Question

Consider the given probability histogram of a binomial
random variable.



What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric

B. Center: 2.5
Shape: symmetric

C. Center: 2.5
Shape: slightly skewed

D. Center: 3
Shape: uniform

Answer 1

The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

$X \sim B(n,p)$

The probability that out of n trials, there'd be x successes is given by

$\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

Then the center and shape of the distribution will be 2.5.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

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