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Chapter 6: Q. 9 (page 409)

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

Expert verified

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

Step by step solution

01

Given information

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

02

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)=0.001224withn=8.
Calculate the probabilityp :
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.

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