Despite reports that dark chocolate is beneficial to the heart, suppose that 46%
ID: 2929259 • Letter: D
Question
Despite reports that dark chocolate is beneficial to the heart, suppose that 46% of adults still prefer milk chocolate to dark chocolate. Suppose a random sample of n = 5 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 five adults say that they prefer milk chocolate to dark chocolate? (b) What is the probability that exactly two of the five 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?
Explanation / Answer
Answer:
Despite reports that dark chocolate is beneficial to the heart, suppose that 46% of adults still prefer milk chocolate to dark chocolate. Suppose a random sample of n = 5 adults is selected and asked whether they prefer milk chocolate to dark chocolate. (Round your answers to three decimal places.).
Binomial Probabilities
Data
Sample size
5
Probability of an event of interest
0.46
Binomial Probabilities Table
X
P(X)
0
0.0459
1
0.1956
2
0.3332
3
0.2838
4
0.1209
5
0.0206
(a) What is the probability that all five adults say that they prefer milk chocolate to dark chocolate?
P( x=5) = 0.021
(b) What is the probability that exactly two of the five adults say they prefer milk chocolate to dark chocolate?
P( x=2) =0.333
(c) What is the probability that at least one adult prefers milk chocolate to dark chocolate?
P( x 1) = 1-P( x =0)
=1-0.0459 =0.9541
=0.954
Binomial Probabilities
Data
Sample size
5
Probability of an event of interest
0.46
Binomial Probabilities Table
X
P(X)
0
0.0459
1
0.1956
2
0.3332
3
0.2838
4
0.1209
5
0.0206
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