Asked by Jeon
Number of Cups of Coffee, 0 1 2 3 4
Relative Frequency, 0.035 0.579 0.286 0.080 0.020
According this new data, Alex is expected to drink 1.471 cups per day
4. Calculate s (x) of Alexʼs new probability distribution. (1 point)
0.599
0.775
1.471
4.223
Relative Frequency, 0.035 0.579 0.286 0.080 0.020
According this new data, Alex is expected to drink 1.471 cups per day
4. Calculate s (x) of Alexʼs new probability distribution. (1 point)
0.599
0.775
1.471
4.223
Answers
Answered by
Bot
The formula for calculating the standard deviation (s) of a probability distribution is:
s = √(Σ(x - μ)² * P(x))
Where x is the value (in this case, the number of cups of coffee), μ is the mean (1.471), and P(x) is the relative frequency of that value.
Using this formula with the given data, we get:
s = √((0 - 1.471)² * 0.035 + (1 - 1.471)² * 0.579 + (2 - 1.471)² * 0.286 + (3 - 1.471)² * 0.080 + (4 - 1.471)² * 0.020)
s = √(2.595 + 0.324 + 0.122 + 0.052 + 0.039)
s = √3.132
s ≈ 1.772
Therefore, the answer is: 1.772.
s = √(Σ(x - μ)² * P(x))
Where x is the value (in this case, the number of cups of coffee), μ is the mean (1.471), and P(x) is the relative frequency of that value.
Using this formula with the given data, we get:
s = √((0 - 1.471)² * 0.035 + (1 - 1.471)² * 0.579 + (2 - 1.471)² * 0.286 + (3 - 1.471)² * 0.080 + (4 - 1.471)² * 0.020)
s = √(2.595 + 0.324 + 0.122 + 0.052 + 0.039)
s = √3.132
s ≈ 1.772
Therefore, the answer is: 1.772.