The distribution function of the random variable X is given by 0 Sx < 1 F(x) = 3 11 2 x < 3 12 .. = Find P(X<3) 7== P(X3D1)

Q: The random variable x is known to be uniformly distributed between 2 and 12. Compute the standard…

A: Given that  Distribution is uniform With parameters a= 2 , b=12

Q: According to a study, the length of pregnancy has an unknown distribution with a mean of 265 days…

A: The random variable length of pregnancy follows normal distribution. The population mean is 265…

Q: Suppose that I am interested in the number of mutations at ONE d location for 100 patients.…

A: Given information: The variable of interest is the number of mutations at one fixed location for 100…

Q: Suppose you extract 3 balls at random from an urn with 3 blue balls, 3 red balls and 3 yellow balls.…

A: Random Variable: In probability theory, a random variable is a variable whose values depend on…

Q: A large population (consisting of measurements of diameters of ball bearings) has mean u and…

A: Answer is explained below

Q: The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation…

A: Given data: Mean = 60 kg SD = 10 kg Weight on truck = 650 kg Number of goats = 10

Q: dom variable x is uniformly distributed between 45 and 150:  To FOUR decimal places, what is the…

A: The uniform distribution is a probability distribution in which all the possible outcomes of the…

Q: The time required to repair a machine is an exponentially distributed random variable with mean of…

A: Given: λ=0.5

Q: 1. If the random variable X from a distribution with mean 50 and variance 10 and y = 0.8x + 15. Find…

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

Q: The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed…

A:

Q: The time to fly between New York City and Chicago is uniformly distributed with a minimum of 80…

A:

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

A:

Q: A random variable X has chi-square distribution with 3 degrees of freedom. Describe an al- gorithm…

A: Simulation means generating a random sample from a particular underlying distribution without any…

Q: population has a mean equal to 80 and a standard deviation equal to 6; also, suppose that the…

A: Population has a mean equal to 80 and a standard deviation equal to 6. i.e. µ=80 and σ=6, Random…

Q: If n independent random variables Xi have normal distributions with the means μi and the standard…

A:

Q: Suppose that X1,X2,X3 distribution with mean 20, 25, 40 and standard deviations 4, 9, 16…

A: Given; X1~(μ1=20, σ12=42)X2~(μ2=25, σ22=92)X3~(μ3=40,…

Q: From a population that is normally distributed, a sample of 20 elements is selected and the standard…

A: From a population that is normally distributed, a sample of 20 elements is selected and the standard…

Q: If second moment of a random variable is equal to 13 and the first moment is equal to 2. Then, the…

A:

Q: The taxi and takeoff time for commercial jets is random variable x with a mean of 8.4 minutes and a…

A:

Q: Suppose we wish to estimate the average height µ of Saguaro cacti in the Sonoran desert by observing…

A: Given :  n = 100 Height is uniformly distributed on interval [10, 30]

Q: a) What is the probability that a person selected at random spends more than 60 minutes on social…

A: time spent follows normal with mean 75 mins and standard deviation of 10 mins A p(time spent &gt;…

Q: According to one study among a certain people group, pregnancy lengths are approximately normally…

A: Let X be the number of premature babies born to these mothers.

Q: Suppose the random variable X foliows a normal distribution with mean 80 and variance 100. Then the…

A:

Q: For mode of Beta Distribution with parameters Alpha and Beta, why are the bounds when alpha and beta…

A: Beta FunctionIt is an area function and defined by a definite integral

Q: Suppose that a day's production of 750 manufactured parts contains 60 parts that do not conform to…

A: Given that Toral number of parts = 750 Number of non-confirm parts = 60

Q: If all possible samples of size n=30 are selected from a population with H=80 and o=10 and the mean…

A: mean = 80 Standard deviation = 10 Sample size = 30

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

A: From the provided information, 1) Mean (µ) = 274 days Standard deviation (σ) = 14.2 days X~N (274,…

Q: Suppose that when you call OIT, the length of time you have to wait on hold before talking to a live…

A: Given: Yi ~ U (0, 10)  i = 1, 2, 3 Y = max {Y1, Y2, Y3} PY≤5 is required to be calculated.

Q: Let Xi. X2 --- Xn be a random sample from the Poisson _ 8*e¯® distribution . with pmf fix;o)=. Find…

A:

Q: A continuous random variable x is uniformly distributed between 45 and 150:  To FOUR decimal…

A: According to the given information, we have A random variable X is uniformly distributed between 45…

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A:

Q: esting experiment, 25 subjects are selected randomly and their reaction time, in seconds, to a…

A: As the population variance, i.e., standard deviation is known, we will use the z test.   The…

Q: Suppose that X1,X2,...,X200 is a set of independent and identically distributed Gamma random…

A: Given: Where i = 1 to 200

Q: A computer of random numbers with a uniform distribution between 0 and 1 manufactures. A standard…

A: The expectation of the random variable X having the uniform distribution is, E(X) =(a+b) /2 =(0+1)/2…

Q: Since the weight of most of the miniature poodles is normally distributed with an average of 8 kg…

A:

Q: 13. If X and Y are independently distributed as Poisson variates with parameters (means) and u…

A:

Q: Suppose x has a distribution with μ = 84 and σ = 8.   (a) If random samples of size n = 16 are…

A: Given that, Suppose x has a distribution with μ = 84 and σ = 8.

Q: A distribution with unknown mean u has variance equal to 1.5. Use central limit theorem to find how…

A:

Q: Suppose the traffic light at a specific intersection changes to green at 4-minute intervals. If a…

A:

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly…

A: It is given that the waiting times between a subway departure schedule and the arrival of a…

Q: A company manufactures bulbs. The probability of getting a defective bulb is 0.055. A sample of 100…

A: Given: n = 100 p = 0.055 X = a non defective bulb P(X ≤ 3) = ?

Q: The number of telephone calls arriving at a switchboard during any 20-minute period is known to be a…

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

Q: The distribution of the scores on a certain exam is N(50​,5​),which means that the exam scores are…

A: Mean(µ) = 50Standard deviations (σ) = 5X ~ N (µ, σ )= N(50, 5)

Q: The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation…

A: To find the probability that the total weight exceeds the maximum weight

Q: Suppose x has a distribution with μ = 62 and σ = 8. If random samples of size n = 16 are selected,…

A:

Q: how to find the critical value for the two-tailed test with a=0.10. Thanks for the help!

A: GivenThe test is two tailed testsignificance level(α)=0.10

Q: If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time,…

A: Solution: From the given information, X follows gamma distribution with mean of 2 and a variance of…

Q: The variance of a binomial distribution cannot exceed Or Let x be a binomially distributed random…

A: As per our guidelines, we are allowed to answer first question only. Thanks   Let n be the sample…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.