Question

A computer has three mutually independent components: a CPU, a MONITOR, and a KEYBOARD. The probability...

A computer has three mutually independent components: a CPU, a MONITOR, and a KEYBOARD. The probability of failure within six years for these components is given as 0.50, 0.20, and 0.10 respectively. What is the probability that the computer is fully functioning.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Probability that CPU have not failed in 6 years = 1 - 0.5 = 0.5

Probability that MONITOR have not failed in 6 years = 1 - 0.2 = 0.8

Probability that KEYBOARD have not failed in 6 years = 1 - 0.1 = 0.9

Probability that the computer is fully functioning = probability of failure that none of the components failed

= Probability that CPU have not failed in 6 years * Probability that MONITOR have not failed in 6 years * Probability that KEYBOARD have not failed in 6 years

= 0.5 * 0.8 * 0.9

= 0.36

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
We have a system that has 2 independent components. Both components must function in order for...
We have a system that has 2 independent components. Both components must function in order for the system to function. The first component has 9 independent elements that each work with probability 0.92. If at least 6 of the elements are working then the first component will function. The second component has 6 independent elements that work with probability 0.85. If at least 4 of the elements are working then the second component will function. (a) What is the probability...
A human factors psychologist studied three novel computer keyboard designs. A sample of adults were given...
A human factors psychologist studied three novel computer keyboard designs. A sample of adults were given material to type on each keyboard, and the number of errors made by each participant was recorded for each type of keyboard. what test is this? Correlated groups t-test One-way between-Ss ANOVA Independent groups t-test One-way repeated measures ANOVA
please state in complete sentence A researcher studied three computer keyboard designs. Three samples of individuals...
please state in complete sentence A researcher studied three computer keyboard designs. Three samples of individuals were given material to type on a particular keyboard, and the number of errors committed by each participant was recorded. Are there significant differences in typing performance among the three keyboard designs? Keyboard A       Keyboard B        Keyboard C    0          6                       6    4          8       5    0      5                       9    1                           ...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A,...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.20; the probability of outcome B is 0.30; and the probability of outcome C is 0.50. Suppose there are 10 trials. (a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. No. A binomial...
A device has three components A, B and C such as A and B are “backupping”...
A device has three components A, B and C such as A and B are “backupping” each other: the device still works if A is failed or if B is failed, but it doesn’t work if both A and B are failed. Component C is crucial: if it is broken, then the device doesn’t work. During a certain period, the components A, B and C have probabilities 0.35, 0.40 and 0.20 to fail, correspondingly. Failures of the components are independent...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A,...
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.10; the probability of outcome B is 0.60; and the probability of outcome C is 0.30. Suppose there are 10 trials. (a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. No. A binomial...
A given phenomenon has three events A,B, and C whose probabilities are given as 0.32, 0.23,...
A given phenomenon has three events A,B, and C whose probabilities are given as 0.32, 0.23, and 0.11 respectively a. What are the values of P(A and B), P(B and C), and P(C and A) if all three events A, B, and C are mutually exclusive b. What are the values of P(A and B), P(B and C), and P(C and A) if all three events A, B, and C are independent of one another c. What are the values...
A room has three lightbulbs. Each one has a 10% probability of burning out within the...
A room has three lightbulbs. Each one has a 10% probability of burning out within the month. Write the probability as a percentage rounded to one decimal place. What is the probability that all three will burn out within the month? "If something can go wrong, it will go wrong." This funny saying is called Murphy's law. Let's interpret this to mean "If something can go wrong, there is a very high probability that it will eventually go wrong." Suppose...
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample 3    6 1    4    2 3 5    7 2 1    6 ​a) Calculate the total sum of squares​ (SST) and partition the SST into its two​ components, the sum of squares between​ (SSB) and the sum of squares within​ (SSW). b) Use these values to construct a​ one-way ANOVA table. ​c) Using α=0.10​, what conclusions can be made concerning...
A bank has developed a set of criteria for evaluating distressed credit of company. Companies that...
A bank has developed a set of criteria for evaluating distressed credit of company. Companies that passed the test will go bankrupt (non-survivor) with probability 0.4. There are 55% of the companies passed the test. The probability that a company did not pass the test will subsequently survive is 0.10 a. What is the probability that a random company will survive (not going to bankrupt)?      b. A random survived company is selected, what is the probability that company passed...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT