Question

Match the following histograms to their possible underlying distributions

Question 6 options:

A 1000 draws from a Binomial(250, 0.65) B 500 draws from a Uniform[20,60] C 100 draws from a Bernoulli(0.3) D 1000 draws from a Normal( 100,25)

1. 0 .005 Density .01 .015 .02 50 100 150 200 2. 3. 4.

Answer 1

- 1000 draws Binomial (250,0.65) i.e. n=250 and p = 0.65. lale also that for large sample size Binomial approachy to normal distribution with mean np and standard deviation Top mean = Rso Xoss = 162.5 from graph ③ mean is clearly seems near 160 sie. 162.5 a 140 160 1 otherwise ® soo draws, Uniform [20,60] pdf = { (60-20 to 20{XÇ60 ie density lie within interval [20,60] uso grupy is correct. © Burnown (03), ie p=0.3 , Denting = Coco-psyes for p=0.3 Density = (0,33(1-03)". (035043-2) - Hence graph € D Normal (100,28) mean = 100 is only can seen in graph 0 PLEASE LIKE Hence