Let X be a random variable with probability distribution as shown below: 25 2 < x < 10 f(x) = }3x3 and g(X) = 5X 0, elsewhere Then the value of E(g(X)) is:
Q: In 2017, a labor union in City A listed the 5 categories of most importance to their members. In…
A: The categorical variable has 5 categories. We have to test whether the distribution still holds true…
Q: anges cost $5 and sells for $15. If there are any cases of mandarin oranges not y are sold to a…
A: Answer:
Q: Let X be a random variable with probability distribution as shown below: 25 2 <x< 10 f(x) = {3x and…
A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10E(X) + 5
Q: 9. A card is drawn from a deck of 52 cards. If the suit of the card is a heart or a spade, a fair…
A: A sample space is defined as the set of all possible outcomes of a random experiment. Being a set,…
Q: An ecologist wishes to select a point inside a circular sampling region according to a uniform…
A:
Q: Continuous Distributions - Data Management The number of automobile accidents per week in Pascal…
A: Given,mean(μ)=16.3standard deviation(σ)=2.7
Q: 6. Thirteen percent of ådults ale ItIU TIU finding at least one lefty. - ƏC (0.13)°(C 0.9693 7. Six…
A: Solution
Q: The table below shows the educational attainment of a country's population, aged 25 and over. Use…
A: Given information: Less than 4 years high school 4 years High school only some college(less…
Q: According to the area under the normal distribution, approximately what percent of the data should…
A:
Q: 6. Events that have no outcomes in common 7. The general addition rule for two events (formula) 8.…
A: 6. Events that have no outcomes in common - Mutually exclusive or Disjoint events.
Q: If a typist makes errors at random at a mean rate of 3 per page, then the probability of making at…
A: Let X denote the number of errors on two pages. It is given that Number of errors per page = 3,…
Q: A card is drawn from a deck of 52 cards. If the suit of the card is a heart or a spade, a fair coin…
A: There are four suits in a deck of cards and each of these suits contain 13 cards. So, if a single…
Q: Mercy will be on the committee. 41. Neither Luis nor Mercy will be on the committee.
A: here total 10 students in group 4 students are selected for committee here it is without…
Q: The life expectancy of a fluorescent light bulb is given by the number of hours that it will burn.…
A: Given that We have to find sample standard deviation :
Q: Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by…
A:
Q: A survey was given to 18 students. One question asked about the one-way distance the student had to…
A: Solution
Q: There are 28 students in a class who want to be members in the school 's physics, math and…
A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…
Q: Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The…
A:
Q: Continuous Distributions - Data Management 1. A manufacturer of cereal finds that the masses of…
A:
Q: Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives…
A:
Q: A certain brokerage house wants to estimate the mean daily return on a certain stock. A random…
A:
Q: For n=8 and x=0 41, what is P(X = 7)? P(X= =7)=(Round to four decimal places as needed.)
A: Let X be the random variable from binomial distribution with probability (π) = 0.41 and number of…
Q: If a student is picked at random, what is the probability that a) he or she is a full-time student…
A: The data is given by No work part time work full time work Total Full time student 0.15 0.22…
Q: For n=8 and x=0 41, what is P(X= 7)? P(X = 7)=Round to four decimal places as needed.)
A:
Q: If a random variable X is defined such that: E(X + 4) = 10 and E[(X + 4)²] = 114. Then the values of…
A:
Q: 3. How many 4- digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 it: a) no…
A: Given many 4-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7
Q: A marble is selected at random from a jar containing 3 red marbles, 5 yellow marbles, and 2 green…
A: From the provided information, A marble is selected at random from a jar containing 3 red marbles, 5…
Q: Five people are in an endurance race. Suppose you randomly pick and bet on two of them. What is the…
A: There are total five people, n= 5 Probability of selecting the person who placed first is P(1st)=…
Q: Q1. The public health center in the "BigRock" town knows that daily demand for Covid-19 vaccine kits…
A:
Q: which of the following is corre ycle index component at perio period t is greater than 1 period t is…
A: *Answer:
Q: The time between arrival of CAT buses follows an exponential distribution, with a mean of 20 minutes…
A: Given that The time between arrival of CAT buses follows an exponential distribution, with a mean of…
Q: A student does a survey to see if the proportions of men and women who plan to get a degree in a…
A: Given that - A student does a survey to see if the proportions of men and women who plan to get a…
Q: Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The…
A: Given: n=16x¯=24.0s=3.4CI=95%=0.95
Q: You may need to use the appropriate technology to answer this question. A client wants to determine…
A: Use the Excel And Perform the One way anova Followings are the steps to perform the One way anova…
Q: need the answer quickl
A:
Q: • A single card is drawn from a deck. Find the probability of selecting: a 7 ora diamond; a club or…
A: As per our guidelines we are suppose to answer only one question1)GivenTotal no.of cards in a deck =…
Q: Question* The joint probability density function for X and Y is given by: x> 0, y > 0, 3r+yx> 0)d u…
A: For a continuous random variables, their probability distribution are categorized in various group…
Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…
A:
Q: Question 1:- A sample consists of 1000 length measurements. The sample mean is 53.65 cm and the…
A: Given: Sample size is 1000. Sample mean x¯=53.65 Sample standard deviation s=1.25 Number of…
Q: b) For the triangular function c(10-x) 0<x<10 f(x)={° otherwise Find the value of c which makes the…
A: From the provided information,
Q: Among the 30 applicants for a position at a bank, 18 are married, of which 6 have some banking…
A:
Q: Let X be a random variable with probability distribution as shown below: 25 2 <x < 10 f(x) = {3x3…
A: Given: fx=253x3, 2<x<100, elsewhereand gX=5X+3
Q: Stick or roll is a game involving two players, A and B, and a die with four faces (numbered 1, 2, 3,…
A: Given that, Two players A and B roll four-faced dice. {1, 2, 3, 4} The faces are equally likely to…
Q: Help with b
A: Given Information: The die has four faces numbered as 1, 2, 3, 4. When the die is rolled, the faces…
Q: Example 10.7 In a certain locality, the average rent paid by all tenants amounts to Rs 1.500 pm with…
A:
Q: 12. in a factorial treatment structure in a completely randomized design, under what condition could…
A: In a completely randomized design, the treatments are assigned completely at random so that each…
Q: 46. Jun and Aaron are equally good at chess. They play three games against each other. What is the…
A: Given problem Given that Jun and Aaron are equally good at chess. They play three games against…
Q: Round the point estimate to the nearest thousandth. 368 randomly selected light bulbs were tested in…
A: Given Data Sample Size, n = 368 Number of successes, x = 94
Q: Reuben is playing a game of chance in which he rolls a number cube with sides numbered from 1 to 6.…
A: Given that - Reuben is playing a game of chance in which he rolls a number cube with sides numbered…
Q: How will the MAGNITUDE of the critical value for a two-tailed test compare to the critical value of…
A:
Step by step
Solved in 2 steps with 1 images
- (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?
- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).