Answer:
see below
Step-by-step explanation:
10 are blue, 30 are yellow, 20 are red, and 40 are green.
There are 100 marbles in the bag
The color that has the most marbles is green
P( green) = 40/100 = 40%
P( yellow) = 30/100 = 30%
P( red) = 20/100 = 20%
P( blue) = 10/100 = 10%
You will be more likely to pick a green marble
Answer:
The complement of 44° is the angle that when added to 44° forms a right angle ( 90° ). Subtract 44 from 90.
Step-by-step explanation:
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
