15. Kim Kardashian (age 43) announced today that she is pregnant after long struggle with infertility. Infertility rate among 40-44 years old females in 28%. a. What is the probability that a 40-44-year-old female is NOT infertile? b. Three friends who are 40-44 years old are all trying to get pregnant. What is the probability that they'll all have babies (NONE is infertile)?
15. Kim Kardashian (age 43) announced today that she is pregnant after long struggle with infertility. Infertility rate among 40-44 years old females in 28%. a. What is the probability that a 40-44-year-old female is NOT infertile? b. Three friends who are 40-44 years old are all trying to get pregnant. What is the probability that they'll all have babies (NONE is infertile)?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Infertility and Pregnancy Probability in Women Aged 40-44**
**Case Study: Kim Kardashian's Pregnancy Announcement**
Age: 43
Kim Kardashian announced today that she is pregnant after a long struggle with infertility. The infertility rate among females aged 40-44 years is 28%.
**Questions:**
a. **Probability of a 40-44-Year-Old Female Being Fertile**
*Question:* What is the probability that a 40–44-year-old female is NOT infertile?
*Calculation:*
The infertility rate is given as 28%. Therefore, the probability that a 40-44-year-old female is fertile (not infertile) is:
\[
P(\text{Not Infertile}) = 1 - P(\text{Infertile}) = 1 - 0.28 = 0.72 \text{ or } 72\%
\]
b. **Probability of Three Friends Conceiving**
*Question:* Three friends who are 40-44 years old are all trying to get pregnant. What is the probability that they’ll all have babies (NONE is infertile)?
*Calculation:*
The probability that one woman in this age group is not infertile is 72%. To find the probability that all three friends are not infertile and will conceive, we multiply the individual probabilities:
\[
P(\text{All three are not infertile}) = 0.72 \times 0.72 \times 0.72 = 0.72^3 \approx 0.3732 \text{ or } 37.32\%
\]
**Explanation of Probabilities:**
- The first calculation determines how likely it is for an individual woman aged 40-44 to be fertile.
- The second calculation extends this to a group of three women, assuming each woman's fertility is independent of the others'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41fb09d5-8b0e-4c41-ac4e-b73482182c8a%2F35cbbcb0-4da2-4697-9d28-5ef8e0ba698d%2F2ir38vo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Infertility and Pregnancy Probability in Women Aged 40-44**
**Case Study: Kim Kardashian's Pregnancy Announcement**
Age: 43
Kim Kardashian announced today that she is pregnant after a long struggle with infertility. The infertility rate among females aged 40-44 years is 28%.
**Questions:**
a. **Probability of a 40-44-Year-Old Female Being Fertile**
*Question:* What is the probability that a 40–44-year-old female is NOT infertile?
*Calculation:*
The infertility rate is given as 28%. Therefore, the probability that a 40-44-year-old female is fertile (not infertile) is:
\[
P(\text{Not Infertile}) = 1 - P(\text{Infertile}) = 1 - 0.28 = 0.72 \text{ or } 72\%
\]
b. **Probability of Three Friends Conceiving**
*Question:* Three friends who are 40-44 years old are all trying to get pregnant. What is the probability that they’ll all have babies (NONE is infertile)?
*Calculation:*
The probability that one woman in this age group is not infertile is 72%. To find the probability that all three friends are not infertile and will conceive, we multiply the individual probabilities:
\[
P(\text{All three are not infertile}) = 0.72 \times 0.72 \times 0.72 = 0.72^3 \approx 0.3732 \text{ or } 37.32\%
\]
**Explanation of Probabilities:**
- The first calculation determines how likely it is for an individual woman aged 40-44 to be fertile.
- The second calculation extends this to a group of three women, assuming each woman's fertility is independent of the others'.
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