SOLUTION: Edinburgh City Council is conducting a survey of people who live in the Morningside area of the city. The Council is seeking to find out the amount of money that each household spe

Question 806676: Edinburgh City Council is conducting a survey of people who live in the Morningside area of the city. The Council is seeking to find out the amount of money that each household spends on electricity bills every month, and offering money-saving tips to residents.
i. An interviewer will be sent out to fourteen private houses on weekday evenings over the course of
one week. The City Council has previous experience in this area and believes that there is a 75% chance of finding someone at home in the evening.
a. Whatistheprobabilitythatthereissomeoneathomein11houses?
b. Whatistheprobabilitythattherewillbesomeoneathomein5houses?
c. Whatistheprobabilitythattherewillbesomeoneathomein11ormorehouses?

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a)
n=14, x=11, p=.75 q=.25
14C11=364
364*p^11*q^3
=.240
.
b)
n=14, x=11, p=.75 q=.25
14C5=2002
2002*p^5*q^9
=.00181
.
c)
From a calculator at:
http://vassarstats.net/textbook/ch5apx.html
x=11 .2402
x=12 .1802
x=13 .0832
x=14 .0178
------------
====>.5213
.
Ed
RELATED QUESTIONS
a city council consists of seven democrats and six republicans. if a committee of six... (answered by robertb)

Of the nine city council members, four favour school vouchers and five are opposed. If a... (answered by Boreal)

A city council consists of six Democrats and five Republicans. If a committee of six... (answered by Boreal)

Suppose that the population in a small city is 39,000 in the beginning of 2012 and the... (answered by Theo)

The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005,... (answered by rfer)

The city of Auburn is hosting a 4th of July parade. The city council purchased enough... (answered by CubeyThePenguin)

There are 2,962,856 people who live in Wonder City, and 39.6 percent of them are... (answered by josmiceli)

At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and (answered by edjones)

The incidence of occupation at Lusaka city council (LCC) is such that the workmen have a (answered by solver91311)