Show that the characteristic function of a random variable having the binomial density is x (o)=[1-p+pe"]N

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A: We have to find the probability number you dialed on phone keypad is greater than 9. as we know that…

Q: 1. An insurance company classifies drivers as low-risk, medium-risk, and high-risk. Sixty percent of…

A:

Q: i) ii) Construct a contingency table using the information given. Find the probability that B would…

A: here given ,  P(A ∩ B) = 0.24  p(A' ∩ B) = 0.36 here A and B are Independent events  so P(A ∩ B) =…

Q: Ten coins are thrown simultaneously. Find the probability of getting at least seven heads.

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Q: A random sample of 105 students of University A showed that 12 were in favour of a new grading…

A: Given: Sample size (n1)=105Sample size (n2)=108x1=12x2=18α=0.01

Q: Management of the New-Fangled Soft Drink Company believes that the probability of a customer…

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Q: A candy dish contains 2 red and 4 yellow candies. You close your eyes, select two candies from the…

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Q: The world famous gambler from Philadelphia, Señor Rick, proposes the following game of chance: You…

A: Given Information: A fair die is rolled. If 1 is rolled, then Señor Rick pays you $20. If 2 is…

Q: As we have learned, the changing rapidly. The rise in the artificial intelligence has decima…

A: As this question includes many sub-parts according to the company norms first 3 question sub-parts…

Q: Let T have at distribution with r degrees of freedom. Show t with 1 and r degrees of freedom. (Hint:…

A: Given that t distribution with degrees of freedom r.

Q: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted…

A: Given A fair is rolled twiceEvent A : the sum is greater than 8Event B : the sum is not divisible by…

Q: An automotive V6 engine consists of six identical cylinders for the engine to perform its intended…

A: Given, 6 identical cylinders Mileage of failure modelled as Weibull distribution with shape…

Q: We have a nickel (5 cents), dime (10 cents) and quarter (25 cents) in a cup. We withdraw one coin…

A: Formula Used: Expected value μ = ∑XP(X) Variance = ∑(X-μ)2

Q: The number of cars sold weekly by a new automobile dealership grows according to a linear growth…

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Q: Erica is working on a project using software to find probabilities. She quickly realizes that her…

A: As Prof. A. M. Gun said "Suppose there is a finite population of size N that contains exactly K…

Q: set

A: Given: U=​{1,2,3,...,17​} A=​{4​,5​,7​,8​,17​} B=​{5​,6​,7​,9​}

Q: Table 6 shows the moisture content for one week during mo Find and interpret the coefficient of…

A: Given data, X Y X*Y X*X Y*Y 25 34 850 625 1156 23 32 736 529 1024 29 30 870 841 900 25 33…

Q: You are conducting an experiment where a bucket is filled with 11 fluffy hamsters and 7 spiky sea…

A: From the provided information, A bucket is filled with 11 fluffy hamsters and 7 spiky sea urchins.…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that…

A: Choose the order of the 4 nationalities in 4! ways. Choose the order of the 3 Americans in 3! ways.…

Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed,…

A: Let X denote the life expectancy of an automobile  tire  and we have given that X follows N( 29000,…

Q: Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank…

A: Poisson distribution   The Poisson experiment is the discrete probability experiment that satisfies…

Q: When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5…

A: Given info: Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose…

Q: Calculator kvQbBIGAPnwA3CmUJ52J7SYZtqWJWkMA/formResponse 19 The events A and B are such that P(A) =…

A: As per guideline expert have to answer first question only.

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: It is given that N represents an author is new and U represents that an author is unsuccessful.

Q: -and-run accident told the police that the license number contained the letters KL followed by 5…

A: According to Given information License number plate contained the letter RL and followed by 5 digits…

Q: Using a balanced coin, for an experiment with 3 tosses. X is the random variable that assume the…

A: It is given that the balance coin for an experiment with 3 tosses. The sample space is S = {HHH,…

Q: 7. P(Z < ) = 0.1029

A: According to policy we supposed to answer first part for remaining please repost the question

Q: 1. An insurance company classifies drivers as low-risk, medium-risk, and high-risk. Sixty percent of…

A: Given Information: An insurance company classifies drivers as low-risk, medium-risk and high-risk.…

Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: a) Find the value of k. b) Construct the probability distribution table. c) Calculate the mean and…

A: a) Σf(x)=1⇒17k*5+17k*6=1⇒175k+6k=1⇒17*11k=1⇒11k=7⇒k=711

Q: The shape below contains a rectangle and four semi-circles. Q 7 8 Round your responses to two…

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Q: A certain random variable X has the probability density function (pdf) given by (x + 1, l1-x, -1≤x≤0…

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Q: A population of beetles are growing according to a linear growth model. The initial population (week…

A: ÀPopulation of beetles are growing according to linear model  P(n) = a + nb Given that P(0) = 5…

Q: X, Y follow the exponential distribution with rate parameter lambda = 5.0 P[X >= 5] ?…

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Q: A judging panel of 7 people is to be randomly selected from 8 teachers and 10 students. What is the…

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Q: (b) The data in the following Table 3 represent the number of hours of relief provided by five…

A: The objective is to test whether the mean number of hours of relief provided by the tablets is the…

Q: A company manufactures matches that are then put in boxes of 300 matches each. The boxes are…

A: In the given scenario, a firm produces matches, which are subsequently packaged in boxes of 300…

Q: a) A survey was conducted to investigate the number of parcel distribution in a company Courier ABC.…

A: Given  Hypothesis  Ho: p1=p2=p3=p4=p5 (claim) H1: at least one of the p is not equal(right tailed)…

Q: B A 20 14 29 E D 3 27- H 26 G -30- 10- 4 K Find the shortest path from vertex A to vertex L. Give…

A: From the given graph we find the shortest path from vertex A to Vertex L

Q: Two aeroplanes bomb a target in succession. The probability of each correctly scoring a hit is 0.3…

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Q: What is the probability that a poker hand contains cards of five different ranks but does not…

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Q: Find the indicated probability. Give your answer as a simplified fraction. The managers of a…

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Q: You randomly asked 100 students about their mean exercise time per week. Using the data, you stated…

A: This is an example of inferential analysis .

Q: In a certain city district, the need for money to buy drugs stated as the reason for 61% of all…

A: Given,n=5p=0.61q=1-0.61=0.39A random variable X~Binomial(n=5 , p=0.61)P(X=x)=Cx5 0.61x0.395-x  ;…

Q: The boxplot below shows salaries for CPAS and Actuaries in a town. CPA Actuary 20 30 40 50 60 70 80…

A: The box plots for CPAs and Actuaries are given.

Q: The pdf of random variable X is given as fx(x) = = Find the i) Mean 0.3507√x 0<x<3 otherwise ii)…

A:

Q: Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are…

A: GivenS={1,3,5,7,9}E={1,3,5}

Q: One angle in a triangle has a measure that is three times as large as the smallest angle. The…

A: Given that  The triangle has a measure of  One angle = 3 times as large as the smallest angle .…

Q: 3. Let X₁, X, and X, be a random sample of size n=3 from a distribution with p.m.f. Construct a) b)…

A: Given:P(X=x)=14    ;x=134     ;x=2Find:pmf of X¯pmf of S2

Q: Which of the following statements is true of P(A), that is, the probability of A, for any event A?…

A: I. If A is very likely to occur, P(A) &gt; 1  II. P(A) = 1 - P(A not occurring) III. P(A) &gt; 0…