int) If x is a binomial random variable, compute P(x) for each of the following cases:(a) P(x < 3), n =7, p = 0.2P(x) =(b) P(x > 2), n = 8, p = 0.9P(x) =(c) P(x < 1), n = 3, p = 0.9P(x) =(d) P(x > 4), n = 6, p = 0.8P(x) =

According our policy we can answer only first three subpart for remaining please repost the…

Answered: int) If x is a binomial random…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Let Y be a discrete random variable with generating function 4 Gy (s) 6 – s s2 What is Var(Y) (in decimal)? Answer:
Let Y be a binomial random variable with n = 10 and p = 0.3. (a) P(3 < Y < 5) = P(3 ≤ Y < 5) = (b) P(3 < Y ≤ 5) = P(3 ≤ Y ≤ 5) =
B5. Let X₁, X₂, ..., Xn be IID random variable with common expectation µ and common variance o², and let X = (X₁ + + X₂)/n be the mean of these random variables. We will be considering the random variable S² given by (a) By writing or otherwise, show that S² (b) Hence or otherwise, show that n S² = (x₁ - x)². = Ĺ(X₂ i=1 X₁ X = (X₁-μ) - (x-μ) = Σ(X; -μ)² - n(X - μ)². i=1 ES² = (n-1)0². You may use facts about X from the notes provided you state them clearly. (You may find it helpful to recognise some expectations as definitional formulas for variances, where appropriate.) (c) At the beginning of this module, we defined the sample variance of the values x₁, x2,...,xn to be S = 1 n-1 n i=1 ((x₁ - x)². Explain one reason why we might consider it appropriate to use 1/(n-1) as the factor at the beginning of this expression, rather than simply 1/n. B6. (New) Roughly how many times should I toss a coin for there to be a 95% chance that between 49% and 510/ of my nain toon land Honda?
Give the formula for p(x) for a binomial random variable with n= 6 and p = 0.4. -.. - O'O (x=0, 1, 2 ...D p(x) = (Simplify your answers. Use integers or decimals for any numbers in the equation.)
Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X is as shown below; X 1 2 3 4 5 6 P(X=x) 1/6 1/6 1/5 k 1/5 1/6 a) Find; (i) the value of k. (ii) E(X) (iii) E(X2) (iv) Var(X) (v) P(1 X <5) b) If events A and B are such that they are independent, and P(A) = 0.3 with P(B) = 0.5; i. Find P(A n B) and P(AUB) ii. Are A and B mutually exclusive? Explain. c) In how many ways can the letters of the word STATISTICS be arranged?
(3) Let X be a random variable with p.d.f. 2k 3x f(x)= I
A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green). Determine the pmf for the random variable. In particular f(6)
2. Let the independent random variables X1 and X2 have Bin(0.1,2) and Bin(0.5, 3), respectively. (a) Find P(X1 = 2 and X2 = 2). (b) Find P(X1 + X2 = 1). (c) Find E(X1 + X2). (d) Find Var(X1 + X2).
Let X be the random variable with PMF: p(x) = k(]x – 2|+ 1), for x= -2, -1, 0, 1, 2 0, elsewhere (a) Find the value of k (b)Find the PMF of X (c) Find the mean, variance, and the standard deviation of X
Let X = b(n, and E(3x) = E(3-5x) find n.
3.Suppose that X and Y are independent random variables for which Var(X)=Var(Y)=3. Find the values of (a) Var(X-Y); (b) Var(2X-3Y+1).

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

int) If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x < 3), n =7, p = 0.2 P(x) = (b) P(x > 2), n = 8, p = 0.9 P(x) = (c) P(x < 1), n = 3, p = 0.9 P(x) = (d) P(x > 4), n = 6, p = 0.8 P(x) =