Suppose a random variable X is best described by a uniform probability distribution with range 1 to 6. Find the value of a thatmakes the following probability statements true.(a) P(X < a) = 0.73а —(b) Р(X < а) — 0.92à =(c) P(X > a) = 0.75а —(d) P(X > a) = 0.73а —(e) P(1.18 < X < a) := 0.25а —

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Suppose a random variable X is best described by a uniform probability distribution with range 1 to 6. Find the value of a tha nakes the following probability statements true. а) Р(X < а) — 0.73 b) Р(X < а) — 0.92 с) Р(X > а) — 0.75 d) P(X > a) = 0.73

Suppose a random variable X is best described by a uniform probability distribution with range 1 to 6. Find the value of a tha nakes the following probability statements true. а) Р(X < а) — 0.73 b) Р(X < а) — 0.92 с) Р(X > а) — 0.75 d) P(X > a) = 0.73

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: Find the expected value of q. d. Let X1, X2,., Xn be i.i.d. Bernoulli(p). Suppose q =

A: Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Q: 1. Let X be a Binomial random variable with n = 3 and p = 0.4: X~ Binomial(3, 0.4). a) Fill in the…

A: X be a Binomial random variable with n=3 and p=0.4X~Binomial(n=3,p=0.4)P(X=x)=nx×px×(1-p)n-x ;…

Q: random variable X is normally distributed with a mean of (34) and a varianve of (36). The…

Q: The table below shows the frequency distribution for the ages of women who became mothers during one…

A: Solution : a. C b. Yes

Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y for x=0,1,2,3; y=0,1,2,…

A: XY 0 1 2 3 Total 0 0 130 230 330 630 1 130 230 330 430 1030 2 230 330 430 530 1430…

Q: Example 2.15. Let X be a random variable with the following pdf: + 1. Find its CDF. 2. Evaluate the…

Q: 3. Suppose that X - N(3.2, 6.5), Y ~ N(-2.1, 3.5), and Z ~ N (12.0, 7.5) are independent random…

A: Given X~N(3.2, 6.5) and Y~ N(-2.1, 3.5) and Z~N(12,7.5) Note: according to the Bartleby, expert…

Q: Do the following. Find the mean of the probability distribution of the which can take only the…

Q: 56) The accompanying table shows the probability distribution for x, the number that shows up when a…

A: Given, The accompanying table shows the probability distribution for x, the number that shows up…

Q: Let X₁, X2, X3, X4, X5 be an independent and identically random variables following a Binomial…

A: Dear student, According to Bartleby guidelines we can answer only first 3 subparts at once. If you…

Q: 1) A random variable X is defined by: X = -2 3 1 Find the first four moments about the mean. prob.…

A: The question is about moments Given : To find : First 4 moments about the mean

Q: A random variable X has the probability distribution as follows: Find m. * 2 3 4 P(x) 1 m m 4 m 15…

A: Given x 1 2 3 4 5 P(x) 115 m15 m5 415 m15

Q: 11. Let X be a random variable with the following probability distribution: t X f(x) -3 6 2 9 T 3…

A: From the provided information,The probability distribution is as follow:x-369f (x)1/61/21/3

Q: а) Table 3.1 shows the probability distribution for a discrete random variable X. Table 3.1 1 2 4…

A: Given: The probability distribution table is given as follows: x P(X=x) 1 0.3-α 2 0.3-2α 3…

Q: the mathematical expectation , b) the variance, and c) the standard deviation of the number of…

A: It is given that there are 365 days in a year and that each chosen person can be born with equal…

Q: When mean number μ of Atlantic hurricanes per year is given: μ=7.2 Find the probability that in a…

A: Give, X= number of Atlantic hurricanes X follows a Poisson distribution with μ=7.2

Q: Suppose x is a uniform random variable with a = 30 and b = 60. Find P(x < 38 | x < 50). 0.27…

A: Given that: X~Uniforma,b=Uniform30,60 Required probability: P(x < 38 | x < 50)

Q: The profits of a City Center in Thousand R.0 per day has the following probability distribution:…

A: Note: Hey, since multiple subparts are posted, we will answer first three subparts according to our…

Q: The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours…

Q: What is the probability of the event {X = 1}? 2. Write the event {X = 2} in terms of the events {D1…

A: As per policy I have calculated 3 subparts kindly REPOST for remaining parts. You roll a fair…

Q: Suppose that c is a real number and U is a discrete random variable with E(U) = 0. Which of the…

A: Given that U is a discrete random variable with E(U)=0Let us assume that U=-1 , 1U=-1 occurs with…

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

Q: 2. Given a random variable X which satisfies X~ N(μ, 0²). When o increases, the probability P{\x-μ|…

A: Solution Given X~Normal distribution. When σ increases, the probability P{lx-μl < σ} is

Q: Suppose we toss m (numbered) balls into n (numbered) bins randomly. Let X be the number of bins with…

Q: Let X be a random variable representing the number of policies, a life insurance salesman sells per…

A: We have given number of sells by a salesmen per week and we have to answer related questions.

Q: 11.The distribution function of a random variable is 1 fæ =(x – 1)* ,1< x < 3 then the probability…

A: Introduction :- Let X be a random variable. Weare given a cumulative distribution function for X.…

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16 0.02 0.02

Q: Question is attached, Thanks

A: It is given that the expected value of X of a discrete probability is equal to mean.Thus,

Q: I. TRUE OR FALSE. Write TRUE if the statement is always correct, otherwise write FALSE. TRUE 1. The…

A: 4) A standard normal curve is a normal probability distribution that has a mean of one and standard…

Q: Find the value of p and work out P(2< X <5).

Q: 승x, FX=0,2, 4 P(X) =- 0, if X = 1, 3 what is the value of P(x>2)?

A: Given: PX=16X, x=0,2,4=0, if x=1,3

Q: Suppose X is a random variable with possible values 4,-4 and 2 and with respective probabilities…

A: Its a Discrete probability distribution

Q: Suppose X. 1 and 2 are three independent normal random variables. X has an expected value Variable…

A: X, Y and Z are independent normal random variable. Information given in the table. Variable X Y…

Q: When v, = 2, show that the significance level of F corresponding to a significant V2 probability p…

Q: If the following table represent a probability distribution with an expected value of 9. P(x) 2a 4a…

Q: Q1) Let X denotes the minimum of the two numbers that appear when a pair of fair dice is thrown…

A: The sample when a pair of dice is rolled is given as below: S = {(1, 1), (1, 2), (1, 3), (1, 4), (1,…

Q: Assume that a discrete random variable X such that V(X) = 6.5. Find the value of V

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose R is a discrete random variable that only takes positive integer values. Suppose the…

A: Introduction: The cumulative distribution function (cdf), of a discrete random variable, X is given…

Q: 11. A discrete random variable X has the following probability distribution 77 78 79 80 81 P(x = x)…

Q: Let X~ binomial (n, p) and Y ~ binomial (m, p) be independent. 1. Derive the MGF of W = X +Y.

A: 3. Given that X~binomial (n, p) and Y~binomial (m, p) The MGF of X is, The MGF of Y is, a)…

Q: 1. A random variable x has the probability distribution as follows: 2 4 P(x) 1/15 k/15 k/5 4/15 k/15…

Q: 1) Assuming 6 degrees of freedom, find the following probability. P(T > 1.7) = 2) Assuming 16…

Q: 8. Let X be a random variable with the following probability distribution: -3 6 9 P(X=x) 1/6 1/2 1/3…

A: We have: x PX=x x1=-3 16 x2=6 12 x3=9 13 Now, the formula to calculate Ex=∑i=1nxnPX=xn…

Q: Suppose that a discrete random variable X has a distribution with the following probability (4cx,x =…

A: Suppose that a discrete random variable X has a distribution with the following probability…

Question

Suppose a random variable X is best described by a uniform probability distribution with range 1 to 6. Find the value of a that
makes the following probability statements true.
(a) P(X < a) = 0.73
а —
(b) Р(X < а) — 0.92
à =
(c) P(X > a) = 0.75
а —
(d) P(X > a) = 0.73
а —
(e) P(1.18 < X < a) :
= 0.25
а —

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d). 4 e). none of above
Suppose x is a normally distributed random variable with u=16 and o=2. Find each of the following probabilities
An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. Find P(X=5)= Find P(X≥3)=
Let X be the binomial random variable B(10,0.6). Find E(X2). O A. 36 O B. 2.4 С. 38.4 O D. -33.6 E. 8.4
1.) The amount of time an air-conditioning technician to repair a unit is in between 1.9 and 5 hours which is found to be uniformly distributed. Let x be the time needed to fix an A/C unit. b.) Find the probability that a randomly selected A/C unit repair requires less than 3.5 hours?
W is a random variable with probabilities for w= 0,1 P(W = w) = {2h + k for w= 2 %3D 3k for w= 3,4 7 find the values of h and k. 10 (а) If P(W <2) = (b) Construct a probability distribution table for W. 4.
Need question d and e answers
For the three probability distributions shown, rank each distribution from lowest to highest in terms of the sample size required for the distribution of the sample mean to be approximately normally distributed. Ay 1/20 (a) (b) (c) Choose the correct answer below. (а), (с), (Ь) (с), (), (а) (c), (a), (b) (b), (с), (а) (b), (a), (c) (а), (b), (с) O o
Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,B = 0.5. Find the probability that such a battery a) Find varince
1) A discrete probability distribution is given below. 1 4 5 0,1 0,3 0,2 X p(x) Find u. Find o. 2 0,2 3 0,2 b) Find the probability that x is within one standard deviation of the mean. Compare this result with the Empirical Rule.