Question

T6.9. The figure shows the probability distribution of a discrete random variable X. Which of the following best describes this random variable?

(a) Binomial withn=8,p=0.1
(b) Binomial with n = 8, p = 0.3
(c) Binomial withn=8,p=0.8
(d) Geometric withp=0.1
(e) Geometric with p = 0.2

Short answer

Binomial with n = 8, p = 0.3. So, the option(b) is correct.

Step-by-step solution

Given information

The probability distribution of a discrete random variable $X$. To find the random variable in the given figure.

Explanation

a geometric distribution is known as a binomial distribution. Because the largest bar in the following histogram is at $X=1$
The probability determined by:
$P(X=7)=0.001224$with$n=8$.
Calculate the probability$p$ :
$binompdf(8,0.1,7)=0.00000072$
$binompdf(8,0.3,7)=0.00122472$
$binompdf(8,0.8,7)=0.33554432$
Note that: $p=0.3$, then the probability matches the probability in the calculator.

So, the option(b) is correct.