According to the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than adult men. A recent study showed women spent an average of 36 hours per week watching TV and men, 30 hours per week. Assume that the distribution of hours watched follows the normal distribution for both groups and that the standard deviation among the women is 4.8 hours and is 5.2 hours for the men. A. What percent of women watch TV for less than 38 hours per week? B. What percent of men watch TV for more than 25 hours per week? C. How many hours of TV do the three percent of women who watch the most TV per week watch? Find the comparable value for the men.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
According to the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than adult men. A recent study showed women spent an average of 36 hours per week watching TV and men, 30 hours per week. Assume that the distribution of hours watched follows the
A. What percent of women watch TV for less than 38 hours per week?
B. What percent of men watch TV for more than 25 hours per week?
C. How many hours of TV do the three percent of women who watch the most TV per week watch? Find the comparable value for the men.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
