Question 5. a) A random variable x has a Binomial distribution with n=12. Given that p =0.25, find (i) p(x < 5) (From the table III OR IV OF Appendix A) (ii) p(x ≥ 7) (From the table III OR IV OF Appendix A) b) Given that p(x = 0) = 0.05, find the value of p to 3 decimal places. c)Given the variances of x is 1.92, find the possible value of p.

Q: "A student committe has 6 members - 4 undergraduate and 2 graduate students. A subcommittee of 3…

A: Given data 4 under graduate 2 garduate 6 total Select 3 at random for comittee

Q: Got a Pet? In a neighborhood of 95 homes, 35 have pets. Suppose that 12 homes are selected at…

A: Total No. of Homes(N)=95No. of homes have pets(M)=35No. of homes are selected at random(n)=12Let "X"…

Q: 6. Use the following equation to generate a random number for 2 times. Zi = (a Zi-1 + c) (mod m)…

A:

Q: 3. A random sample is taken from a distribution with an unknown mean, u and a standard deviation of…

A:

Q: X is a random variable having  normal distribution  , mean  = 15 and standard deviation = 0.6.…

A:

Q: 4. NT follows an extended truncated negative binomial distribution. You are given part of its pmf:…

A: Given: NT follows extended negative binomial distribution pT0= 0 pT1= 0.6195 pT2=0.1858 pT3=0.0836

Q: X is a Gaussian random variable with the mean value of 10a and the standard deviation of 4a. a) P(a…

A:

Q: 3 4. 16 = (V = (-_)} = a ||

A: a1n=an

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: DO ERher 4 Or 5) If the random variable X has a Poisson distribution such that P(X=1) = P(x=2), find…

A:

Q: All the possible random samples of size n = 5 are selected from a population with  and  and the mean…

A:

Q: A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and…

A: Let us first test whether “the data indicate that the die is unbalanced”, using a Chi-square test of…

Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time taken by a mechanic to…

Q: Suppose we wish to study the mean u of a population r1,..., IN through simple random sampling (with…

A: Given information: The investigator is specially interested to study the mean µ of the population…

Q: Question 8

A: Explanation: Conditions to use Z-test for a proportion: Random condition:  Sample should be selected…

Q: Consider a Uniform Distribution U(19, 54), compute its standard deviation to the nearest thousandth.

A:

Q: A sample with 60 observations has supposedly come from the exponential distribution with a mean of…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Assume that hybridization experiments are conducted with peas having the property that for…

A: It is given that the probability that a pea will have green pods is 0.25 and the group of offspring…

Q: a) Let X₁, X2, X3,..., X, be a random sample of size n from population X. Suppose that X follows an…

A: Given that, X follows  exponential distribution with parameter θ.

Q: According to a study, the length of pregnancy of a randomly selected female has an unknown…

A: GivenMean(μ)=271standard deviation(σ)=14.8sample size(n)=36

Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time it takes a car mechanic to…

Q: 15. A random variable Y follows a Standard Beta distribution with a= 2 and B= 8 Find each of the…

A:

Q: he U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National…

A: Solution: Given information: n1=8820 Sample size of old faithful eruption for the  years 1948 to…

Q: Choose from group A what suits her from group B: group A group B 1): The total area under a normal…

A: 1) Total area under the normal curve is equal to 1. Thus, the total area under a normal distribution…

Q: Suppose that a random sample of size 100 is to be selected from a population with mean 50 and…

A: n=100Mean=50Standard deviation=6

Q: 37. If X is a random variable having the standard normal distribution and Y = X2, show that cov(X,…

A: Solution:-Certainly! Here's the explanation with all equations transformed into plain text for use…

Q: 15. A random variable X has a mean ? = 10 and a variance ? 2 = 4. Using Chebychev’s inequality,…

A: Solution

Q: Given = 13, complete the chart and fill in the blanks. Nine points.

A: x =13 x1+x2+x3+x4+x5+x66=1354+x66 =13x6 =24

Q: 8. The time (in minutes) that it takes a car mechanic to replace a car battery is a random variable…

A: The objective of the question is to find the probability that the time taken to replace a car…

Q: Determine the value of K

A: Given information: fx=K1+x2, -∞&lt;x&lt;∞ Condition for valid density function, ∫-∞∞fxdx=1.

Q: A random sample of size 18 is drawn from a normal population. What will be the judgment at 5% level…

A: Given information: μ=30n=18x¯=32s=6.4 Test statistic: t=x¯-μsn  =32-306.418  =1.326

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: We have given that  X~N( 0 , 1 )  mu= 0 , sigma = 1 Z-score =(x-mu)/sigma

Q: 4) A random variable X takes follows a binomial distribution B(n, p). It is known that E(X) = 36 and…

A:

Q: 8)You are told that the distribution of television weights is normal, with a mean, u of 11.4…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Sample of n = 9 individuals is selected from a population with p = 60 and o = 6, and a treatment is…

A: Given that, Sample size n=9 Population mean μ=60 Population standard deviation σ=6 Sample mean M=63

Q: Consider an object that is equally likely to switch temperature readings, under different conditions…

A: Given: Object is equally likely to switch readings between any of the 7 values Y is the temperature…

Q: A population with u = 45 and o = 10 is standardized to create a new distribution withu= 100 and o =…

A:

Q: Q7. A single observation of a r.v. X having an exponential distribution (with mean 0) is used to…

A: Decision rule is given by Ho is accepted if and only if X us less than or equal to 2.

Q: 4-56. Assume that X is normally distributed with a mean of 5 and a standard deviation of 4.…

A:

Q: Problem : What is the probability of having not more than 20 failures if p= 0.14?

A: We have given that  Number  of trials n =100 Success of probability p=0.14

Q: Number 1: The serum cholesterol levels of a population of 12 to 14 year olds follow a normal…

A: Given,sample size(n)=9mean(μ)=162standard deviation(σ)=28