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correction factor to find the probability that at most 159 women in the sample will pass away before reaching the age of 90.

correction factor to find the probability that at most 159 women in the sample will pass away before reaching the age of 90.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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● Question 2 According to an SSA study, around 38% of 65-year old women will live to at least 90. An insurance company has a part of its portfolio made of life insurance policies sold to 65-year old women. Based on the SSA study the insurance company expects that 62% of 65-year old women will pass away before reaching the age of 90. A simple random sample of 250 is taken. Use the normal approximation along with the continuity correction factor to find the probability that at most 159 women in the sample will pass away before reaching the age of 90. • • Let X be the number of females out of 250 that pass away before reaching the age of 90. Describe the distribution of X and its parameters: X B ✓✓(n = 250 Y~N • Use the random variable notation to symbolically express the probability that at most 159 females out of 250 pass away before reaching the age of 90: P(X≤159) • Use the correction for continuity: • Let Y be a normal variable that will be used to approximate the probability in question. Find the parameters of Y (round the answers t imal places): ✓✓(μ = 155 Select an answer ✓ Select an answer • Use the random variable notation to symbolically express the approximate probability that at most 159 females out of 250 pass away before reaching the age of 90: P(Y<159) P(Y>159) P Select an answer ✓ Select an answer = 0.62 P(Y<159.5) P(Y<158.5) P(Y>159.5) P(Y>158.5) • Find the probability (round the answer to 4 decimal places): σ 7.67
Transcribed Image Text:● Question 2 According to an SSA study, around 38% of 65-year old women will live to at least 90. An insurance company has a part of its portfolio made of life insurance policies sold to 65-year old women. Based on the SSA study the insurance company expects that 62% of 65-year old women will pass away before reaching the age of 90. A simple random sample of 250 is taken. Use the normal approximation along with the continuity correction factor to find the probability that at most 159 women in the sample will pass away before reaching the age of 90. • • Let X be the number of females out of 250 that pass away before reaching the age of 90. Describe the distribution of X and its parameters: X B ✓✓(n = 250 Y~N • Use the random variable notation to symbolically express the probability that at most 159 females out of 250 pass away before reaching the age of 90: P(X≤159) • Use the correction for continuity: • Let Y be a normal variable that will be used to approximate the probability in question. Find the parameters of Y (round the answers t imal places): ✓✓(μ = 155 Select an answer ✓ Select an answer • Use the random variable notation to symbolically express the approximate probability that at most 159 females out of 250 pass away before reaching the age of 90: P(Y<159) P(Y>159) P Select an answer ✓ Select an answer = 0.62 P(Y<159.5) P(Y<158.5) P(Y>159.5) P(Y>158.5) • Find the probability (round the answer to 4 decimal places): σ 7.67
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