In a country, a day can be either rainy or sunny. The probability of a day being rainy is 60.0% . Suppose, you have chosen 19 random days in a year. a. What is the mean number of rainy days among all those chosen days? Answer in exact fraction, or rounded to at least 2 decimal places. b. What is the standard deviation in the number of rainy days? Answer in exact fraction, or rounded to at least 2 decimal places. c. What is the probability that the number of rainy days is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.

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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In a country, a day can be either rainy or sunny. The
probability of a day being rainy is 60.0% . Suppose, you
have chosen 19 random days in a year.
a. What is the mean number of rainy days among all
those chosen days?
Answer in exact fraction, or rounded to at least 2 decimal places.
b. What is the standard deviation in the number of rainy
days?
Answer in exact fraction, or rounded to at least 2 decimal places.
c. What is the probability that the number of rainy days is
more than 1 standard deviations away from the mean
value?
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:In a country, a day can be either rainy or sunny. The probability of a day being rainy is 60.0% . Suppose, you have chosen 19 random days in a year. a. What is the mean number of rainy days among all those chosen days? Answer in exact fraction, or rounded to at least 2 decimal places. b. What is the standard deviation in the number of rainy days? Answer in exact fraction, or rounded to at least 2 decimal places. c. What is the probability that the number of rainy days is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.
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