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thank you for the help! Despite reports that dark chocolate is beneficial to the

ID: 3363094 • Letter: T

Question

thank you for the help!

Despite reports that dark chocolate is beneficial to the heart, suppose that 48% of adults still prefer milk chocolate to dark chocolate. Suppose a random sample of n = 4 adults is selected and asked whether they prefer milk chocolate to dark chocolate. (Round your answers to three decimal places.)

(a) What is the probability that all four adults say that they prefer milk chocolate to dark chocolate?


(b) What is the probability that exactly two of the four adults say they prefer milk chocolate to dark chocolate?


(c) What is the probability that at least one adult prefers milk chocolate to dark chocolate?

Despite reports that dark chocolate is beneficial to the heart, suppose that 48% of adults still prerer milk chocolate to dark chocolate. Suppose a random sample ot n-4 adults is selected and asked whether they prerer milk chocolate to dark chocolate. Round your ancwers to three deimal places.) a) what is the probability that all rour adults say that they prefer milk chocolate to dark chocolate? What is the probebility that exactly twoof the four adults say they prefer milk chcolate to dark chocolate? c) What is the probability that at least one adult prefe milk choclate t dark choulate?

Explanation / Answer

this is a binomial distribution and P= 0.48 q= 0.52

a) P x=4 : (4C4)*(0.48)^(4) *(0.52)^(0) =0.0530

a) P x=2 : (4C2)*(0.48)^(2) *(0.52)^(2) =0.3738

c) at last one adult prefers milk chocolate

1-P(x=0) =1- (4C0)*(0.48)^(0) *(0.52)^(4)=1- 0.0731=0.9268