Practice with probability and statistics - Feel free to use a calculator (or spreadsheet) to add/divide/etc,...
Practice with probability and statistics - Feel free to use a calculator (or spreadsheet) to add/divide/etc, but please don't use any built-in statistical functions. 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 7,8,s A. What is the probability that an object chosen at random from this box has length 2 cm? B. What is the average length of the (L) (also called the expectation value of length) of the objects? C. What is the probability that an...
Examination in probability theory and statistics Variant 9 1. Discrete distribution for X is given by the following table: Probability p ValueX Find distribution function fa) and median Me(0). Calculate mathematical expectation (the mean) M(x), 0.3 -10 0.4 10 0.2 20 0.1 40 variance (dispersion) Da, standard error ơ(X), asymmetry coefficient As(X) and excess Ex(X). 2. Calculate multiplier k. Find mode Mots, median Me(o), mathematical expectation (the mean) Mc) variance (dispersion) D(x) and standard error σ(x) for continuous distributions having...
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...
Find the probability and interpret the results. If convenient, use technology to find the probability. During a certain week the mean price of gasoline was $2.702 per gallon. A random sample of 35 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $2.689 and $2.716 that week? Assume ơ $0.045 EEB Click the icon to view page 1 of the standard normal table EEB Click the icon to view...
5. North Carolina State University posts the complete grade distributions for its courses online. The distribution of grades for all students in all sections of Accounting 210 in the spring semester of 2001 was Grade Probability .18 32 34 09 07 a. Using the scale A -4, B-3, C-2, D- 1, and F 0, let Xbe the grade of a randomly chosen b. Let X denote the mean grade for a random sample of 50 students from Accounting 210. Since...
The next few questions give you the chance to use the Lens Equation that relates the object distance, Xo, image distance, Xi, and focal length of a lens, F, by: This equation comes from considering the ratio of side lengths of various triangles that are formed in ray diagrams of the type that you have been doing for the last week. There are a few rules you need to follow to play the game and to understand the results. Here...
Experiment 22: The Compound Microscope f2 Object 2 1 (Objective Lens)d L, (Eyepiece) d#150mm The Compound Microscope A compound microscope uses two lenses to provide greater magnification of near objects than is possible using a single lens as a magnifier. The setup is shown above. The objective lens, L1, functions as a projector. The object is placed just beyond the focal point of L1 so a real, magnified, inverted image is formed. The eyepiece, L2, functions as a magnifier. It...
Let X be normally distributed with mean 100 cm and standard deviation 5 cm. (a) On the diagram below, shade the region representing P(X > 105). (2) (b) Given that P(X < d) = P(X > 105), find the value of d. (2) (c) Given that P(X > 105) = 0.16 (correct to two significant figures), find P(d < X < 105). (2) (Total 6 marks) 2. A test has five questions. To pass the test, at least three of...
Question Help the l Complete parts (a) through (f) below (a) What is the probability that a randomly selected pregnancy lasts less than 144 days? The probability that a randomly selected pregnancy lasts less than 144 days is approximately(Round to four decimal places as needed.) Interpret this plobability, Select the correct choice below and filli the answer box within your choice. (Round to the nearest integer as needed.) OA if 100 pregnant indi duals were selected independentyfrom this population, we...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics for Business What is the probability that it takes more than 2.5 minutes to service a customer at the drive-through lane? b. a. What percent of customers at the drive-through lane will take between 1 to 3 minutes to service? Part B 1. A simple random sample of 50 customers...