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a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product.

a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Question 3 a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product.
Transcribed Image Text:Question 3 a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. ii. What probability distribution do you think best describes the situation? Why? iii. Calculate the probability that exactly 9 will buy the product. iv. If 80 persons are introduced to the product, determine the number of person who are expected to buy the product.
Question 4 The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm. i. Find the standard deviation O. ii. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected.
Transcribed Image Text:Question 4 The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found that 5% of these plants are longer than 45cm. i. Find the standard deviation O. ii. When plants are chosen for sale, those shorter than 30cm are rejected. Find the probability that a plant will be rejected.
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