Question

Unilever Inc. recently developed a new body wash with a scent of ginger. Their research indicates that 30% of men like the new scent. To further investigate, Unilever’s marketing research group randomly selected 15 men and asked them if they liked the scent.

What is the probability that six or more men like the ginger scent in the body wash? (Round your answer to 4 decimal places.)

Answer 1

To find the probability that six or more men like the ginger scent in the body wash, we can use the binomial distribution formula.

Step-by-step explanation:

To find the probability that six or more men like the ginger scent in the body wash, we can use the binomial distribution formula. The probability of success (men liking the scent) is 0.30. The number of trials is 15. We need to find P(X ≥ 6), where X is the number of men who like the scent.

Using a calculator or statistical software, we can calculate the probability as follows:

1. Calculate P(X = 6) = C(15, 6) * 0.30^6 * (1-0.30)^(15-6)
2. Calculate P(X = 7) = C(15, 7) * 0.30^7 * (1-0.30)^(15-7)
3. Continue this process until P(X = 15).
4. Add up all the individual probabilities: P(X ≥ 6) = P(X = 6) + P(X = 7) + ... + P(X = 15).

Rounding the final answer to four decimal places will give you the probability that six or more men like the ginger scent in the body wash.