As shown in the table below that gives the marks distribution in a university class. Find the following probabilities: 1-Marks (60-70). 2-Marks 63. 3-Marks 85. 50-54 55-59 60-64 64-69 70-74 75-79 80-84 85-89 20R 45R 100+N 10-G Marks Frequency 14 15R 16 19+R N: 43 R-NºG G:1

Q: Q1/a coin is flipped, and a die is rolled. Find the probability of getting a head on the coin and a…

A: 1. If a coin is flipped one time then the sample space is : {Head, tail} So the total no. of…

Q: The probability 99% of ChatBot message send to customer are correct. If a sample of 100 massages is…

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Q: 8. Given two events X and Y: Event X has probability. If event X happens, t 2 event Y is. If event X…

A: Conditional probability is the probability of an event, given that the other event has already…

Q: 10. A discrete random variable X follows Poisson distribution with mean λ. If P(0)=P(1), find λ. A.…

A: Given,A random variable X~Poisson(λ)P(X=x)=e-λ λxx!   ;  x≥0

Q: Question 4 Let X have the normal distribution N(0, 1), and let Y = ex. (a) Find the support of Y. My…

A: Q.4) a)Given,     x ~N(0,1) μ=0 and  σ2=1

Q: The admission committee of AUCA enrolls 39% of those who took the exam. If the scores follow a…

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Q: two tosses. a. What is the pmf of X? b. Find E(X).

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Q: There 13 students in the class and 7 of them are freshmen. If 5 students are selected at random,…

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Q: A Happy Meal at McDonalds can have up to 12 different toys in it, each being equally likely to get.…

A: Probability is the occurrence of an event that can be represented either by a fraction or a decimal.

Q: A box of chocolates contains 10 milk chocolates, & dark chocolates, and 6 white chocolates. Hanissa…

A: GivenNo.of milk chocolates = 10No.of dark chocolates = 8No.of white chocolates = 6Total no. of…

Q: = 2x for 0 ≤ x

A:

Q: The average test score for the entire college is 80 with a standard deviation of 12. Using a 95%…

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Q: The information below is very:1. Arithmetic mean 2. Standard deviation 3. Skew modulus Speed range…

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Q: A population has a mean of 17 with a standard deviation of 2. A sample of 50 items from that…

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Q: In this question you are required to examine distribution at X(0) and x(1/8fo) x(0) ∈{0,-1 ,1}…

A: Given information: The distributions of X(0) and X(1/8fo) are given.

Q: What is the probability that at least four of the next 5 cars get a green light

A: It is given that  Green light = 40 seconds Red light = 15 seconds Yellow light = 5 seconds

Q: There are 6000 students in the college and 600 of them are seniors. If 30 students are randomly…

A: Let X be the number of seniors from Binomial distribution with probability (p) = 600/6000 = 0.1 and…

Q: 3. According to a July, 1999, article in the New York Times, venture capitalists had this rule of…

A: Solution

Q: The scores of students in a diagnostic test administered in an introductory course in statistics are…

A: GivenMean(μ)=60standard deviation(σ)=4sample size(n)=25

Q: Question 9 A club has 11 total members, 10 of which are juniors. 3 members will be chosen at random…

A: Given,no.of juniors=10Total no.of members=11

Q: Two kinds of thread are being compared for strength. The data are as follows: (kg) Brand A: 78.3 s…

A:

Q: EXAMPLE 2.1 A contractor is planning the acquisition of construction equipment, including…

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Q: 5. (8 pts) X is a random variable with pdf Xe-xx>0 f(x) = { o/w and let Y = 1 - X/2. Find the pdf of…

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Q: Q4. a) A large batch of capacitors is manufactured and a sample of 10 is selected and measured using…

A: Given information: 494, 501, 500, 497, 493, 492, 503, 499, 507, 498

Q: 2 2 √(x² + 2x + 3)³²(x + 1) dx¸ 0

A:

Q: Could you give a background question where 12! would be the answer?

A: Please find the explanation below. Thank you

Q: Length of stay is the total of wait and service times. Some longer stays are also approximated as 15…

A:

Q: There is a game of chance in a carnival. The game consists of a box with 25 balls where 9 are red, 6…

A: Given problem Given that   There is a game of chance in a carnival. The game consists of a box…

Q: bivariate R.V. (X, Y) as shown below. (A) Determine the constant k. (B) Are X and Y

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Q: Given a distribution P(x,y) defined by: X y P 1 .1 1 .2 1 .1 2 .3 .1 .2 Find the following: i) P(x)…

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Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: d. Find the marginal density h(y). e. Find the conditional density f(xly). f. Find the conditional…

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Q: Show that if A, and A, are two events, then P(A₂)+P(A₂)−1≤P(A^A₂).

A: *Answer:

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: 4. Construct a Huffman code for the symbols below with D=3. Symbols Probabilities x1 .3 .2 .15 .1 xz…

A: Probability and symbols given, We have to calculate Huffman code for the symbols. First we will make…

Q: 10. How many squares make up the 5th figure? The 10th? The nth? n=1 n=2 DO n = 3 n = 4

A: Here's we can see that, first figure has 8 squares. Second has 8+8 = 16

Q: 4. A parent's chance of passing a rare inherited disease on to a child is 0.25. What is the…

A:

Q: A fruit bowl contains 3 apples, 5 oranges and 2 peaches. If a piece of fruit is selected at random…

A: a) The fruit bowl contains 3 apples, 5 oranges, and 2 peaches.

Q: Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (°F)…

A: Conditional density f(x/y)= f(x,y)/h(y) Where h(y) is marginal density of y.  Conditional density…

Q: A sub-committee of 6 members is to be formed out of a group of 7 men and 4 ladies. Calculate the…

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Q: For a binomial distribution, Mean the distribution. 7, and Variance = 11. Comment on

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Q: The newspaper reports that among individuals in the 18 to 22 age, 25% drink coffee. If 400 people of…

A: Given,n=400p=0.25q=1-0.25=0.75np=400×0.25=100≥5nq=400×0.75=300≥5we can use normal…

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: 3) Pat has 5 white beads and 1 black bead in her bag. She asks two friends about the probability of…

A: d) Peter has a different bag of black beads and white beads. Peter has more beads in total than…

Q: It is known that only 0.1% of students at a local university does not own a laptop. A survey was…

A: Given,n=2000p=0.001here n value is very lage and p value is very smallso , we can use poisson…

Q: TREE التاريخ NE 5.5 @let XX... XnX N (M, S) show that X is Eiffient Estimater. let X₁ + X₂ - - - X n…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

Q: 7.63 0.1587 O 0.0668 O -0.0668 O 0.2 O 0.0062

A:

Q: B. Consider the random variable T. Find the following probabilities. 4. P (-t.1< T <t.01) 5. P…

A: Using student t table, we find the required solution.

Q: Question 2 A bag of M&M's contains the following amounts of each color: 3 red 3 blue 2 brown 4…

A: Solution

Q: A teacher has prepared 20 questions of permutation and 15 questions of combination from the topic…

A: From the provided information, A teacher has prepared 20 question of permutation and 15 question of…