3) In Bangladesh, the height of adult people is normally distributed with a mean of 185 cm & a variance of 2cm. Calculate the probability that a adult people heights are between 180 cm to 190cm. Draw a figure. [3+3] 4) A researcher wishes to test whether the mean weight of the adult men in Bangladesh is different than 70kg. To test this 5 people are selected & their weights are recorded: 60kg 75kg 72kg 65kg Test this at 10% level of significance. [6] 68kg 5) Blood samples of 5 people were sent to each of two laboratories (Lab 1 and Lab 2) for cholesterol determinations. The resulting data are summarized here: Lab 1 276 270 265 300 280 Lab 2 318 287 285 262 296 The (population) mean cholesterol levels reported by Lab 1 is less than the (population) mean cholesterol levels reported by Lab 2? Test this at 10% level of significance. [6