Hey! I would love some help on this problem:

Question 1 Suppose our target population is very\":r large. To each observational unit we have a twolevel factor attribute called \"good\" with categories \"bad", and \"good\". Consider the following binomial sampling distribution for number of good in 84 trials. Binomial sampling Distribution of number of good 8 d Probabiily [I 10 {115 I105 ........_..| | ll I] 20 4|] 6!] Bl] (1.11310 Y The population proportion of good is closest to: 0 0.55 00.25 00.15 00.7 0 0.95 The expected number of good is closest to 02.85 033.25 0 66.5 079.8 06.65 073.15 Pr[ Y > 52.5 ] is closest to 0 0.99084 0 0.75658 0 0.94096 01 0 0.97549 0 0.99973 0 0.99993 Using the normal, or Gaussian approximation (regardless of appropriateness), Pr[ Y > 52.5 ] is closest to 0 0.95074 00.74242 01 00.98433 00.99601Question 2 Suppose our target population is very large. To each observational unit we have a two-level factor attribute called "hotdogs" with categories "not hotdog", and "hotdog". Consider the following binomial sampling distribution for number of hotdogs in 14 trials. Binomial Sampling Distribution of number of hotdog 0.20 0.15 Probability 0.10 0.05 0.00 0 2 4 6 8 10 12 14The population proportion of hotdog is closest to: 00.3 0 0.95 00.4 0 0.75 00.15 The expected number of hotdog is closest to 0 0.9 08.4 016.8 04.2 018.9 02.1 Pr[ Y > 3.5 ] is closest to O 3e-05 0 0.4158 0 0.21948 00.64483 0 0.00025 00.95252 0 0.03147 Using the normal, or Gaussian approximation (regardless of appropriateness), Pr[ Y > 3.5 ] is closest to 0 0.00012 0 0.65845 0 0.94233 O 1e-05 0 0.43055