Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the number of oranges from Zanzibar among the 3 selected. (a) Calculate the total number of possible outcomes (b) Find the probability distribution of the random variable X. (c) Using the probability distribution, find the mean and variance of X.

Of the ten(10) oranges contained in a box, six(6) are from Zanzibar and four(4) are from Peshawar. Three(3) oranges are randomly selected from that box. Let X denote the number of oranges from Zanzibar among the 3 selected. (a) Calculate the total number of possible outcomes (b) Find the probability distribution of the random variable X. (c) Using the probability distribution, find the mean and variance of X.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Construct the probability distribution for the random variable X which pertains to the number of heads when you toss three coins at the same time.
FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is .3 and the ducks are considered to be independent.
Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is 0.3 and the ducks can be considered independent.
It is found that 35% of students from a local college plays for a sports team and 25% of students watches ESPN daily. Of those students who plays sports for a team, 55% of them watch ESPN daily. Find the probability(in percent) that a randomly chosen person from this college: watches ESPN daily and plays for a sports team. plays for a sports team given that they watch ESPN daily
The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 58 81 No 240 607 If two different pedestrian deaths are randomly selected, find the probability that they both involved drivers that were intoxicated.
Let random variable X be the number or heads showing in tossing 3 coins. Present the probability distribution(tabular) of the said random experiment.
there were 50 individuals selected. It was found out that 20% of the samples were fully vaccinated. Let C be the number of fully vaccinated individuals while C' be the individuals who are not fully vaccinated. Let the number of fully vaccinated individuals be random variable X. a random sample of 2 individuals were chosen for data collection. How many possible outcomes for the data collection to take place? and draw a tree diagram and place on a probability table for fully vaccinanted
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452
A shipment of 10 similar microcomputers to a retail outlet contains 4 that are defective. If a school makes a random purchase of 3 of these computers, find the probability distribution for the number of defectives.