Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution. Find P(X-8≥6).

Q: A computer encoder makes an average number of 5 errors per page. Suppose he/she is asked to encode a…

A: pmf of poisson distribution is = f ( k ) = e^-k  k^x / x!where       k  = parameter of the…

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

A:

Q: P b. 0.9 C. Od. 0.5

A: It is an important part of statistics. It is widely used.

Q: If 40% of all commuters ride to wirk in carpools, find the probability that if 8 workers are…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If random variable X has a binomial distribution with 18 and P(success) 0.3, find the mean of X.

A:

Q: The average number of work emails received in a day is 27.  If the variance is known σ2 = 3.45…

A: GivenMean(μ)=27vatiance(σ2)=3.45standard deviation(σ)=3.45=1.8574

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A: Step 1: Given that x follows binomial distribution with mean 6 and variance =4.2 That is,…

Q: Given a random variable X with expected value μX and variance σ2X, find the expected value and…

A: It is given thatE(X)=μXVar(X)=σX2

Q: Q/ The probability distribution of random variable X is: 3. P(x) 0.1 0.3 0.5 0.1 iTY-X+2X Find: 1.…

A: Given Y= X2+2X So we find Y for every X X 0 1 2 3 Y 0 3 8 15 P(Y) 0.1 0.3 0.5 0.1

Q: Consider two random variables, X and Y, such that Y =-4X +20. The mean value and the variance of X…

A: The correlation is the relationship between two variables. It can be measured using the correlation…

Q: Find the variance of the random variable x ?

A:

Q: If X is binomially distributed with mean 3.20 and variance 1.152, find the complete binomial…

A: Binomial distribution : - If X follows Binomial distribution with parameter n and p then probability…

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

A:

Q: A bank manager sees an average of 5.4 new clients in her office every day. If the clients arrive at…

A: We have given that  Rate of arrival = λ = 5.4/dayX ~ Poisson (λ)

Q: If the variance of a binomial distribution is 6 and probability of success in one trial p = 0.5,…

A: Given that, Variance = 6 Probability, p =0.5 Number of trials, n = 24

Q: Q3: A business measurement is a random variable defined by a normal distribution. The variance of…

A: The variance of this population is 2 .The sample variance for 21 randomly selected observations from…

Q: A random variable Z is normally distributed with mean and variance are 0 and 1 respectively.…

A: Solution

Q: The experiment is to toss two balls into four boxes in such a way thát each ball is equally likely o…

A: It is given that the, There are 2 balls and 4 boxes. The experiment is to toss two balls into 4…

Q: A large insurance company indicates that 78% of the policy holders have at least one health issues…

A: As the variable, policy holder with health issues has only two given outcomes, 1 is assumed for…

Q: Assume that you have a random variable X which is binomially distributed, and someone told you that…

A: Assume that you have a random variable X which is binomially distributed, andsomeone told you that…

Q: Q3: The average number of bicycle accidents at on the road is 5 per week. 1- What is the probability…

A: The average no. of bicycle accidents on the road can be modeled using Poisson Distribution. i.e.,…

Q: A flight Instructor claims that the chance that his students will be able to fly a plane before the…

A: INTRODUCTION : Binomial Distribution: A discrete random variable x is said to follow binomial…

Q: A surgery has a success rate of 90%. Suppose that the surgery is performed on three patients Graph…

A: Let X be the random variable from binomial distribution with probability of success rate (p) = 90% =…

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A:

Q: the probabilities that a batch of 4 computers will contain 0,1,2,3, and 4 defective computers are…

A:

Q: A random variable follows a binomial distribution with a probability of success equal to 0.68. For a…

A:

Q: Let X be a random variable with X -3 and oz = 5. Find the mean and the variance of Y = -2X -3

A: