PDF = f(x) 2/x^3 for x>1 Question: - what is Probability ... P(x<4 or x>8)? - x such that P(X>x) ?

A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2,0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = (X - 32) and X ~ N(98.2,0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?

Service Good The table shows the results of a restaurant survey. Find the probability P(Y'|B'). Service Great Service Okay Meal (A) (B) (C) Lunch (X) Dinner (Y) Total 818 37 45 33 19 14 47 56 59 80 80226 Service Poor (D) Total 25 140 122 67 262 P(Y'B') (Simplify your answer. Type an integer or a simplified fraction.)

Battery life X~N(20, 10). Guarantee: avg. battery life in a case of 24 exceeds 16 hrs. Find the probability that a randomly selected case meets the guarantee.