Answer: 8/12% 6/11%
Step-by-step explanation: so 4 red marbles and 8 blue marbles so in total that's 12 marbles so if you have 8 blue marbles you have a 3/4 chance of getting blue but only 1/4 chance of red
So 5 green marbles and 6 yellow marbles so in total that's 11 marbles so if you have 6 yellow marbles you have a 3/4 chance of getting yellow but only 1/4 chance of green
We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
Answer:
The graph will begin on a lower point on the y-axis.
The y-values will continue to increase as x increases.
Step-by-step explanation:
Answer: 8 1/2 is less than 9 1/2, 8 1/2< 9 1/2
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated