Question: Assume X is a binomial random variable with parameters n and p. Show that Var(X)=np(1-p)

Assume X is a binomial random variable with parameters n and p. Show that Var(X)=np(1-p)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Let X be a binomial random variable with parameters n and p. Show that p)n+ n + Dp

Q:

2.3 Show that Xn xa n x px(1 p)nx 1 B (a, n a 1) p 0 ya1(1 y)na dy for any 0

Q:

8. If X is a binomial random variable with parameters n and p, where 0 p b. As k goes from 0 to n, P{X = k} first increases and then decreases, reaching its largest value when k is the largest...

Q:

8. If X is a binomial random variable with parameters n and p, where 0 (b) As k goes from 0 to n, P{X = k} first increases and then decreases, reaching its largest value when k is the largest integer...

Q:

If X is a binomial random variable with parameters n and p, where 0 (b) As k goes from 0 to n, P{X = k} first increases and then decreases, reaching its largest value when k is the largest integer...

Q:

A Z GEON IES W S X E Alt 45 G 6 U S WI (b) P(X5)= B H (c) P(2 X 5) = 4-3-2-1 f(5)=(5)(0.3) (0.7)0 5-4-3-2-1 5-4-3-2-1 N 3-2-1 F T M 0 S 2 2 J Alt Gr 000 Fast Charging Pri Sc JUL Ctrl = (c) f(2)= (a)...

Q:

answer all questions with explanation (1 point) Suppose X is a binomial random variable with parameters n and p given below. Compute the indicated probability in each of these cases. a) If n = 5 and...

Q:

Suppose X is a binomial random variable with parameters n and p . That is, the PMF of X is given by Find the PMF of a new random variable generated through the transformation, Y= nX. P kp*(1-p)-,...

Q:

=+for any 0 4p41. The integral on the right is called an incomplete beta integral and written as Ipa; n a 1. Thus, if X is a binomial random variable with parameters n and p, the probability that X...

Q:

1. Let X be a binomial random variable with parameters n and p. Using momentgenerating functions, find the probability mass function of Y = n X.

Q:

Explain briefly the operation of the present international monetary system.

Q:

Find the derivative of tan x with respect to x sin x 1 2 (2014, 09) at x: =

Q:

The following ordered data listing shows the data rates for cellular phones for a telephone company at an airport. a) Calculate the measures of central tendency for the list of unclustered data. b)...

Q:

In Medical Sociology, we see that African-American males tend to live somewhat shorter lives than their male counterparts in various races. Based on researchers, what are some factors that may...