If a random variable X has the x² distribution with degree of freedom 13. Then P(4.107 < X < 9.299) = 0.34 0.24 0.45 0.19

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: If the random variable Z has a standard normal distribution, then P(1.17≤Z≤2.26) is?

A: Given:   The random variable Z has a standard normal distribution.

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

A:

Q: If X represents a random variable coming from a normal distribution with mean 3 and if P(X > 4.6) =…

A: From the provided information, Mean (µ) = 3 P (X &gt; 4.6) = 0.3

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of…

A: Given that: P (-2.21 &lt; Z &lt; -1.39)

Q: Consider the following discrete random distribution. x P(x) 0 .15 1 .20 2 .20 3 .25 4 .20 What is…

A:

Q: Suppose a random variable X has the Poisson distribution witha = 3.5. Find each of the following.

A: Let X denote the Poisson distribution with parameter (a = 3.5) The probability mass function of X…

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.72, then %3D P(Z <…

A: Therefore,

Q: obalility distribution of a random variable X is given. x            10 11 12 13 14 15 p(X=x)…

A: Given that  Probability distribution X 10 11 12 13 14 15 P(X)  18 18 18 28 18 28   We know…

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y&lt; 260 has the…

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

A:

Q: The random variable X has a binomial distribution with n = 6 and p = 0.3. Calculate: P (X 2 5)

A: Givenn=6p=0.3x~Binomial(n=6,p=0.3)P(X=x)=(nx)×px×(1-p)n-x ;  x=0,1....,n

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Given Data: Y is the random variable Mean( Y)=250 Standard Deviation (Y)=50   Y~ Normal (250, 502)

Q: Suppose that X is a normal random variable with unknown  mean μ and known variance σ2 . The prior…

A: Given that X is a normal random variable with unknown mean μ and known variance.

Q: Suppose that the random variable X has a geometric distribution with a p = 0.4. Calculate the…

A:

Q: Suppose a random variable x is best described by a normal distribution with = 60 and o=4. Find the…

A: The mean is 60 and the standard deviation is 4.

Q: Assuming we have a uniform distribution, X, between 8 and 19, calculate the probability that a…

A:

Q: 5. For a standard normal distribution, what is the probability that z is less than 1.25? A) 0.8944…

A: (5)  Let Z be the random variable from standard normal distribution with mean = 0 and standard…

Q: A random sample of 50 is taken from a population with the following distribution: Pr (Y) 0.4 0.6 Y…

A:

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Suppose a random variable x follow a normal distribution of N[0,( 1 3 ) 2 ]. Let z = 9x 2 , what is…

A: It is given that, x follows a normal distribution of N[0, (1/3)2].

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 <…

A: The Random variable Z follows a standard normal distribution We need to calculate

Q: The probability of an adult in Australia having hazel colored eyes is 20%. If a simple random sample…

A: Solution

Q: If Z is a random variable from a standard normal distribution and if P(Z> c) = 0.22, then P(Z < -C)…

A: Z is a random variable from a standard normal distribution.

Q: Consider that a random variable Y follows a uniform distribution bounded between 7 and 31. a) What…

A:

Q: Let X be a normal random variable with mean μ=10and standard deviation σ=2.Find the following…

A: It is given that the random variable X follows normal distribution with mean µ as 10 and standard…

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

A:

Q: Suppose that random variable t follows a Student t distribution with degrees of freedom v = 20. E(t)…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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

A:

Q: If a random variable X has the gamma distribution with a = 2 and B= 1, find P(2.1<X< 2.6).…

A: Given, A random variable X has the gamma distribution with a = 2 and B = 1

Q: Suppose a random variable X follows a Bernoulli distribution with parameter p = 0.6. Find its…

A: The formula to obtain the standard deviation of the Bernoulli distribution is, Where p is the…

Q: Suppose that the random variable z, shown below, represents the number times . P(x) represents the…

A: a) The random variable x represents the number of times a randomly selected person having received…

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given Information:  Mean (u) = 62 kg  Standard Deviation (s) = 9 kg  Sample size (n) = 70  Sample…

Q: The following is a probability distribution for a discrete random variable X. P (x) 0.4 0.6 The…

A: From the provided information, x 0 1 P(x) 0.4 0.6

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A: According to the given information, we have X follows discrete uniform distribution with parameters…

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: Let X be the random variable with the following distribution: x: 1 2 3 4 5  P(X=x): k 0.04 0.3 0.2…

A:

Q: Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10.…

A:

Q: A random sample of size 20 from a normal population gives the sample standard deviatio of 6. Test…

A: Any assumption about the parameter or probability function is known as hypothesis testing. For the…

Q: Given a random variable Z with a standard normal distribution, calculate the following probabilitie…

A: Given that  The random variable Z follows a standard normal distribution.

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A:

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 < Z…

A: According to the given information, we have P(-2.21&lt;Z&lt;-1.39)

Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

A:

Q: Let x be a normal random variable with its mean equal to 40 and standard deviation equal to 5. Find…

A: here given , x be a normal random variable with mean 40 and standard deviation 5, here use standard…

Q: If X does not have a normal distribution, which of the following is true about the shape…

A: This is based on central limit theorem.