected Answer: True Correct Answer: True Question 3 5 out of 5 points A continuous random variable may assume only integer values within a given interval. Answer Selected Answer: False Correct Answer: False Question 4 0 out of 5 points A decision tree is a diagram consisting of circles decision nodes‚ square
Premium Random variable Randomness Normal distribution
. . . . . . . . . . . . . . . . . . . . 1.1.4 A fundamental inequality . . . . . . . . . . . . . . . . 1.1.5 Maximizing entropy . . . . . . . . . . . . . . . . . . . 1.1.6 Joint entropy of two sources of information . . . . . . 1.1.7 Entropy for random vectors . . . . . . . . . . . . . . . 1.1.8 Uniquely-decodable codes‚ prefix-free codes and KraftMcMillan inequality . . . . . . . . . . . . . . . . . . . 1.1.9 Source coding theorem . . . . . . . . . . . . . . . . . . 1.1.10 Main plot and conclusions
Premium Information theory Random variable
(d) Legal risk (e) Systemic risk The range μ ± 2σx contains: (a) 68% of the values of a random variable X distributed N(μ‚σx) (b) 99% of the values of a random variable X distributed N(μ‚σx) (c) is equivalent to Prob. (-2σx ≤ Z ≤ 2σx) where Z is a random variable distributed N(μ‚σZ) (d) Is equivalent to Prob. (-2 ≤ Z ≤ 2) where Z is a random variable distributed N(0‚1) (e) None of the above. The risk that many borrowers in a particular foreign country fail to
Premium Random variable Investment Asset
Quantitative Methods BITS Pilani Pilani Campus Course handout BITS Pilani Pilani Campus Session-1 Instructor Details Dr. Remica Aggarwal 1214 C ; FD-1 Department of Management Email: remica_or@rediffmail.com Mobile: 09772054839 BITS Pilani‚ Pilani Campus Course Details • • • • • • • Management Science Use of QM/QA Modelling Techniques Data Analysis Techniques MS Excel QM for Windows Test BITS Pilani‚ Pilani Campus Quantitative Methods • • • • • • • Operations
Premium Random variable Normal distribution Statistical hypothesis testing
Test 2A 1. A variable X has a distribution which is described by the density curve shown below: What proportion of values of X fall between 1 and 6? (A) 0.550 (B) 0.575 (C) 0.600 (D) 0.625 (E) 0.650 2. Which of the following statements about a normal distribution is true? (A) The value of µ must always be positive. (B) The value of σ must always be positive. (C) The shape of a normal distribution depends on the value of µ. (D) The possible values of a standard normal variable range from −3
Premium Normal distribution Probability theory Standard deviation
| Basic math symbols Symbol | Symbol Name | Meaning / definition | Example | = | equals sign | equality | 5 = 2+3 | ≠ | not equal sign | inequality | 5 ≠ 4 | > | strict inequality | greater than | 5 > 4 | < | strict inequality | less than | 4 < 5 | ≥ | inequality | greater than or equal to | 5 ≥ 4 | ≤ | inequality | less than or equal to | 4 ≤ 5 | ( ) | parentheses | calculate expression inside first | 2 × (3+5) = 16 | [ ] | brackets | calculate expression inside first
Premium Normal distribution Probability theory Random variable
Probability Distribution Confidence Intervals Calculations for a set of variables Open the class survey results that were entered into the MINITAB worksheet. We want to calculate the mean for the 10 rolls of the die for each student in the class. Label the column next to die10 in the Worksheet with the word mean. Pull up Calc > Row Statistics and select the radio-button corresponding to Mean. For Input variables: enter all 10 rows of the die data. Go to the Store result in: and select the
Premium Statistics Normal distribution Random variable
1 of 25 Let X represent the amount of time it takes a student to park in the library parking lot at the university. If we know that the distribution of parking times can be modeled using an exponential distribution with a mean of 4 minutes‚ find the probability that it will take a randomly selected student more than 10 minutes to park in the library lot. | 0.917915 | | 0.670320 | | 0.329680 | | 0.082085 | 6 out of 6 Correct!! Question 2 of 25 On the average‚ 1.8 customers
Premium Random variable Probability theory Standard deviation
is E(Y|x = 4) (rounded to four decimal places)? 3. Undergraduates are asked to write a 300-word essay. The number of non-word (N) errors is a random variable that has the following distribution: n 0 1 2 P(n) 0.1 0.4 0.5 The number of word (W) errors is a random variable that has the following distribution: w 0 1 2 P(w) 0.2 0.6 0.2 Suppose the correlation between non-word errors and word errors is 0.5. What is the mean of the total number
Premium Random variable Variance Standard deviation