For which of the following counts would a binomial probability model be reasonab
ID: 3367188 • Letter: F
Question
For which of the following counts would a binomial probability model be reasonable? CAN SELECT MORE THAN ONE
Bush hogs always have litters of 6 piglets. We count the number of males in a litter.
We count the number of mosquito larvae in a pond.
A small number of people are called “super multi-taskers” – they can multi-task without the usual loss in performance. Neuroscientists test students until they find a super-multi-tasker, and count the total number of students tested.
It is challenging to grow ferns from spores. It can take a month or more for the spores to germinate, and they must be kept moist at all times. A certain percentage of the spores will fail to germinate. We prepare 15 spores in separate containers and count the number that germinate.
People develop kidney failure as the result of uncontrolled hypertension, kidney damage from certain drugs, disease (such as diabetes or polycystic kidney disease), or accidental injury. In a group of 20 dialysis patients, eight of them suffered from uncontrolled hypertension, ten had kidney failure due to disease, and two had kidney failure due to drug damage. We select four at random from this group and count how many in our sample suffered from hypertension.
A.Bush hogs always have litters of 6 piglets. We count the number of males in a litter.
B.We count the number of mosquito larvae in a pond.
C.A small number of people are called “super multi-taskers” – they can multi-task without the usual loss in performance. Neuroscientists test students until they find a super-multi-tasker, and count the total number of students tested.
D.It is challenging to grow ferns from spores. It can take a month or more for the spores to germinate, and they must be kept moist at all times. A certain percentage of the spores will fail to germinate. We prepare 15 spores in separate containers and count the number that germinate.
E.People develop kidney failure as the result of uncontrolled hypertension, kidney damage from certain drugs, disease (such as diabetes or polycystic kidney disease), or accidental injury. In a group of 20 dialysis patients, eight of them suffered from uncontrolled hypertension, ten had kidney failure due to disease, and two had kidney failure due to drug damage. We select four at random from this group and count how many in our sample suffered from hypertension.
Explanation / Answer
From the above options, binomial probability would be reasonable for option (D) and(E) as the sample size is fixed and the event for which count is made has a fixed prior probability which are the conditions required to fulfill binomial probability model.
In options (A), (B) there is no prior probability for the events for which count is to be made
In option (C), the count is made for sample size. Thus, they are not reasonable for binomial probability model.
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