**Infertility and Pregnancy Probability in Women Aged 40-44****Case Study: Kim Kardashian's Pregnancy Announcement**Age: 43Kim 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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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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7. Aaron purchased 19 video games. The defect rate for these types of video games is 1.8%. What is the probability that at least three of the video games he purchased are defective?
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26. Handedness A psychologist needs 12 left-handed subjects for an experiment, and she interviews 15 potential subjects. About 10% of the population is left-handed. (a) What is the probability that exactly 12 of the potential subjects are left-handed? (b) What is the probability that 12 or more are left-handed?
8. Cell phones and surveys II The survey by the National Cen- ter for Health Statistics further found that 71% of adults 25-29 had only a cell phone and no landline. We randomly select four 25-29-year-olds: ages a) What is the probability that all of these adults have only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? c) What is the probability that at least one of these adults has only a cell phone and no landline?
32. A field trip in Bukidnon was organized by an institution as part of their goals to extend community engagement to their pupils. However, a tragic accident happened on their way to their destination. After the rescue operation, the team tallied the number of survivors and missing persons. (a) If we randomly select someone who was a part of the field trip, what is the probability of getting a woman, given that the selected person was rescued? (b) What is the probability of getting a boy or girl, given that the randomly selected person is missing? Men Women Boys Girls Rescued 20 10 7 16 Missing 15 13 10 8.
10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.
Sixty-nine percent of U.S. college graduates expect to stay at their first employer for three or more years. you randomly select 18 U.S. college graduates and ask them whether they expect to stay at their first employer for three or more years. Find the probability that the number who expect to stay at their first employer for three or more years is (a) exactly 10, (b) less than 7 and (c) at least 15. Identify any unusual events. Explain. The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. (a) Find the probability that the disposable income of a resident is more than $45,000. Is this an unusual event? Explain. (b) Out of 800 residents, about how many would you expect to have a disposable income of between $40,000 and $42,000? (c) Between what two values does the middle 60% of disposable incomes lie? (d)…
7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?
3. The latest data from the CDC indicates that 14% of Americans are smokers. A researcher wants to identify smokers for a survey. He randomly selects people entering a grocery store to ask if they are a smoker. a) What is the probability that he identifies the first smoker on his 5th try? b) What is the probability that he has to approach more than 8 people before finding the first smoker? c) How many people does he expect to approach before finding the first smoker?
16. Ten percent of the students at a certain college are non-resident. A reporter for the student paper would like to interview at least 5 non-residents. If the reporter randomly selects 100 names from the student directory and begins contacting them, what is the probability that she will contact at least 5 non-resident students?