In this problem, we consider an application of posterior statistics. suppose that we have five loaded coins; the probability of each landing heads is 0.2 , 0.4 , 0.4 , 0.6 , and 0.8 . the coins are placed in a bag, and one coin is drawn completely at random. let the probability that the coin drawn comes up heads on a given toss be . our goal is to infer something about the probability that the coin picked will land heads, and we would extract information by flipping the coin times and recording the outcomes of the tosses. (a) preliminary ingredients 2 points possible (graded) in a bayesian model, given the description of the situation, what is the prior distribution of the parameter of interest , which we define as probability that the coin chosen lands heads? enter the prior probabilities for =0.2 , =0.4 , =0.6 , =0.8 , as a vector =0.=0.=0.=0.8)) . for example, if =0.2)=0.=0.4)=0.=0.6)=0.=0.8)=0.3, then enter [0.5,0.1,0.1,0.3]. note the components are separated by commas, and the vector is enclosed by square brackets. =0.=0.=0.=0.8))=from the posterior distribution, compute the posterior mean, mode, and median. posterior mean: posterior mode: posterior median

answer:

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: