Question

The company you work for has created a new device designed to take readings of atmospheric...

The company you work for has created a new device designed to take readings of atmospheric data. The device has 7 sensors which fail with a probability of 0.62. Use this information to answer the following questions.

What is the probability no more than 3 sensors fail?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

SOLUTION-

LET X BE THE NO OF SENSORS THAT FAIL.

PROBABILITY THAT A SENSOR WOULD FAIL(p) = 0.62

SAMPLE SIZE(n) =7

NOW, X ~ BINOMIAL, WITH PARAMETERS n=7 and p=0.62

PMF OF BINOMIAL DISTRIBUTION IS GIVEN AS,

P(X=x) =

TO FIND PROBABILITY THAT NO MORE THAN 3 SENSORS WOULD FAIL

=

=

=

=

**** IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTON, IF YOU LIKED IT.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The company you work for has created a new device designed to take readings of atmospheric...
The company you work for has created a new device designed to take readings of atmospheric data. The device has 7 sensors which fail with a probability of 0.62. Use this information to answer the following questions. What is the probability of 5 sensors failing?
You work for a software company has just created a new incentive for salespeople to earn...
You work for a software company has just created a new incentive for salespeople to earn a commission on each sale. The current program only allows for a fixed salary. The Chief Information Officer (CIO) has asked you to create a new program that allows the functionality for a fixed salary and commission. Write a Java® application, using NetBeans IDE, that calculates the total annual compensation of a salesperson. Consider the following: A salesperson will earn a fixed salary of...
A company has figured out how to manufacture a device that runs until one of its...
A company has figured out how to manufacture a device that runs until one of its three components fail. The lifetimes (in weeks), X1,X2,X3, of these components are independent and identically distributed with an exponential distribution with a mean of eight. Respond to the following questions. (a) What is the probability the device fails within 3 weeks? (b) A third company improves the product by enabling it to function as long as one of the components is still active. Assume...
A clinical trial tests a method designed to increase the probability of conceiving a girl. In...
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the​ study, 414 babies were​ born, and 213 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this​ method, the probability of a baby being a girl is greater than 0.5. Use this information to answer the following questions.
Ross has created a puzzle game that he believes will take 30 minutes for a player...
Ross has created a puzzle game that he believes will take 30 minutes for a player to complete. A week after the game's release, he collects data for a random sample of 20 players on how long they took to complete the game. These times, in minutes, are shown in the following table. Use Excel to test whether the mean time to complete the game is different from 30 minutes, and then draw a conclusion in the context of the...
Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of...
Suppose you work for Fender Guitar Company and you are responsible for testing the integrity of a new formulation of guitar strings. To perform your analysis, you randomly select 51 'high E' strings and put them into a machine that simulates string plucking thousands of times per minute. You record the number of plucks each string takes before failure and compile a dataset. You find that the average number of plucks is 6,398 with a standard deviation of 286.12. A...
Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states...
Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is more effective for women than for men. We want to collect data to show that the new drug is more effective for men. Let p1=proportion of all men who catch a cold , after taking the new drug p2=proportion of all women who catch a cold, after taking the new drug The null hypothesis states Ho: p1-p2=0 (or p1=p2, equivalently)...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 70 sample problems. The new algorithm completes the sample problems with a mean time of 18.56 hours. The current algorithm completes the sample problems with a mean time of 20.22 hours. Assume the population standard deviation for the new algorithm is 5.291 hours, while the current algorithm has a population standard deviation of 3.428 hours. Conduct a...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 49 sample problems. The new algorithm completes the sample problems with a mean time of 19.11 hours. The current algorithm completes the sample problems with a mean time of 21.00 hours. The standard deviation is found to be 5.896 hours for the new algorithm, and 3.674 hours for the current algorithm. Conduct a hypothesis test at the...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each...
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 44 sample problems. The new algorithm completes the sample problems with a mean time of 14.97 hours. The current algorithm completes the sample problems with a mean time of 17.81 hours. The standard deviation is found to be 4.448 hours for the new algorithm, and 3.520 hours for the current algorithm. Conduct a hypothesis test at the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT