Math Problem Statement
According to a poll, 60% of a nation's women 18 years old or older stated that the minimum driving age should be 18. Complete parts (a) through (f) below. Question content area bottom Part 1 (a) In a random sample of 15 women 18 years old or older, find the probability that exactly 10 believe that the minimum driving age should be 18. The probability is
0.1859. (Round to four decimal places as needed.) Part 2 (b) In a random sample of 15 women 18 years old or older, find the probability that fewer than 5 believe that the minimum driving age should be 18. The probability is
0.0093. (Round to four decimal places as needed.) Part 3 (c) In a random sample of 15 women 18 years old or older, find the probability that at least 5 believe that the minimum driving age should be 18. The probability is
0.9907. (Round to four decimal places as needed.) Part 4 (d) In a random sample of 15 women 18 years old or older, find the probability that between 7 and 12, inclusive, believe that the minimum driving age should be 18. The probability is
0.8778. (Round to four decimal places as needed.) Part 5 (e) In a random sample of 200 women 18 years old or older from the nation, what is the expected number who believe that the minimum driving age should be 18? What is the standard deviation? In a random sample of 200 women,
enter your response here women are expected to believe that the minimum driving age should be 18.
Solution
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Math Problem Analysis
Mathematical Concepts
Binomial Distribution
Probability Theory
Formulas
P(X = k) = (n choose k) * p^k * q^(n-k)
Expected Value: E(X) = n * p
Standard Deviation: σ = sqrt(n * p * q)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 11-12
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