## Question

###### An artide 2019 dcscribcd thc Incidenc cplsodic tension hcadache WoMen SUNvcy was undortatcnand 4598 0 respondents were the age 30 to 39age Eoup The remaining respondents were the 18to 29 age gtoup: thc younger EIouP 3593 of women hadsuffered tension headache E their Wies the oldcr agc grouP Mias found that 3773 of women had suffered tension headache in their Iives . Treat ay relevant probabilities from this study population probabilities to help vou answer the questions below. We consider women

An artide 2019 dcscribcd thc Incidenc cplsodic tension hcadache WoMen SUNvcy was undortatcnand 4598 0 respondents were the age 30 to 39age Eoup The remaining respondents were the 18to 29 age gtoup: thc younger EIouP 3593 of women hadsuffered tension headache E their Wies the oldcr agc grouP Mias found that 3773 of women had suffered tension headache in their Iives . Treat ay relevant probabilities from this study population probabilities to help vou answer the questions below. We consider women between 18 and 39 Yeas old: What [ probability rndomly selected woman will have had tension headache? What Is the probj bility randomly selected woman In the younger age group it was kmown tha: she had suffered tension headache? Are age group and headache status independent? Explain using a probability Olculation Suppose you do new study. based on this one, and you randomly sample 20 women the 18 t0 39 Jge group and ask if they have ever suffered tension Radache Let Y be the number of womzn In the smple who sY "ves" Then might be modeled as distnbution with parameters speaific with numencal valucs and notaton for panmctcrs} What is the proba biity that at least 6 out of 20 women inyour sample say they had tension headache? (vou don't have calculate exactly. show howto alculate Suppose vou decided to sample 200 vomen rndomly in the 18-39 age group intead of 20. Whatis pproximate probability that at least 60 them say they have ever suffered tension headache? Include any appropriate checks that allow You t0 compute this probability