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Q1) A device has a constant failure rate of 0.7 /year.
(a) What is the probability that the device will fail during the second year of operation?
(b) If upon failure the device is immediately replaced, what is the probability that there will be more than one failure in 3 years of operation?
Q2) A servomechanism has an MTBF of 2000 hr. with a constant failure rate.
(a) What is the reliability for a 125-hr mission?
(b) Neglecting repair time, what is the probability that more than one failure will occur during a 125-hr mission?
(c) That more than two failures will occur during a 725-hr mission?
Let x be the random variable that denotes the net amount a playr wins by playing this lottery. Write the probablity distribution of x. Determine the mean and standard deviation of x. How will you interpret the values of the mean and standard devia..
The characteristics, however, are not independent of each other. Target values for each characteristic are specified. What is an appropriate control chart in this context?
A person born in 1964 is equally likely to live for any (not necessarily integer) number of years between 1 and 100. find the conditional probability P(T >80|T>50)
The manufacturer wants to draw a random sample and estimate the proportion of all defective disks. How large should the sample be to ensure that the standard deviation of the estimator is at most 0.03?
For each n, using the oo ? norm, compute the relative error and the relative residual. Discuss what is happening here. You may find it useful to look at the cond command in MATLAB.
Wackrow uses statistical data to point out that the probability of being killed by terrorist attacks is much lower than that of other causes of death.
signatures to a petition were collected on 676 sheets. each sheet has enough space for 42 signatures but on many sheets
A computer system uses passwords constructed from the 26 letters (a to z) or 10 integers (0 to 9). Suppose there are 10000 users on the system with unique passwords. A hacker randomly selects (with replacement) passwords from the potential set.
in a sample of 61 randomly seldom selected students 31 flavored the amount being budgeted for next years intramural and
What is the break-even cost? What is the profit for 75 units of feed sold? How many units must be sold to produce a profit of $1020?
Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents? Let p1 refer to the urban population.
a couple is getting married on june 20th at an outdoor ceremony. in recent years it has rained only 5 days in june.
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