the probability that a house in an urban area will develop a leak is 3%. if 14 houses are randomly selected, what is the probability that none of the houses will develop a leak?

Question

15-11-2022
Mathematics

Answered

the probability that a house in an urban area will develop a leak is 3%. if 14 houses are randomly selected, what is the probability that none of the houses will develop a leak?

Answer :

Other Questions

The probability that the fourth marble amy picks is black is. If amy picks a black marble in the fourth attempt, the probability that in the fifth attempt she w

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (gpa), y. the given

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that h

A rectangular frame is placed around a water color painting. the width of the frame is consistent around the painting. the dimensions of the painting are 24 inc

The coordinates of the vertices of AABC are A(-2,4), B(-7,-1), and C(-3,-3). Prove that AABC is isosceles. State the coordinates of A4'B'C', the image of AABC,

Todd drives 2,365 miles in a month. His average mpg is 20. How much will he pay in gas if gas is $3. 12 per gallon?.

If all possible rearrangements of the word REVISIONS are sorted alphabetically, the n-th word is VISIONERS. What is the remainder when n is divided by 100?

How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hou

The following dot plot shows how many pets each customer owned before entering jeremy's pet store today. Each dot represents one customer. Based on this data, w

A mountain in jackson county is eroding and losing elevation at a rate of 5% every millennium. If the current elevation is 1,300 meters, how tall will the mount

BhawnaKumari BhawnaKumari · Answer 1 · 2022-11-17T12:15:55-05:00

There is a 0.6543 percent chance that no leak will ever appear in any of the homes.

What do you mean by random variable?
A random variable is a numerical representation of how a statistical experiment turned out. Discrete random variables can only take on a finite number of values or an infinite series of values, but continuous random variables can take on any value within a range on the real number line.

Let X represent the quantity of leak-prone homes in a city.

There is a 0.02 percent chance that a house in an urban location may experience a leak.

A sample of n = 21 homes is chosen at random.

Every home has a distinct chance of developing a leak.

As a result, the random variable X follows a binomial distribution with the parameters p = 0.02 and n = 21.

The likelihood that none of the homes will have a leak should be calculated as follows: The likelihood that none of the homes will experience a leak is therefore 0.6543.

To learn more about random variables from the given link

https://brainly.com/question/28021905

#SPJ4