E(X) = 0(0.15) + 1(0.20) + 2(0.30) + 3(0.10) + 4(0.20) + 5(0.05) = 2.15
E(X2) = 02(0.15) + 12(0.20) + 22(0.30) + 32(0.10) + 42(0.20) + 52(0.05) = 6.75
Hence,
Standard deviation = = 1.46
Option D is correct.
18) The number of cartoons watched on Saturday mornings by students in Mrs. Kelly's first grade...
The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning along with the percentages of the class who watched the number of cartoons is shown below. X 0 1 2 3 4 5 P(X) .1 .2 .25 .3 .1 .05 Answer both of the following: A. Find the mean of the probability distribution. B. Find the standard deviation of the probability distribution.
Let X denote the number of times a photocopy machine will malfunction: 0,1,2, or 3 times, on any given month. Let Y denote the number of times a technician is called onan emergency call. The joint p.m.f. p(x,y) is presented in the table below: y\. 0 1 2 3 0 0.15 0.30 0.05 0 1 0.05 0.15 0.05 0.05 2 0 0.05 0.10 0.05 Px(2) 0.20 0.50 0.20 0.10 py(y) 0.50 0.30 0.20 1.00 (a) Find the probability distribution of...
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...
Need to show work 10. Let X -number of books purchased by students at your school during a given academic term. The probability distribution for X is given in the following table. X- number of books2 3 4 5 67 Probability 0.05 0.10 020 035 0.10 0.15 0.05 (a) A student is randomly chosen from the student population. What is the probability that the student purchased five or more books during the current academic term? Answer: 0.3 (b) What is...
edonia CNC * Assignment MATH 342 Biostatistics File C/Users/kaurm58/Downloads/Math%20157%20-%20Assignment%202%20.pdf Assignment 2 Question 3 Roth is a computer-consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below. Probability Number of New Clients 0 2 0.05 0.10 0.15 0.30 0.25 0.10 0.05 a. Calculate the expected value of X b. Calculate the variance standard deviation of Question 4 At Stephenson...
6. Let X and Y denote the number of times Harry Potter and Ron Weasley manage to irritate Professor Snape in one day, respectively. Suppose that X and Y have the following joint probability distribution: x у 0 2 در 4 0 0.15 0.10 0.05 0 0 0.10 0.10 0.20 0.10 0 2 0 0 0.05 0.10 0.05 Px(x) 0.25 0.20 0.30 0.20 0.05 Recall Homework 4: E(X)= 1.6, SD(X)= 1.2. f) Find the probability that Harry Potter irritates Professor...
A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are rare but dangerous. Many tsunamis are small and do little damage. However, a tsunami nine meters or higher is very dangerous Civil Defense authorities sound an alarm telling people near the beach to go to higher ground. About 30% of all recorded tsunamis have been nne meters or higher t You are writing a report...
1. The following is the probability distribution of the number of customers buying bicycle accessories at a particular shop in one day. 1 4 X P(X = x) 0 0.05 2 0.15 3 0.25 5 0.30 6 0.05 0.10 a (a) (b) (c) Compute the value of a. Find the probability that the shop did not sell any bicycle accessory in one day. Find the probability that at least three customers bought from the shop in one day. Find the...
AP-Stats-2005-Q2 2. Let the random variable X represent the number of telephone lines in use by the technical support center of a manufacturer at noon each day. The probability distribution of X is shown in the table below P(x) 0.35 0.20 0.15 0.15 0.10 0.05 ) Suppose you come by every day at noon to see how many lines are in use. What are the chances that you don't find all 5 in use until your 7" visit? ) Find...
Fifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution. 1 0.15 2 0.30 3 0.20 4 0.10 5 0.05 P(x) 0.20 Send data to Excel Part 1 of 7 (a) Find P(5). P(5) = 0 Part 2 of 7 (b) Find P(No less than 4). P(No less than 4) = Part 3 of 7 (c) Find the probability that no one is in line....