Questions 4 to 5: Recent studies have shown that 20% of Americans are fit the medical definition of obese. This is clearly a Binomial Distribution experiment. A Nutrition Professor Jojo who would like to study the percentage of students on campus that are obese. Suppose that the percentage of students that are obese at Antelope Valley College is the same as the percentage of Americans. Let X equal the number of students that are obese. 4. If Professor Jojo who takes a random sample of 10 students. What is the probability that 3 of the students in her sample of 10 is obese? Circle your answer below. a.) P(X=3)= Binompdf (10,0.2,3) 0.2013 b.) P(X=3)= Binompdf (10,0.2,3) 0.7987 c.) P(X23)=1– Binomcdf (10,0.2,2) - 0.3222 d.) P(X = 3)= Binompdf (10,0.2,3) 0.6980 e.) P(X s3)= Binomcdf (10,0.2,3) 0.8791 %3D %3D 5. What is the probability that at most two of the students in her sample of 10 is obese? Circle your answer below. a.) P(Xs2)= Binompdf (10,0.2,2) = 0.3020 b.) P(Xs2)= Binomcdf (10,0.2,2) = 0.6778 c.) P(X22)=1- Binomcdf (10,0.2,1) = 0.6242 d.) P(X<2)=1- Binompdf (10,0.2,2) = 0.6980 e.) P(X22)=1- Binomcdf (10,0.2,2)= 0.3222 %3D
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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