Question

Identifying a binomial experiment

Answer 1

Answer:

Step-by-step explanation:

$\text{This experiment is a binomial experiment}}$

$\text{ The outcome of general = 0.35}$

$So; If$ $X \sim Binomial (n = 3,p= 0.35)$

$Then;$

$Mean,$ $E(X) = np$

$E(X) = (3)(0.35) \\ \\ E(X) = 1.05$

$\text{Standard deviation:}$

$\sigma= \sqrt{np(1-p)} \\ \\ = \sqrt{(3)(0.35)(1-0.35)} \\ \\ =0.826$

$Thus;$

$\text{Let X be the number of card selections with outcome "General."}$

$\mathbf{ Then \ X \ is \ a\ binomial \ random \ variable \ with \ mean \ E(X) \ = \ 1.05}$

$\mathbf{and \ standard \ deviation = 0.826}$