Q.1 The probability that a patient with a heart attack dies of the attack is 0.04 (i.e., 4 of 100 die of the attack). Suppose we have 5 patients who suffer a heart attack, what is the probability that all will survive? Find the mean and variance.

Q: Let X, Y, and Z have means 1,2, and 3, respectively, and variances 4,5, and 9 respectively. X, Y,…

A: From the provided information, Let X, Y and Z have means 1, 2 and 3, respectively, and variances 4,5…

Q: Suppose X is a random variable with mean 10 and variance 25. Suppose Y is a random variable with…

A: Solution: From the given information, mean of X is 10, variance of X is 25, mean of Y is 20 and…

Q: If X is normal random variable with mean 3 and variance 5, then find the probability P(2 < X <6).

A:

Q: c) Find the mean and variance of the statistic Y, if i) _Y = 2=1X. ii) Y=1 4X₂² X3 d) if y = X₁² +…

A:

Q: If E (X) = ? and var(X) = ÷, find: 8 5° (a) Expected Value, E(2X – 3). (b) Variance, var(2X – 3). -

A: a)E2X-3=E2X-E3=2EX-3E1=258-31=108-3=54-3=5-124=-74

Q: If   n =41  and    p=0.6  then the variance of the binomial distribution is

A: X~B(n,p)P(X=x)=nxpx(1-p)n-x                     x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: Let X and Y be identically distributed with mean 3 and variance 25. (a) If X and Y are uncorrelated,…

A: Let X and Y be identically distributed with mean 3 and variance 25 . Therefore, EX=3,  EY=3, VarX=25…

Q: The probability of drawing from a normally distributed variable an observation that is exactly equal…

A:

Q: 8. If Y is Normally distributed, and p(y200)=0.03 then the values of the mean and variance of Y,…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Suppose Y follows binomial distribution with n-15. If the variance of X is 3.6, what are the…

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

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: If a random variable X has mean 3 and variance 4, then E(X² + 3X + 2) is

A: GivenMean=E(X)=3Variance=V(X)=4

Q: Example 9.19 Given that a random variable X is distributed normally with a mean of 70 and a variance…

A:

Q: Suppose that X and Y are independent random variables having the joint probability distribution:…

A: Joint Probability Distribution: Let there are two random variables X and Y. Then the joint…

Q: Suppose X takes the value 1 with probability P, and the value 0 with probability (1-P). The…

A: Variance formula is:

Q: You assume equal variances in a two-sample t-test. n1 = 12 and d.f. = 18. What is n2?

A: It is given that n1 =12 and df =18.

Q: 3) In a particular Statistics examination, approximately 75% of the students pass their examination…

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

Q: 1. Suppose that R has a Binomial(100, .25) distribution. Find the value of E[R^2]. Round to the…

A:

Q: Suppose you take a stock returns from the Excelsior Corporation and the Adirondack Corporation from…

A:

Q: Ex: The following data represent the number of damaged pieces of spare parts for the production of a…

A: We have given the data about the probability distribution.

Q: a) What proportion of purchases was paid by debit card? b) Find the probability that a credit card…

A: Solution:

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 10% of the tubes produced by a machine are defective. If a sample of 100 tubes is inspected…

A: (a)   Obtain the expected proportion of defectives in the sample.   The expected proportion of…

Q: d. The probability that the child will be between 5.27 and 5.67 years old is e. If such a child is…

A: Given Information: Age of children in kindergarten on the first day of school is uniformly…

Q: (D) If a variable has a Binomial distribution, then the number of possible outcomes depends on the…

A: (D) we know that,   For a binomial random variable there will be only two possible outcomes success…

Q: QUESTION 2: The manufacturer of a balloon claims that there is 4% chance that the balloon contains…

A: Let X be the number of balloons containing some holes. Given: Number of balloons (n) = 15…

Q: 6. If x~N(H, o2), which of the following is true about the distribution of x? A. The mean of x > x…

A:

Q: QUESTION 6 If 6 of 24 remote controls were defective, then the mean of the probability distribution…

A: 6 out of 24 remote are defective.

Q: Suppose x is a random variable best described by a uniform probability distribution with c=7 and d=…

A:

Q: Which of the following does not belong to the steps in finding the variance of probability…

A: Variance : A applied mathematics measure of the dispersion between values in an exceedingly…

Q: 2. The following table gives the probabilities that a probation officer will receive 0, 1, 2, 3, 4…

A:

Q: 3. The number of adults living in homes on a randomly selected city block is described by the…

A:

Q: Ex: The following data represent the number of damaged pieces of spare parts for the production of a…

A: We have given the following  data  for the production of a company and the probability distribution…

Q: 10 A nature reserve has one bird of an uncommon species which frequents the large expanse of reed…

A:

Q: Suppose we are given a sample of 60 observations from a distribution whose mean is 0 and variance is…

A: The sample size n is 60, the mean is 0 and the variance is 3/5.

Q: The variance of a binomial distribution for which n = 100 and p = 20 is: O 100 80 20 O 16 A Moving…

A:

Q: 4. Which of the plots below show a zero correlation between random variables x and y? C. c А. а B. b…

A: Given :  There is four graph shown in question. We need to find 4.which of the following plot below…

Q: For what values of k canf(x) = (1 − k)kx serve as the values of the probability distribution of…

A: Given that  the probability distribution of a random variable x is,   From the probability…

Q: An analysis of variance produces SSb=35,SSw=15 and a F ratio with the df=1,5.What is the F ratio?

A:

Q: 21 - It is known that the probability of winning in the matches played by Galatasaray Professional…

A:

Q: Find E(X), Var(X), and the standard deviation of X, where X is the random variable whose probability…

A:

Q: (D) If a variable has a Binomial distribution, then the number of possible outcomes is always two.…

A: We have given that two statement one is related to Binomial distribution and other is related to…

Q: An analogue signal received at a detector, measured in microvolts, is normally distributed with mean…

A:

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: 6- The Variance of X, is a) o? b) d)

A: we want to find value of the variance of xbar n is ...

Q: 1) The population of SAT scores is normal with u 500 and a- 100. If you get a sample of n 25…

A: Mean(µ) = 500 Standard deviations (σ) = 100 n = 25

Q: 2.Find the variances if the standard deviation are: .s = 7.3 s2 %3D S- 69

A: a. s=7.3 s2=7.32   =53.29

Q: If x is a binomial random variable with n = 10 and p = 0.8, the standard deviation of x is…

A:

Q: 2. Find the variance and the standard deviation of the probability distribution of the random…

A: NOTE: As per the guidelines, we are supposed to solve the first question…

Q: If x has the binomial distribution with mean 25 1 Find, P X<μ- 20). 5 and probability of success…

A: