4. A certain brand of upright freezer is available in three different rated capacities: 16 ft3 ,18ft3, and 20ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf: X 16 18 20 P(x) 0.2 0.5 0.3 a. Compute E(X), E(X²), V(X) and standard deviation of X. b. If the price of a freezer having capacity X is 70X-650, what is the expected price paid by the next customer to buy a freezer? What is the variance of price paid by the next customer to buy a freezer?

4. A certain brand of upright freezer is available in three different rated capacities: 16 ft3 ,18ft3, and 20ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has pmf: X 16 18 20 P(x) 0.2 0.5 0.3 a. Compute E(X), E(X²), V(X) and standard deviation of X. b. If the price of a freezer having capacity X is 70X-650, what is the expected price paid by the next customer to buy a freezer? What is the variance of price paid by the next customer to buy a freezer?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

See similar textbooks

Similar questions

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
1. Let X be an RV with PDF - f(x) = {1 = |x| a. Find the mean of g (X) = 5x² - 1. b. Find the variance of g(x) = 5x² - 1. for x < 1 otherwise
8. Given the Beta Distribution where p(x) = B(a,b).ªªa- Calculate the mean and variance B(a, b) = -xª-¹ (1-x)b-1 1 = √₁² 2²- x-¹(1-x)-¹dx = r(a) I (b) I(a + b)
If 1. If for >0 the energy of a pdf is E(x)=r, find the variance. (A) 1 (B) 2 (C) 1/2 (D) Undefined (E) 0
Suppose that Yt is the monthly value of the number of new home construction projects started in the United States. Because of the weather, Yt has a pronounced seasonal pattern; for example, housing starts are low in January and high in June. Let μJan denote the average value of housing starts in January and let μFeb, μMar,. . . . , μDec denote the average values in the other months. Show that the values of μJan, μFeb, . . . , μDec can be estimated from the OLS regression Yt = β0 + β1Febt + β2Mart + . . . .+ β11Dect + ut, where Febt is a binary variable equal to 1 if t February, Mart is a binary variable equal to 1 if t is March, and so forth.
6.2 Let T denote the duration of a waiting time in a service system, measured in seconds. Suppose T is exponentially distributed with parameter A=0.01. Let S denote the same waiting time, but measured in minutes. Find the mean and the pdf of S.
You are given a sample of two values, 5 and 9. You estimate Var(X) using the estimator g(X1, X2) = (X,- X)². Determine the bootstrap approximation to the mean square error of g. (A) 1 (B) 2 (C) (D) 8 (E) 16 4.
Suppose that the Lorenz Curve for country A is given by yA = x 2.2 and for country B is yB = 0.3x 2 + 0.7x. Use the Gini index to determine which of the two countries has greater inequality in its income distribution.
4. Let Y U (0, 1). Show that X = -2ln(Y) follows an Exponential distribution with mean 2. pplications