f (x) = kx^2, k constant, -1 =< x =< 1. f (x) is a p.d.f. the value of k= 1? false b. true a.
Q: A classroom has 10 students a) How many ways can they line up to form a row? b) In how many ways can…
A: by bartleby policy i can give only 3 subparts answer, A classroom has 10 students
Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…
A: Given Information: 40% of the population is poor 25% people are rich 35% are middle class.
Q: A discrete random variable has probability distribution: x= 1,2,3,4, 5 and P(x) =0.12,0.15, 0.23,…
A:
Q: I flip a coin 100 times. 53 of them are heads. After running a chi-square, I discover that the…
A: n = 100 ( experiment trails) x = 53 ( No. of heads) p value = 0.5485 ( chi square test )
Q: Verify that the following function is a cumulative distribution function. 0 0.5 1 F(x) = Round your…
A: Given cumulative distribution function is, Fx=0, 0<10.5, 1≤x<31 3≤x Let us check whether the…
Q: Suppose that the number of drivers who travel between a particular origin and destination during a…
A: given data poisson distribution x = No. of driver travels λ=μ=20, σ=μ = 20 = 4.4721p(x=X) =…
Q: 10. The number of times a certain equipment operates before having to be discarded is found to be a…
A: 10. For any discrete probability distribution, ∑xp(x) = 1 And, if X and Y are two non null events,…
Q: (c) P(-2.70 ≤ Z≤ 0) (d) P(-2.70 ≤ Z ≤ 2.70) (e) P(Z ≤ 1.46) (F) P(-1.65 ≤ 2)
A: Normal distribution shows bell shaped form with mean as center. For standard normal distribution,…
Q: For the remainder of this question, we will consider one of the world's most popular video games,…
A:
Q: Professor Nowotny likes to cook. He cuts his potatoes into thin slices and fries them in a pan. He…
A: From the given information, At each toss the potato slices fall independently of each other with…
Q: A student tosses 4 coins. What is the probability that all 4 coins show heads? O 1/2 O 1/4 O 1/8 O…
A:
Q: b. the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] c.…
A: From given data we have melting point of 12 specimens ; so, n=12 180.4 181.7 180.9 181.7 182.7…
Q: If A is a perfect subset of B and P(a < Pb), then P(BA) is equal to O a. P(a) / P (b)
A: Given: A is a perfect subset of BP(a < Pb)
Q: Cato drinks 8 glasses of water each day. He will drink 2920 glasses of water in a year that had 365…
A: Given information: Cato drinks 8 glasses of water each day. There are 365 days in the year.
Q: I'm struggling with variations! Scenario: You build a deck of cards from a collection. In the…
A:
Q: (b) Based on the results obtained from EXCEL output, perform the hypothesis using the different…
A: Anova is the measure of parametric test. It test the mean significance between the groups. It…
Q: Dan tosses a fair pyramid die that has four sides 3 times. What is the probability he rolls at…
A:
Q: Prove Γ (n) = (n-1)! where n ∈ ℕ
A: Concept: The proof for this gamma integral will be done using mathematical induction
Q: X p(x) (a) Compute E(X), E(X2), and V(X). E(X)= 18 E(X2)= 327.2 ✓ ft³ V(X)= 3.2 18 16 20 0.4 0.2 0.4…
A: The provided equation is: h(x)=X-0.009X2 From previous parts, it is known that E(X)=18E(X2)=327.2
Q: Verify that the following function is a probability mass function, and determine the requested…
A: Given data isf(x)=(12531)(15)x ; x={1,2,3}
Q: Compute the probability P(Y= k), where is a positive integer. Your answer can include the variable…
A: From the given information, X is a uniformly distributed random variable on (0, 1). Y is geometric…
Q: For a standard normal distribution, find: P(-0.87 z<-0.03)
A: GivenP(-0.87<z<-0.03)
Q: 8. DETAILS DEVORESTAT9 4.3.028.MI.S. Let Z be a standard normal random variable and calculate the…
A: Concept: Z score=X-mean/standard deviation Note: According to Bartleby guidelines we can Maximum…
Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) at least…
A: Givena coin is tossed 5 times Total no.of possible outomes =25=32sample size(n)=32probability of…
Q: Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours…
A: given data exponential distribution μ = 2.815 hours λ = 12.815 per hourσ = μ = 2.815P(x>X) =…
Q: Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w(0)…
A:
Q: The manager of a folder factory recorded the number of folders produced by the factory (in…
A: Data is given for production cost according to produced folders for months January to June. We have…
Q: (a) How many four-element DNA chains are possible? DNA chains (b) How many n-element DNA chains are…
A: 4 Possible bases: Thymine Cytosine Adenine Guanine
Q: 4. Suppose that X and Y are random variables having the joint probability distribution Y 2 1 - 3 5…
A: Given, X=2 X=4 Total Y=1 0.15 0.10 0.25 Y=3 0.25 0.25 0.5 Y=5 0.15 0.10 0.25 Total 0.55…
Q: 2) A company survey results shows that 46% of employees are vegans. 58 employees were surveyed. What…
A: Given that Number of trials n=58 Success of probability p=46%=0.46 q=1-0.46 =0.54 X~binomial(n , p)…
Q: Write a fraction as a percent
A: A fraction can be converted into a percent by dividing the numerator by the denominator and then…
Q: 3) A committee of 8 is to be selected from 18 Biologists and 10 Mathematicians. How many ways can…
A: Given 18=Biologist 10= Mathematics Farmula used nCr=n!/(r!(n-r)!) r!=r(r-1)(r-2)...3.2.1
Q: In a standard deck of cards, what is the probability of drawing a face card? (Express your answer as…
A: Given: n(total) = 52 n(face cards) = 12 n(drawn) = 1
Q: Starting at some fixed time, let F(n) denotes the price of a First Local Bank share at the end of n…
A: Given that F(n) denotes the price of a First Local Bank share at the end of n additional weeks, n≥1.…
Q: There is a jar of marbles on the counter containing the following colors. 22 yellow, 11 green, 27…
A: given data 22-yellow 11-green 27-blue 39-red ____________ 99-total marbles grab a marble at random
Q: In a recent survey of 47 science teachers, 32 said the school-provided textbooks were adequate. Find…
A: Survey of 47 teachers N=47 n=32 Sample proportion = (n/N) We have to calculate Standard error of…
Q: (a) What is the probability that exactly 10 of these are from the second section? (Round your answer…
A: From given data we have : sample size n=15 population N=65 success size k= 40
Q: The data show the daily high temperature in a town every day for a week. Mon Tue Wed Thu Fri Sat Sun…
A: Given that Mon Tue Wed Thu Fri Sat Sun 76°F 78°F 81°F 74°F 69°F 69°F 70°F
Q: Problem 5 In order to test whether a box of 80 lemonades meets qualification, a manufacturer picks…
A: The box has 80 lemonades of which 5 are defectives.
Q: Starting at some fixed time, let F(n) denotes the price of a First Local Bank share at the end of n…
A: Given: let F(n) denotes the price of a First Local Bank share at the end of n additional weeks, n ≥…
Q: Nancy is playing cards. What is probability of pulling a diamond or 4 of clubs?
A: nancy is playing cards. p(pulling diamond or 4 of clubs) = ? there are 13 cards of diamonds and 1…
Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…
A:
Q: The following table shows the number of students in three different degree programs and whether they…
A: Given: Undergraduate Graduate Total Business 150 50 200 Engineering 150 27 175 Art &…
Q: In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked…
A: 24 - drink tea 31 - drink coffee total 78 people select at random
Q: f(r) = - (10-)²] 0 9 ≤rs 11 otherwise m. However, the radius of the resulting regio What is the…
A:
Q: 12. For a certain random variable (RV) X the DF F is given by if x ≤ 1 if 1 3 (i) Find the value of…
A: Summing the probability values of the probability density function leads to cumulative density…
Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…
A: given data margin of error = 3% ∴ E = 0.0399% confidence leveln = ?
Q: c. at least 1 but no more than 5 will malfunction. d. What is the expected number of sensors that…
A: given data p(malfunction )=p=0.10 n=12 x=No. of sensors malfunction p(x=X) = nxC px qn-x -…
Q: urn contains m number of red balls and n number of white balls. Two balls are selected without…
A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…
Q: a) Let X₁, X₂, X3, X30 be a random sample of size 30 from a population distributed with the…
A:
Step by step
Solved in 2 steps
- If xis large, which function grows faster, f(x)=2x or g(x)=x2?If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.Sketch the x^2 And the derivative And integration
- If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f (x) = 1 / y (x), what is the average rate of change of the function f ( x) In the same period ?!To determine maximums and minimums by the Second Derivative Test, we differentiate y"=72 / (2-8)3 Substituting x = 14 into y'', _____ <,>, 0r = Substituting x = 2 into y'', ______ <,>, or =How do you derive the reduction formula for integrating sec^3xtan^2x?
- Determine the second derivative of f(r) = x^2e^2 at x= -2 with a step-size of h=0.50 using Central difference approach and true value with ET. please please do show the complete solution thank youuuDetermine the second derivative of f(r) = x^2e^2 at x= -2 with a step-size of h=0.50 using Central difference approach. please please do show the complete solution thank youuuA piece of wire, 370 cm long, is to be bent into an isosceles triangle. What should the exact dimensions (do NOT round) of the triangle be in order to maximize its area? Use the First and Second Derivative Tests
- use first and second derivative principle to determine the level of output (in thousand) at which the firm's cost is minimized TC(x) = 2x3 - 66x2 + 576x + 1000Encounter the critical points of f(x, y) = 16x3 - 9y2 - 36x2 - 12y + 6x - 27 and then denote each point's nature with the second derivative test.Provide a detailed solution and conclusion (without the use of piecewise function): The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, Given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.