36% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. (a) P(2)= |0.164 (Round to the nearest thousandth as needed.) (b) P(x> 2)= |0.759 (Round to the nearest thousandth as needed.) %3D (c) P(2
36% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. (a) P(2)= |0.164 (Round to the nearest thousandth as needed.) (b) P(x> 2)= |0.759 (Round to the nearest thousandth as needed.) %3D (c) P(2
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:**Probability and Sales Tax Holiday Purchases**
According to a survey, 35% of U.S. adults say they are more likely to make purchases during a sales tax holiday. In this educational exercise, you will explore probability concepts by determining the likelihood of different outcomes when selecting 10 adults at random.
**Problem Statement:**
- You randomly select 10 adults. Calculate the probability for the following scenarios:
- (a) Exactly 2 adults are more likely to make purchases during a sales tax holiday.
- (b) More than 2 adults are more likely to make purchases during a sales tax holiday.
- (c) Between 2 and 5 adults (inclusive) are more likely to make purchases during a sales tax holiday.
**Solutions:**
- (a) \( P(X = 2) = 0.164 \) (Round to the nearest thousandth as needed)
- (b) \( P(X > 2) = 0.759 \) (Round to the nearest thousandth as needed)
- (c) \( P(2 \leq X \leq 5) \) (Round to the nearest thousandth as needed)
**Instructions:**
Enter your answer in each of the answer boxes provided. Use probability tables or software to find the precise values where necessary.
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