The record of a weather station shows that out of the past 250 consecutive days weather forecasts were correct for 175 times. What is the probability that on a given day it was correct?

A survey of people in a given region showed that 20% were smokers. The probability of death due to lungcancer, given that a person smoked, was 10 times the probability of death due to lung cancer, given thata person did not smoke. If the probability of death due to lung cancer in the region is 0.006, what is the probability of death due to lung cancer given that a person is a smoker?

A pendulum clock loses 12 s a day if the temperature is 40^@C and gains 4s a day if the temperature is 20^@C . The temperature at which the clock will show correct time, and the coefficient of linear expansion (alpha) of the metal of the pendulum shaft are respectively: