Answered: Suppose that a random variable X is…

Suppose that a random variable X is distributed uniformly over an interval [15, 25]. Find the following probabilities: (a) P(20 ≤X ≤ 25), (b) P(X ≤25), (c) P(15 ≤ X ≤ 25), (d) P(X ≤ 15).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A binomial experiment is one that has these five characteristics: 1. The experiment consists of n…

A: Using the provided characteristics, the random variable is to be validated, whether it satisfies a…

Q: A boiler has five identical relief valves. The probability that any particular valve will open on…

Q: 1.) In a binomial experiment, the probability of success in each trial is 0.45, and 30 trials are…

A: We have given that Number of trials n=30 Success of probability p =0.45 q=1-p X~binomial ( n,p)

Q: A sample of n = 17 observations is drawn from a normal population with u = 920 and o = 200. Find…

A: GivenMean(μ)=920standard deviation(σ)=200sample size(n)=17

Q: distribution of X₁ is binomial

A: A multinomial distribution is defined as a generalization of binomial distribution. It is a type of…

Q: Let the random variable X represent test 1 scores of the students who take a math class. Suppose…

Q: Let X be a random variable distributed as Normal(5,4). Find the probabilities of the following…

A: Mean = 5 Variance = 4 Standard deviation= sqrt(4)=2 i)

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

Q: An urn contains four white balls and six black balls. The random experiment consists of drawing…

A: 4 white ball+ 6 black ball =10 ball

Q: 43. Let X1, X2, ., Xn be a random sample from exponentially distributed population with variance 02.…

A: Option a) is correct.

Q: When circuit boards used in the manufacture of compact disc players are tested, the long-run…

Q: Find the following probabilities for the given random variables: a) X Normal(8, 16); P(X> 11.5) b) X…

A: a) X~Normal(8,16) Mean(μ)=8 Variance(σ2)=16 standard deviation(σ)=16=4

Q: random Let X be a binomial variable with mean 1 and variance 3. The probability that X takes the 4…

Q: Consider a set of 10 seeds planted in a field on day 1. Each seed sprouts the day after being…

A: Solution:a) Find the pmf of X. Find the mean and variance of X.Answer: The ranodm variable X follows…

Q: If X∼U(4.5,18.5) is a continuous uniform random variable, what is P(X<11)?

A: Given problem Given that If X∼U(4.5,18.5) is a continuous uniform random variable, We need to…

Q: 2. Assume that x is a binomial random variable with n=1000 and p=0.50. Use a normal approximation to…

A: Normal approximation to binomial distribution:The pmf for the binomial distribution or the…

Q: Find the following probabilities: a) P(X = 2) when X ∼ Bin(4, 0.6) b) P(X > 2) when X ∼ Bin(8,…

A: Consider X be a binomial distributed random variable. The probability mass function of the binomial…

Q: Let X be a random variable representing the number of Vitamin C packs, that a pharmacist sells per…

A: Given, The pharmacist sells on the average 5 Vitamin C packs per hour Let X be a random variable…

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

Q: Is the probability of the minimum order statistic being greater than a number that same as the…

A: Introduction: Denote X1, X2, …, Xn as n observations taken from the probability distribution of the…

Q: A random variable X has mean 3 and variance 2. Use Chebyshev's inequality to obtain an upper bound…

A: Answer:-Consider that a random variable X has expected value μ and standard deviation, σ. Now,…

Q: CH3COOH is produced for technical use in a chemical plant. It has been determined that the purity…

A: The mean purity level of the product is 50% with a standard deviation of 3%. To calculate the…

Q: If X is a random variable having a geometric distribu-tion, show that P(X = x + n|X > n) = P(X =…

Q: Let A1, A2 and A3 are 3 independent random variables each having a Uniform distribution in the…

A: Given Ai~U(0,1); i=1,2,3

Q: A sample of 5 light bulbs is drawn from a large collection (large enough to be considered…

Q: d) What is the expected value of X? e) What is the variance of X? [

A: It is given that 45% of new freshmen eventually graduate and sample size is 81.

Q: You are riding from Ahmedabad to Gandhinagar on a Sunday morning. Your friend told you that on an…

A: Introduction to Poisson distribution: A random variable X is said to have a Poisson distribution…

Q: A Gaussian random variable, X, has mean value a -5 and variance o" - 16. You can find a table of…

A: As per our guidelines, we can solve the first three sub parts of question and rest can be…

Q: Suppose 10 balls are put into 5 boxes, with the location of the 10 balls being chosen independently…

A: Given 10 balls are put into 5 boxes Let X denote the number of boxes that do not contain a ball

Q: Q1/ Let X be a random variable having P. m. f ? P,(X) 1-find C.d.f. of X? 2-Graph the C.d.f.?…

A: Given information: X is a random variable with the probability distribution table as: X 0 1 2 3…

Q: A psychologist determined that the number of sessions required to obtain the trust of a new patient…

Q: 2) Sideswipe Sam is a terrible driver. Assume that the probability that Sam will sideswipe a parked…

A: Given : Probability that Sam will sideswipe a parked car = p = 0.02 Let X denotes the number days…

Q: ppose that a random variable X has the uniform distribution o tegers 10,..., 20. Find the…

A: Given Total samples =11(10,11,12,13,14,15,16,17,18,19,20) Even number=10,12,14,16,18,20

Q: Q7- if the random variabie X is normai with mean 4 and standard deviation 2, then what is P(X² – 8X…

Q: Suppose that X ~ B(10, 0.55). Find the following probabilities. Round to three decimals. a. P(X =…

Q: A discrete random variable X can take 3 outcomes: 0,1 and 2 with probabilityP(X = k) = c(k + 1)2, k…

A: It is known that the random variable X takes 3 outcomes: 0,1, and 2 with the corresponding…

Q: One of two identical-looking coins is picked from a hat randomly, where one coin has probability p1…

A: Since p1 and p2 are not equal, X does not follow a Binomial distribution. But it can be defined as a…

Q: *Assume that the random variable X is normally distributed, with mean - 45 and standard deviation…

Q: 6) You are given a four sided die with probabilities given as follows : 1 2 3 4 P(X = x) | 0.1 0.2 |…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Question

Suppose that a random variable X is distributed uniformly over an interval [15, 25].
Find the following probabilities: (a) P(20 ≤ X ≤ 25), (b) P(X ≤ 25),
(c) P(15 ≤ X ≤ 25), (d) P(X ≤ 15).

NOTE: Please explain each part, so the problem can be used as a Study Guide

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

2) A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.57 feet. Assume that the lengths of individual pipes produced by the process are independent. Let X and Y represent the lengths of two different pipes produced by the process. What is the probability that the second pipe (with length Y) is more than 0.35 feet longer than the first pipe (with length X)? Give your answer to four decimal places. Hint: Do not use calculus to get your answer.
Let X1, X2....X7 be i.i.d. N(0,1) random variables Answer the following questions and give reasons: i) Find the distribution of x̄. ii) √(7) x̄. That's squareroot of 7 times x bar. iii) 7( x̄.)2 + (X8)2 iv) Y v) (3[7( x̄.)2 + (X8)2 ])/Y
This question is about electromagnetic fields, and I want to answer it in 10 minutes
a) Assume that a discrete random variable X such that V(X) = 6.5. Find the value of V(X-10) b) In proof testing of circuit boards, the probability that any particular diode will fail is .01. Suppose a circuit board contains 400 diodes. Write the suitable approximate pmf for the number of diodes on a board that fail.
Let X be a random variable distributed as Normal (5,9). Find the probabilities of the following events: P (X ≤ 6) P (X > 4) P (|X-5| > 1)
Please provide a corrector solution for the following
b) Let X₁, X₂,..., X5 be a random sample of size 5 from the standard normally population. If the statistic Y is given by Y = X1 X2 X3 √√X₁²+X3²+X5²² i) Briefly explain why Y follows a Student's t distribution with 3 degrees of freedom. ii) Compute the probability that Y is between 2.35 and 5.84. iii) What is the mean and variance of the statistic Y? QUESTION O
I roll a fair die twice and obtain two numbers: X1 = result of the first roll, and X2 = result of the second roll. Write down the sample space S, and assuming that all outcomes are equally likely (because the die is fair), find the probability of the event A defined as the event that X1 + X2 = 8.
X is Gaussian random variable with mean 50 and standard deviation 5, what is the correct way to standardize X such as the standardized variable has mean 0 and standard deviation 1? a). X-50 b). (X-50)/5 c). (X-50)/25 d). (X-5)/50
Please
A news company reported that 7% of adult Americans have a food allergy. Consider selecting 10 adult Americans at random. Define the random variable x as x = number of people in the sample of 10 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.) (a) P(x < 2) (b) P(x ≤ 2) (c) P(x ≥ 3) (d) P(1 ≤ x ≤ 2)
6. If X~P.(1.8), find the following probabilities. a) PCX=1) b) P(X22) c)PCX<1)