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?
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...
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...
New-Project Analysis The president of the company you work for has asked you to evaluate the...
New-Project Analysis The president of the company you work for has asked you to evaluate the proposed acquisition of a new chromatograph for the firm’s R&D department The equipment's basic price is $170,000, and it would cost another $25,500 to modify it for special use by your firm. The chromatograph, which falls into the MACRS 3-year class, would be sold after 3 years for $76,500. Use of the equipment would require an increase in net working capital (spare parts inventory)...
New-Project Analysis The president of the company you work for has asked you to evaluate the...
New-Project Analysis The president of the company you work for has asked you to evaluate the proposed acquisition of a new chromatograph for the firm’s R&D department The equipment's basic price is $170,000, and it would cost another $25,500 to modify it for special use by your firm. The chromatograph, which falls into the MACRS 3-year class, would be sold after 3 years for $76,500. Use of the equipment would require an increase in net working capital (spare parts inventory)...
New-Project Analysis The president of the company you work for has asked you to evaluate the...
New-Project Analysis The president of the company you work for has asked you to evaluate the proposed acquisition of a new chromatograph for the firm’s R&D department. The equipment's basic price is $120,000, and it would cost another $18,000 to modify it for special use by your firm. The chromatograph, which falls into the MACRS 3-year class, would be sold after 3 years for $54,000. The MACRS rates for the first 3 years are 0.3333, 0.4445 and 0.1481. Use of...
New-Project Analysis The president of the company you work for has asked you to evaluate the...
New-Project Analysis The president of the company you work for has asked you to evaluate the proposed acquisition of a new chromatograph for the firm’s R&D department. The equipment's basic price is $60,000, and it would cost another $15,000 to modify it for special use by your firm. The chromatograph, which falls into the MACRS 3-year class, would be sold after 3 years for $27,000. The MACRS rates for the first three years are 0.3333, 0.4445, and 0.1481. Use of...
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 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)...
You work for a pharmaceutical company that has developed a new drug. The patent on the...
You work for a pharmaceutical company that has developed a new drug. The patent on the drug will last 1717 years. You expect that the​ drug's profits will be $ 4$4 million in its first year and that this amount will grow at a rate of 5 %5% per year for the next 1717 years. Once the patent​ expires, other pharmaceutical companies will be able to produce the same drug and competition will likely drive profits to zero. What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT