The life (in hours) of a certain kind of light bulb is a random variable with probability
Question:
The life (in hours) of a certain kind of light bulb is a random variable with probability density function defined by
(a) What is the expected life of such a bulb?
(b) Find σ.
(c) Find the probability that one of these bulbs lasts longer than 1 standard deviation above the mean.
(d) Find the median life of these bulbs.
Transcribed Image Text:
f(t) = 1 58 Vt for t in [1,900].
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 42% (7 reviews)
a b c d The median life ...View the full answer
Answered By
Gaurav Soni
Teaching was always an area where I can pursue my passion. I used to teach my friends and junior during my school and college life. After completing my professional qualification (chartered accountancy) and before joining my job, I also joined an organization for teaching and guidance to my juniors. I had also written some articles during my internship which later got published. apart from that, I have also given some presentations on certain amendments/complex issues in various forms.
Linkedin profile link:
https://www.linkedin.com/in/gaurav-soni-38067110a
5.00+
7+ Reviews
13+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The life in hours of a 75-watt light bulb is known to be normally distributed with = 25 hours. A random sample of 20 bulbs has a mean life of X = 1014 hours. (a) Construct a 95% two-sided confidence...
-
The length of a certain kind of Colorado brook trout is normally distributed with a mean of 12.5 inches and a standard deviation of 1.2 inches. What minimum size limit should the Department of...
-
The life X, in hours, of a certain kind of radio tube has a probability density function given by (a) What is the probability that a tube will survive 250 hours of operation? (b) Find the expected...
-
A machine was sold in December 20x3 for $13,000. It was purchased in January 20x1 for $19,000, and depreciation of $16,000 was recorded from the date of purchase through the date of disposal....
-
The true average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion is appropriate when testing H0: = 0.5 versus Ha: = 0.5 inch each of the following...
-
Suppose your company needs to raise $40 million and you want to issue 20-year bonds for this purpose. Assume the required return on your bond issue will be 5.7 percent, and youre evaluating two issue...
-
An electric current is uniformly distributed throughout a long, straight wire that has a diameter of \(50 \mathrm{~mm}\). If the current through the wire is \(6.0 \mathrm{~A}\), calculate the...
-
ERP software programs allow tighter linkages within a supply chain than were possible with earlier generations of software. Consider the possibility of a tighter link between the marketing and...
-
1. Identify the product which represents the solid state in the above reaction. a) Barium chloride b) Barium sulphate c) Sodium chloride d) Sodium sulphate 2. The colour of the solution observed...
-
Here are some diagnostic plots for the final exam data from Exercise 13. These were generated by a computer package and may look different from the plots generated by the packages you use. (In...
-
Solve the glucose level example (Example 4) using separation of variables. Example 4 Suppose glucose is infused into a patients bloodstream at a constant rate of a grams per minute. At the same time,...
-
One model of the quantity of health services performed (q) as a function of the proportion of health care services that an individual pays (p) is called the uniform induction hypothesis. Let 0 p 1...
-
A permanent magnet is shaped as a ring with a narrow gap between the poles. The mean diameter of the ring equals d = 20 cm. The width of the gap is equal to b = 2.0 mm and the magnetic induction in...
-
One of The Tax Museum's chief rivals, Fiscal Fossils, has two shareholders, Sarah and Jerry, each of whom own 50 percent of the outstanding stock. Fiscal Fossils has the following assets and faces a...
-
B.4 Uniformly charged rod near a metal surface. An infinite, thin, uniformly charged rod (line charge density A) is placed parallel to a horizontal grounded metal plate a distance d above it. Point M...
-
What habit would your "best self" have that you currently don't? What is keeping you from having this habit? What do you need to do to acquire this habit?
-
A plane begins its travel at OMath airport travelling at a speed of [$30E] at a speed of 400 km/h for 1.5 hours then travels south for 2 hours at a speed of 250 km/h then heads back to OMath airport...
-
Case ID 1 2 1 2 3 3 4 1 1 I 2 3 2 2 4 4 4 4 3 3 3 3 2. Task Label Create Fine Create Fine Send Bill Send Bill Create Fine Send Bill Create Fine Send Bill Process Payment Close Case Send Reminder Send...
-
In the system shown in Figure, the input is the displacement y and the output is the displacement x of the mass m. The equilibrium position corresponds to x = y = 0. Neglect any friction between the...
-
On 1 July 2021, Croydon Ltd leased ten excavators for five years from Machines4U Ltd. The excavators are expected to have an economic life of 6 years, after which time they will have an expected...
-
Simplify each expression by removing as many factors as possible from under the radical. Assume that all variables represent positive real numbers. 3 125
-
From 2001 to 2007, the number of stations carrying news/talk radio increased at a roughly linear rate, from 1139 in 2001 to 1370 in 2007. a. Find a linear equation expressing the number of stations...
-
In 1950, there were 249,187 immigrants admitted to the United States. In 2008, the number was 1,107,126. a. Assuming that the change in immigration is linear, write an equation expressing the number...
-
Find the derivative of the function. f (u) = u2+10 f '(u) =
-
1. State Green's Theorem. 2. Give an example of a vector field F and a curve C for which Green's Theorem can be applied to the integral dr, and explain why the theorem applies.
-
Find the value of C for which the tangent line to the graph of the function f()=2 at the point (0,2) is the same as the tangent line to the curve (z+1)+(y-3)=2 at the same point. Justify your answer.
Study smarter with the SolutionInn App