Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22.500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability 0.009 28-31 weeks 32-35 weeks 36 weeks 237 weeks Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks. 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) 0.010 0.052 0.038 0.891 (b) Show that the events (length of gestations 31 weeks) and (low birthweight) are not independent. (Let A (length of gestations 31 weeks) and B (low birthweight). Round your answers to four decimal places.) First we find P(AB) - Then we find P(A) - P(B) = - . Since P(AB)-Select--- P(A) - P(B), we know the events (length of gestations 31 weeks) and (low birthweight) are not independent. (c) What is the probability of having a length of gestation s36 weeks given that an infant is low birthweight? (Round your answer to four decimal places.)

If the mean time is between unscheduled maintained of lcd displays in a hospital scan facility is 4,000 operating hours, what is the probability of unscheduled maintenance in the next 5,000 hourd

When can we say that populations are normally distributed?

Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Less than 175

Suppose the number of births at a local hospital follows a Poisson distribution with a mean of 6 births per week. What is the probability there will be at least 2 births next week?

5. what is an A probability function using two coefficients, a and b, whose sum equals 1 and whose products predict the probability of events ?

The weights of coconuts from a plantation have mean 3 and standard deviation 1 (pounds). Fifty coconuts are selected randomly. Find the probability the same fifty coconuts together weigh more than 165 pounds.

Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results.   Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20     1 1 20 3     2 17   1   3 16 2 1     A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85. B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. D) The probability of surviving 1 year…

Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results.   Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20     1 1 20 3     2 17   1   3 16 2 1     A) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. B) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. C) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. D) The probability of surviving 2 years…

Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results.   Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20     1 1 20 3     2 17   1   3 16 2 1     A) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. B) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. C) The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. D) The probability of surviving 2 years…