The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose eight adults over age 40 are chosen at random from the population; let Y denote the number of adults with mild myopia. Which of the following can be used to find the probability that 3 of them have mild myopia? [Select all that apply (i.e. you may select 1 or more answers)] OA. pbinom(3, 8, 0.27) OB. dbinom(3, 8, 0.27) OC. 1-pbinom(3, 8, 0.27) OD. 56(0.27) 5 (0.73)³ DE. 3(0.27)³(1-0.27)5 OF. (0.27)³ (0.73)5

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The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose eight adults
over age 40 are chosen at random from the population; let Y denote the number of adults with mild myopia.
Which of the following can be used to find the probability that 3 of them have mild myopia? [Select all that apply
(i.e. you may select 1 or more answers)]
A. pbinom(3, 8, 0.27)
OB. dbinom(3, 8, 0.27)
OC. 1-pbinom(3, 8, 0.27)
OD. 56(0.27) 5 (0.73)³
OE. 3(0.27) ³ (1 - 0.27)5
OF. (0.27)³ (0.73)5
Transcribed Image Text:The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose eight adults over age 40 are chosen at random from the population; let Y denote the number of adults with mild myopia. Which of the following can be used to find the probability that 3 of them have mild myopia? [Select all that apply (i.e. you may select 1 or more answers)] A. pbinom(3, 8, 0.27) OB. dbinom(3, 8, 0.27) OC. 1-pbinom(3, 8, 0.27) OD. 56(0.27) 5 (0.73)³ OE. 3(0.27) ³ (1 - 0.27)5 OF. (0.27)³ (0.73)5
Expert Solution
Step 1

Given:

p = 0.27

n = 8

x = 3

Formula Used:

Binomial distribution:

X~B(n, p)

P(X=x) = Cxnpxqn-xE

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