Let X be a random variable with p.d.f. 4k 1< x<10 f (x) =< find k. O.W

Q: Let X be a random variable that takes on values between 0 and c. That is, P(0 < X< c) = 1. Show that…

A: Solution-: Let, X -be a continuously random variable takes values between 0 and c i.e. P( 0≤X≤c)=1…

Q: 82. Let X - Expo(A) and let Y be a nonnegative random variable, discrete or continuous, whose MGF M…

A: Given problem is :

Q: 18. Let the random variables Y, X, X, .. be independent, suppose that YE Fs(p), where 0 < p < 1, and…

A:

Q: Q21. Define moment generating function of random variables. Show that the moment generating function…

A:

Q: 7. Let (r1, 12, ., T„) be a random sample from a normal distribution with mean u and a variance o?.…

A:

Q: Let X be a random variable with p.d.f. [(k +4)x 1<x<5 f(x) = , find (1) k (2) Var(x) O.W

A: Let X be a random variable with p.d.f. fx=k+4x      1&lt;x&lt;50                  otherwise   1) We…

Q: If x is a random variable (3,x-bn), find the smallest value for n so that it achieves 0.8 <(1 2 p(x)…

A: If a random variable X follows binomial distribution. X~Bx, n, p=13 and PX≥1&gt;0.8 We need to find…

Q: 62. Let X₁, i = 1, 2, ... be independent random variables all distributed according to the pdf fx…

A: The pdf is given as,A random variable is also defined here.The objective is to compute the variance…

Q: Show works! Let Xn be a random variable and mn be a median of Xn, n =1,2,.... Show that if Xn →d X…

A:

Q: Suppose that the random variable x f (x) = { Set-2 0, for x < 2 el sewhere Determine the 75th…

A: Solution: From the given information, the probability density function of X is

Q: is known that 26% of adults in the uk use a certain app, A Researcher selects a random s lults in…

A: X number of adults in sample who use app will follow binomial distribution with n = 5000 and p =…

Q: 1. For each random variable X below, describe the posible values and label as discrete or…

A: a) Number of phone calls received by a company can be countable. They are discrete values that can…

Q: 15. Suppose we have a continuous random variable over -2 < x < 5. What is the mean of X? Round-off…

A:

Q: (42) Let X be a random variable with p.d.f. ke 0<x<0 f(x) ={ find k. O.W

A: Given : f(x)=ke-23x                    0&lt;x&lt;∞

Q: Problem In Exercise 5.3, we determined that the joint probability distribution of Y₁, the number of…

A:

Q: Let X1 , X2 , X3  be  a collection of independent discrete random variables that all take the value…

A: a)   Sampling distribution of proportion:   From the central Limit theorem, the sampling…

Q: if x be a random variable belong to geometric distribution with mean= 3 then p(x-D2) is

A: It is given that mean (1/p) is 3.

Q: 6. [Maximum mark: 5] The following table shows the probability distribution of a discrete random…

A: Thank you 😊

Q: n F. De X(w) i- -X(w)

A: the distribution function is also known as a cumulative distribution function.shows that the…

Q: 48) Let X be a random variable with p.d.f. 1 -8x 0<x<00 k f(x)= , find k. O.w

A:

Q: 8. Let X1, X2 be i.i.d. random variables from a distribution with p.d.f xe r>0 fx(x) = otherwise and…

A: The distribution is given by, fX(x) = xe-xx&gt;00Otherwise So,  P(X≥x)=∫x∞fX(t) dt=∫x∞te-t…

Q: If the distribution function of X is given by for x <2 for 2sx<3 36 for 3sx<4 for 4sx <5 36 for 5 sx…

A: A discrete random variable has only discrete values which can be counted. For example a random…

Q: 4. At Jessica's doctor's office, patient wait times can be a topic of interest. Let X be the time in…

A: Given  X~N(15,25)  Mean=μ=15, variance=σ2=25  Note: This probability value calculated from standard…

Q: Let x be the mean of random sample size (n) from distribution N(u, 10). Such as P(x- 1<u<x+1)%3 0.90…

A: Given that, Population variance σ2=10 Population standard deviation σ=10=3.1623 Margin of error E=1…

Q: (2) Let X be a random variable with p.d.f (3x² +6x) [>x>0 S(x) =- , then p(x < 1) is O.W (a) 1 (b) 2…

A:

Q: Assume that the sample is a random sample from a distribution that is reasonably normally…

A: We have given n = 20 Degree of freedom (df) = n - 1 = 20 - 1 = 19 t = -0.68

Q: 11. The probability distribution function, P(X-x) of a discrete random variable X is defined as for…

A: Part a: We have been given the probability distribution function as, P(X=x)=27       for x=047…

Q: (7) Let X be a random variable with p.d.f. 1<x<0 f(x) = { ,find k. O.W

A: Reviewing information, X is a r.v. with pdf,f(x)=kx-2                          1&lt;x&lt;∞0…

Q: = 4 and V(X) = 1, which of the following statements Let X be a continuous random variable that only…

A: Given mean=mu=4, variance=sigma^2=1 We solve by using chebyshev's inequality…

Q: 4. Let X be a continuous random variable with probability distribution +k 0≤x≤3 otherwise f(x) 0…

A:

Q: (1) Let X be a random variable with p.d.f. e 0<x<0 k ƒ(x) = < find k. O.W

A: Let X be a random variable with pdf  fx=1ke-8x        0&lt;x&lt;∞0                         otherwise…

Q: 6) Suppose the m.g.f. of the r.v. X is given below: MC) : (44/120o) +(4s /no) exp (t)…

A:

Q: Show that the CDF of a geometric random variable with parameter p can be expressed as

A:

Q: For discrete random variables, one simple procedürê iš tõ list the probabilities of all pos- sible…

A: A probability distribution depicts the expected outcomes of possible values for a given…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.