Consider selecting a household at random in the rural area of a country. Define the random variable x to be x = number of individuals living in the selected household Based on information in an article, the probability distribution of x is as given below. x 1 2 3 4 5 6 7 8 10 p(x) 0.140 0.173 0.220 0.260 0.157 0.023 0.017 0.005 0.004 0.001 Calculate the mean value of the random variable x. Hx

A newspaper company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1830 customers. The data is summarized in the table below. Gender and Residence of Customers Residence Apartment Dorm With Parent(s) Sorority/Fraternity House Other Males Females 158 241 64 125 232 211 227 246 150 176 What is the probability that a customer is male? Express your answer as a fraction or a decimal number rounded to four decimal places. Copy Data

Let X be a B (10, 1/2) random variable. What is the probability that X = 5?

Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors.      Give answer as a decimal.   b) Find the probability of more than 4 Mexican-Americans among 12 jurors.     Give answer as a decimal.

A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LO

The probability distribution of random variable, X, is defined as follows: X 0 1 2 3 4 Probability 0 .3 .1 .3 .3 The P(X = 0) =?