Please answer all of them

Mrwmmwcam .... \"xv~m.ma.mlnww ' '1.' HEUlOtion of '29 year old males has a mean height of 175.5 cm with a standard deviation of 7.4 cm. The heights follow a normal distribution. Let X = height of 29 year old male 0. If you select one 29 year old male at random, what is the probability that his height is less than 173 cm? I ii). Let E = sample mean height (n = 10) of 29 year old males. What are the mean and standard deviation of E? \"c: If a sample of ten 29 year old men is taken, what is the probability that their mean height will be less than 173 cm? 2. Male bluethroats sing to attract female birds. Let S = the length (seconds) of a randomly selected song. in one particular study, it was found \"S = 12.4 s and as = 8.3 s. S does not follow a normal distribution. Suppose you are studying bluethroats in Western Alaska. You travel throughout the region and randomly sample 40 songs at various locations, measuring their length in I seconds. You compute an average song length for each location. Let S i.- mean song length (n = 40) . a. What distribution does 5 follovv? b. What is the probability that a location has a mean song length between 10 , and 13 seconds? c. What is the probability that a location has a mean song length less than 9.5 seconds? ' Suppose one location is near a rather loud factory. The average song length here is 17 seconds. In your opinion, is this sample mean likely or unlikely? Does it imply that something may be affecting the song length? Justify your response by computing appropriate probabilities. For instance, what is the irobabiliti that a location has a mean soni lenith of 17 seconds or lonier