The length (in centimeters) of a petal on a certain flower is a random variable with probability
Question:
The length (in centimeters) of a petal on a certain flower is a random variable with probability density function defined by
(a) Find the expected petal length.
(b) Find the standard deviation.
(c) Find the probability that a petal selected at random has a length more than 2 standard deviations above the mean.
(d) Find the median petal length.
Transcribed Image Text:
f(x) = 1 2√x for x in [1, 4].
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (4 reviews)
a b c The probability is 0 since two s...View the full answer
Answered By
Baiju T
I am working as an Associate Professor in the Department of Mathematics, Manipal Institute of Technology (MIT), Manipal University, Karnataka, India since July 2010. I have 17 years of teaching experience. I started my career as Lecturer in mathematics in May 2002. I am teaching Engineering Mathematics courses for the undergraduate programs (B.Tech) and postgraduate programs (M.Tech./ M.Sc. / MCA) and also teaching the course Operations Research for MBA programme.
Mathematics is the queen of science; in particular applied mathematics play an important role in our day today life. As an enthusiastic and experienced mathematics professor, I can assure that I can deliver and manage the mathematics course to the students of all the semesters. I have been teaching the same course for the last 11 years to the class of students usually consists of more than 70 members.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The length of a petal on a certain flower varies from 1 cm to 4 cm and has a probability density function defined by Find the probabilities that the length of a randomly selected petal will be as...
-
Let X be a random variable with probability density function (a) What is the value of c? (b) What is the cumulative distribution function of X? f(x) = otherwise 0
-
Let X be a random variable with probability density function (a) Obtain the lower bound given by Chebyshevs inequality for P{0.2 (b) Compute the exact probability, P{0.2 f(x630 (1-x), 0
-
If you invested $320 million into a project today, and achieved operating cash flows of $180million, $60 million, $50 million, $50 million, and $40 million, how would you measure the following: a....
-
The article Poll Finds Most Oppose Return to Draft, Wouldnt Encourage Children to Enlist (Associated Press, December 18, 2005) reports that in a random sample of 1000 American adults, 700 indicated...
-
An all-equity firm is considering the following projects: The T-bill rate is 4 percent, and the expected return on the market is 12 percent.a. Which projects have a higher expected return than the...
-
Is the line integral of the magnetic field along the closed path in Figure P28.36 positive, negative, or zero? The direction of integration is shown with arrows on the path. Data from Figure P28.36...
-
A study of the costs of electricity generation for a sample of 56 British firms in 19461947 yielded the following long-run cost function: AVC = 1.24 + .0033Q + .0000029Q2 .000046QZ .026Z + .00018Z2...
-
4. The atomic numbers of elements, U, V, W and X are 13, 14, 16 and 17 respectively. Which one of the elements will react with oxygen to form an ionic compound? (Atomic number of oxygen is 8) X A. B....
-
a. In Chapter 9, you created a Tic Tac Toe game in which you used a 2D array of characters to hold Xs and Os for a player and the computer. Now create a JPanel that uses an array of nine JButtons to...
-
A population of insects, y, living in a circular colony grows at a rate where t is time in weeks. If there were 60 insects initially, use Eulers method with h = 1 week to approximate the number of...
-
Find the particular solution for each initial value problem. (Some solutions may give y implicitly.) dy dx = x 6x; y(0) = 3
-
Explain the difference between 0 / 5 and 5 / 0.
-
What happens if the police illegally seize evidence in violation of the Fourth Amendment?
-
Kalan purchased four new tires at Walmart for $1,000 using there "no payments for 12 months plan." About a year later, before Kalan had made any payments, the tires were not performing as well as...
-
During Year 2, Walton Manufacturing Company incurred $60,000,000 of research and development (R&D) costs to create a long-life battery to use in computers. In accordance with FASB standards, the...
-
Question 1 of 2 Mary, a Conestoga college graduate from business fundamental program, joined as a Store Coordinator at Echo Sports Equipment (ESE) store, located in Kitchener. While studying, she...
-
16) Write the correct order of species abundance for primary succession. 17) Mosses, Lichens, Herbs, and Weeds are members of what stage of primary succession? 18) Pines, Spruces, Immature Oaks are...
-
Figure shows an engine valve driven by an overhead camshaft. The rocker arm pivots about the fixed point O and the inertia of the arm about this point is Ir. The valve mass is mv and the spring mass...
-
Subprime loans have higher loss rates than many other types of loans. Explain why lenders offer subprime loans. Describe the characteristics of the typical borrower in a subprime consumer loan.
-
The following table gives the life expectancy at birth of females born in the United States in various years from 1970 to 2005. 1. Find an equation for the least squares line for these data, using...
-
In Exercises 1524, find an equation in slope-intercept form for each line. Through (8, 1) with undefined slope
-
Mary Klingman invests $15,000 in an account paying 7% per year compounded annually. a. How many years are required for the compound amount to at least double? b. In how many years will the amount at...
-
Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 1 8 8 m in 3 . 0 s . The mass of the swallow was...
-
Question: expressing the vector A = 3i + 2j + kin terms of triad i'j'k'' where the x y - axis are rotated 45 around the Z-axis , with z and z-axis coinciding, as shown in figure below > referring to...
-
Below you are given data about a wave in three different substances. Medium Frequency Wavelength A 350 Hz 0.75 m B 350 Hz 0.70 m C 350 Hz 0.65 m Part 1: Based on the data above, is the period of a...
Study smarter with the SolutionInn App