A3-Solutions-annotated

A3-Solutions-annotated - Stat 230 Assignment 3 - Solutions...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Stat 230 Assignment 3 - Solutions 1. In a trench in the Pacific Ocean, a particular species of mollusk is distributed according to a Poisson process with an unknown density of per cubic meter of water. A sensor is constructed that can detect a chemical emitted by any members of the species that are within 4 meters, and n readings from the sensor are collected over the course of a year to try to measure . You may assume that the readings are sufficiently separated that they are independent, so that the number of readings that detect a mollusk has the distribution X Bi( n,p ) for some unknown value of p . (a) After analyzing the data, it is determined that there was at least one mollusk in range for 700 out of 1000 readings, so p is estimated to be approximately . 70 . i. Express as a function of p . (Note: the water within 4 meters of the sen- sors forms a sphere with radius 4 meters. Your expression should involve the volume of this sphere.) ii. Estimate the average number of mollusks within range of the sensor at anyii....
View Full Document

Page1 / 7

A3-Solutions-annotated - Stat 230 Assignment 3 - Solutions...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online