Answer:
Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. A box contains 20 blue marbles, 16 green marbles and 14 red marbles P(F/E)=15/49 because if the first marble selected is green there are 49 in total and 15 are green. I think this is it.
Step-by-step explanation:
The perimeter of a triangle with length of sides a, b and c:
P = a + b + c
We have a = 4.7, b = 10.5, c = 3.3xy
Substitute:
P = 4.7 + 10.5 + 3.3xy = 15.2 + 3.3xy
<h3>Answer: 15.2 + 3.3xy</h3>
Answer:
P(X > 0.3) = 0.3897
Step-by-step explanation:
Normal probability distribution:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
Applying the central limit theorem:
P( > 0.3)
This is 1 subtracted by the pvalue of Z when X = 0.3. So
By the Central Limit Theorem
has a pvalue of 0.6103
1 - 0.6103 = 0.3897
So
P(X > 0.3) = 0.3897
Using the general form; y = mx + b, we get:
y = 4x + 6