If the random variable X is uniformly distributed between 40 and 50, then P(35≤X≤45) is?

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: Let Y be a continuous random variable with mean µ, then P(Y = %3D = ) 0.25 O 0.5 O 10

A: Given that Y is a continuous variable with mean μ.

Q: a. In words, dene the Random Variable X. b. List the values that X may take on. c. Give the…

A: As per our guidelines, we are only allowed to answer three sub-parts a) Let X defines the random…

Q: Suppose X is a random variable with normal distribution. E(X)=1 and Var(X)=4 Suppose P(X<k)=0.9773…

A: The random variable X follows normal distribution with mean 1 and variance 4. Then the standard…

Q: If continuous random variable X is normally distributed with µ = 256.43 and σ = 27.11, what is…

A:

Q: Suppose the random variable X has the following probability distribution 2 1 1- 0.2 0.3 0.3 0.2…

A: Probability Distribution: It is a statistical function, describing all the possible outcomes of the…

Q: Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X =…

A:

Q: In a computer laboratory, the teacher wants to find out if there is a defective computer. Supposed…

A: Given Data: n=3 D- defective computers N- non-defective computers

Q: Assuming that X is a binomial random variable with n=20 and p=0.30, what is Pr(X=6)?

A:

Q: Suppose that a box contains 9 cameras and that 4 of them are defective. A sample of 3 cameras is…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: Suppose that the random variable X has a binomial distribution and that the success probability, p,…

A:

Q: A) Suppose that X is a random variable with if 0 < x < 2 fx(x) = otherwise

A: We have to find the var(x)  Using formula  Var(x) = E(x^2) - [E(x)]^2

Q: Suppose X and Y are independent random variables with expected values E[X] = 0, E[Y] = 0, and Var(X)…

A: We have given that  X and Y are independent random variables with expected values E[X] = 0, E[Y] =…

Q: 3. The probability distribution of random variable X is given below: 1 2 Р() 0.9 0.1 A second random…

A:

Q: What is the probability that a normally distributed random variable X is greater than 85 if ux = 75…

A: Given that, Mean = 75 Standard deviation = 4

Q: If XX represents a random variable coming from a normal distribution with mean 3 and if…

A: X represents a random variable coming from a normal distribution with mean, μ=3 Since,…

Q: Suppose X has a binomial random variable with n = 50 and p =0.4, then which one of the following…

A: we have given that,  X has a  binomial distribution with n= 50 and p= 0.4, Binomial (n=50, p= 0.4)…

Q: Given X~ N (u, 유). In words, "X is a random variable with a distribution with parameters = µ and

A:

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). i. Var(X).…

A: It is given that n=6 and p=0.55.

Q: Let X be a binomial random variable with n=7 and p=0.1, then The variance of X is 0.63 P(X>1)=…

A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

Q: Suppose f1,., En are i.i.d N(0, 1) random variables. If m < n, find the joint distribution o

A: From the given information, ξ1,ξ2,....,ξn are i.i.d N0,1 random variables. Consider, Eη1=E∑k=1nξk…

Q: Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is…

A: Given, Total no of cameras = 8 No of defective cameras = 4 No of cameras selected = 2 Let X be no of…

Q: If the random variable X is distributed according to the Binomial distribution Bin(5,0.6) then…

A: Let X represent random variable   X~ Binomial(5, 0.6)

Q: Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is…

A: This can be solved using binomial law:

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

A:

Q: If a random variable X has a Poisson distribution with P(X = 1) 2P(X = 2). What is P(X = 3)? %3D 2

A: Hence,  Option (a)  e^-1/6 , is the correct✅ choice.

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X> 6) = 0.4…

A: The mean is 5.

Q: A discrete random variable x has the the following probability distribution      X 1 2 3 4 5…

A: Introduction: For a discrete random variable X, the probability mass function (pmf), p (x) = P (X =…

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find:    i. E(X) ii.…

A:

Q: The random variable x is known to be uniformly distributed between 50 and 100. The probability of x…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: If X represents a random variable coming from a normal distribution with mean 4 and if P(X > 5.1) =…

A:

Q: suppose that X is a random variable with probability distribution.P(X=k)= 0.02k,where k takes the…

A: Given: P(X=k) = 0.02k k = 8,12,10,20 Here takes the value 8,12,10,20

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: X~ U (15 ,55 ) Find ( a ) P ( 15&lt;X&lt;25 ) =? ( B ) p ( x&gt;=25 ) =?

Q: 4. Find the mean of the probability distribution of the random variable X, which 10 P(2) = 33 and…

A:

Q: If the distribution function of a random variable is given by nl S18 o bos 4 for r

A: From the given information, F(x)=1-4x2 for x&gt;20        for x≤2 Consider, f(x)=ddxF(x)…

Q: If the random variable X has a uniform distribution between 40 and 50, then P(40<X< 45) is equal to:…

A: Given Data: X~ Uniform (40, 50)

Q: Suppose that the joint probability for random variables X and Y defined by 01 28 28 28 21 3. 28 ZH…

A: Given: The joint probability for the random variable X and Y is given as:   y=0 y=1 y=2 f(x)…

Q: 2. If a discrete random variable X follows uniform distribution and assumes only the values 8, 9,…

A:

Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). ii. Var(X).…

A:

Q: 1) Suppose waiting in line at Shoprite is uniformly distributed between 0 and 20 minutes. a) What is…

A: Consider that X is a random variable defined as waiting in line at Shoprite.Thus, according to given…

Q: The uniform distribution of a random variable X is given in the figure below. 0 1 2 X From the…

A:

Q: If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.1)=0.2,…

A: Given: Meanμ=5, P(X&gt;6.1)=0.2

Q: For independent random variables X and Y, we have var(X -Y) = var(X)-var(Y). * true False

A: the given statement is FALSE

Q: Let X be a Poisson random variable with parameter 2. (i) What is the probability P(X > 1)? (ii) What…

A: Solution: From the given information, X follows Poisson distribution with parameter 2. That is, λ=2.…

Q: Now, suppose that X is a Bernoulli random variable with success probability Pr (X = 1) = p. Use the…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

Q: If 'X' is a continuous random variable, then the expected value is given by

A: here use property of Continuous Random variable

Q: Suppose X1,X2..X10 are independent N(H,o) random variables. Z1,Z2.Z5 are independent N(0,1) random…

A: Since X~N(μ,σ2)  &amp; Z~N(0,1) therefore,          X¯~N(μ,σ2/n) &amp; Z¯~N(0,1/m)    where n = 10…

Q: Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is…

A: Given that, Box contains 6 cameras and 3 of them are defective we have to select 2 cameras

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!