question #8 to 14 The Role of Probability 12. A large national study finds that
ID: 3197469 • Letter: Q
Question
question #8 to 14
The Role of Probability 12. A large national study finds that 10% of pregnant 5-13 Self-Reported Smoking Status women deliver prematurely. A local obstetria is seeing 16 pregnant women in his next session a. What is the probability that none will deliverp clinic Nicotine Absent 82 Nicotine Present 14 ported maturely? b. What is the probability that fewer than 3 ported smoker 12 52 deliver prematurely? c. What is the probability that none will deliver pe maturely if, in fact, the true percentage whode A recent study of cardiovascular risk factors reported that 30% of adults meet criteria for hypertension. If 15 adults are assessed, what is the probability that: a. Exactly 5 meet the criteria for hypertension? b. None meet the criteria for hypertension? c. How many would you expect to meet the criteria 8. liver prematurely is 5.5%? d. If the true percentage is 10% and this obstet- cian has 146 pregnant women under his care. how many would be expected to deliver premature Table 5-15 cross-classifies pregnant women is a study by their body mass index (BMI) at l6wei gestation and whether they had a pre-te 13. for 9. Table 5-14 displays blood pressure status by gender delivery a. What is the probability that a woman delivers pre a. What proportion of the participants have optimal blood pressure? term b. What proportion of men have optimal blood b. What is the probability a woman has a Bit pressure? than 30 and delivers pre-term? c. What proportion of paripants with hyperten- c. What proportion of women with a BMIl greaier sion are men d. Are hypertensive status and male gender inde- than 35 deliver pre-term? d. Are BMI and pre-term delivery in mean BMI at 16 weeks gestation is sumed to follow a normal distribution. pendent? 10. Diastolic blood pressures are assumed to follow a nor- usti 14. In the study described in Problem 13,su mal distribution with a mean of 85 and a standard deviation of 12. a. What proportion of people have diastolic blood rd deviation of 3.6, and that BMI is pressures less than 90? b. What propo rtion have diastolic blood pressures following than 30. than 40. ween 80 and 90? c. If someone has a diastolic blo he proportion of women with a BMI grer 11. Consider the data described in Problem 10. If 15 par what perce ntile does this represent? b. The e proportion of women with a BM ticipants are sampled, what is the probability that their mean diastolic blood C. The BMl that separates the top 10% trom Ppose we want to estimate the mean men in pregnancy at 20 weeks gesta pressure exceeds 90? bu wo ABLE 5-14 Blood Pressure by Gender Optimal Normal Hypertension Total 15 Body Mass Index and Preterm BMI 30-3459 BMIExplanation / Answer
8.
We use binomial pdf function to solve the problem.
p (meet) = .30
a. P(X=5) = 15C5 (.3^5)*(.7^10) = .20613
b. P(X=0) = 15C5 (.3^5)*(.7^10) = 0.0048
c. E(X) = np = 15*.3 = 4.5
Please post Q14 separately.
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