A coin weighted so that P ( H) =3/4 and P( T ) = 1/4 is tossed three times . Let X be the random variable which denotes the longest string of heads which occurs . The first noncentral moment of X is

Q: A particle is moving on the unit circle x² + y² = 1 at the constant angular speed > 0, starting at…

A:

Q: Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1…

A:

Q: Three colored marbles are drawn in succession, from a jar that contains 4 black marbles and 2 green…

A:

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 a. 3; 7.141 O b. 3; 2.414…

A: Given the data set we have to find mean and standard deviation of the dats set.

Q: 4. In one of the biggest schools in Metro Manila, 80% of their high school students are known to…

A: Given: n= 15 Probability of success , P = 0.80 q = 1-p = 0.20 Formula used: P(Y= r) = nyPrqn-r Where…

Q: s, find probability of E3

A: Here Given  For Rolling dies  No of Possible outcomes = 6 {1,2,3,4,5,6} Now  Basic Probability =No…

Q: In dealing poker cards (52 cards in a playing deck), you’re drawing 5 cards at random. What is the…

A:

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: Rate very poor poor fair good very good Excellent Probability 0.07 0.12 0.17 0.32 0.21…

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

Q: Find the probability that both are green. B. Find the probability that none is blue. C. Find the…

A: here given in box 2 red, 3 green , and 2 blue balls  2 balls are selected Without Replacement  here…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: GivenNo.of toppings(n)=6No.of toppings could be ordered(r)=3

Q: A fair coin (P(heads) = 0.5) is flipped 6 times. What is the probability of flipping fewer than 3…

A: Binomial distribution is given by

Q: a. What is the probability that all the three grade 11 students are included? b. What is the…

A: here given  there are total 10 students in group  and of them 3 students are grade 11 students  5…

Q: 5A+2B. The variance of T is 6

A: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B.

Q: A source produces dots. And dashes - with .P(dot)=0.65. Find the entropy 0.97370 .a O 0.934 .b O…

A: Entropy is used to measure the similar value of the sample size. Entropy is will be zero when they…

Q: A and B are two events such that P(A) = = 0.4 and P(AB) = 0.2 Then P(An B) is equal to a. 0.4 b. 0.6…

A: Given : P(A) = 0.4 and P(A n B) = 0.2

Q: Is the given statement true or false? C= "Cn-r a. False O b. True O

A: Given,Crn=n!n-r! r!

Q: If 4 marbles are pulled from the bucket, determine the number of different 4-sets of marbles that…

A: There are 13 marbles which contains 8 red ad 5 blue marbles. (i)When 4 marbles are pulled, where 2…

Q: A scheme of random number generator is described as follows. First, one generates a normal random…

A:

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 6.9;3 .a 2.414;3 .b O…

A:

Q: Primary and secondary routes connecting two computers need to be chosen. Two primary routes are…

A: The routes are primary and secondary.

Q: A sample of 5 pipes is selected from the 30 pipes without replacement. Determine the probability…

A: here given  there are total 30 concrete pipes of them 8 defective and 12 are non defective  here it…

Q: Cost of Pizzas A pizza shop owner wishes to find the 99% confidence interval of the true mean cost…

A:

Q: In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines 5 bulbs, which are selected…

A:

Q: Classify the two given samples as independent or dependent. Sample 1: Sample 2: The household…

A: It is given that the sample 1 is the households income for 39 households in a suburb.

Q: Solve the following problem step by step please A newspaper does a survey of reading preferences…

A: 330=150(survey)+120(read electronic)+50(Physical)+10(do not read any format)

Q: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

A:

Q: A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box…

A: The total number of pencils =5+7=12 Let event A: The first pencil chosen yellow.P(A)=C17C112=712Let…

Q: In how many ways can we select 6 people out of 12, ?of which a particular person is not included…

A: GivenNo.of people(n)=12No.of people to be selected(r)=6

Q: (b) Consider the 48-ball lottery game described above. Recall that the order of the numbers chosen…

A:

Q: A sample of 5 pipes is selected from the 30 pipes without replacement. Determine the probability…

A:

Q: a. Determine the expected value of X. b. Determine the expected value of Y. c. Determine the…

A: As per bartlby guidelines we can answer only first three subpart and rest can be reposted

Q: andom variable has probability stribution: x= 0,1, 2 ,3 ,4, 5,6,7 and P…

A: We know that the  By total probability law, sum of all the probabilities of a random variable is…

Q: The mean of the numbers (x₁, x2, x3,...,xn) is . x. Show that the sum of the deviations about the…

A:

Q: Teachers' Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the…

A: The provided information is  µ=47750 σ=5680 Part 1 of 2 P(38500≤X≤50000)…

Q: a. What is the probability that all the three grade 11 students are included? b. What is the…

A: here in given problem no need of graph or curve  here given in group of 10 students , there are 3…

Q: If E denotes the expectation the variance of a random variable X is denoted as (E(X))^2 - E(X) True…

A: We will check above statement is true or false by using variance in expectation form

Q: In how many ways can the position of president and secretary of an organization be  filled if…

A:

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3 kg. Suppose…

A:

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given: Four technicians regularly make repairs when breakdowns occur on automated production line.…

Q: Two cards will be drawn one after the other from a standard deck of card. Event A represent a heart…

A: Given that two cards will be drawn one after the other from a standard deck of card. Event A…

Q: a. P(Z -1.76). P(Z > 2.42). b. C.

A: We will use Standard Normal table to find the required probabilities. Note : According to our…

Q: 15. Lottery Prizes A lottery offers one $1000 prize, one $500 prize, and five $100 prizes. One…

A: The answer is attached below,

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Given,Total no.of toppings=6

Q: 1. A company decides to investigate the amount of sick sample of eight employees yields the…

A: As per bartleby policy I answered the first question

Q: Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15,…

A: Decision tree used entropy for different sample size. It used to compute the similarity between the…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that 2 are…

A:

Q: According to data, Metro Manila experiences major earthquake once every 4 months. What is the…

A: Farmula used P(E)+P(Ec)=1

Q: fewer than 10 cars have fewer than three passengers ii) at least 15 cars have fewer than three…

A:

Q: The probability distribution for the random variable,x, is x: 2, 2.5,3.0,3.5,4.0,4.5 and…

A: The variable x denotes the random variable.