4. The daily temperature in Cairns is normally distributed with a mean of 34°C and a standard deviation of 3. a. On the following diagram, shade the region representing the probability that a random day in b. Calculate the probability that the temperature on a randomly chosen day in January is less than 36°C. Cairns is less than 36°C. c. Calculate the expected number of days in January that the temperature will be less than 36°C. d. On a randomly selected day in January, the probability that the temperature is above k°C is 0.7. Find the value of k. e. Find the probability that exactly twenty-five days in January will be less than 36°C. f. Find the probability that at most twenty-five days in January will be less than 36ºC.

4. The daily temperature in Cairns is normally distributed with a mean of 34°C and a standard deviation of 3. a. On the following diagram, shade the region representing the probability that a random day in b. Calculate the probability that the temperature on a randomly chosen day in January is less than 36°C. Cairns is less than 36°C. c. Calculate the expected number of days in January that the temperature will be less than 36°C. d. On a randomly selected day in January, the probability that the temperature is above k°C is 0.7. Find the value of k. e. Find the probability that exactly twenty-five days in January will be less than 36°C. f. Find the probability that at most twenty-five days in January will be less than 36ºC.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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