Question

For which of the following hypothetical scenarios is a binomial distribution most acceptable? a. Finding out if there is a significant difference between the blood pressures of people who work in high-stress environments compared to those who work in low-stress environments. b. Measuring the height of children at age five. c. Surveying former smokers and asking them whether or not they have emphysema. d. Determining which stage of cancer (I, II, III, IV) patients should be categorized into.

Answer 1

Answer)

As there are fixed number of trials and probability of each and every trial is same and independent of each other

Here we need to use the binomial formula

P(r) = ncr*(p^r)*(1-p)^n-r

Ncr = n!/(r!*(n-r)!)

N! = N*n-1*n-2*n-3*n-4*n-5........till 1

For example 5! = 5*4*3*2*1

Special case is 0! = 1

P = probability of single trial

N = number of trials

R = desired success

Only . c. Surveying former smokers and asking them whether or not they have emphysema.

Fits

As here there are two outcomes whether you have emphysema or you do not have emphysema and fixed number of trails 5