Question

Old Billie and her son Hadey are arguing about how much time their fellow goats spend listening to music each day. Old Billie contends that the goats spend between 0 and 80 minutes each day listening to music, and she insists that no range of times is ay more likely than any other. Hadey argues that it doesn't make sense to believe that goats are just as likely to spend more time than two hours listening to music as they are to spend between 30 and fifty minutes and proposes a normal distribution instead.

1) Describe the population and the variable they retaking about. Be as details as possible.

2) Describe the distribution that Old Billie is conjecturing in detail, including a graph AND a density function.

3) Supposing that Hadeys claimed distribution has the same mean and standard deviation as Old Billie, describe it in detail as well, include a thorough graph.

4) According to Old Billies conjecture, what is the probability that a random goat spends more than two hours listening to music in a day?

5) According to Hadeys conjecture, what is the probability that a random goat spends more than two hours listening to music in a day?

6) According to Old Billies conjecture, what would the 95th percentile of the amount of time the goats spend listening to music in a day?

7) According to Hadeys conjecture, what would the 95th percentile of the amount of time the goats spend listening to music in a day?

Answer 1

1. Population: The time all their Goats listen to music.

Variable: The Time duration the goats listen to music.

2.

3.

4. According to Billy, there is 0 probability that goats listen to more than 2 hours of songs.