Answer:
24750
Step-by-step explanation:
Given that 6 freshmen, 5 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee
16 students be chosen if it is to consist of exactly 4 juniors and exactly 3 seniors, and the rest must be freshmen or sophomores
i.e. dance committee will have 16 students out of which
4 juniors 3 seniors 8 freshmen or sophomores from
6 juniors, 5 seniors and 5 sophomores and 6 freshmen
Junior can be selected in 6C4 = 15 ways
Seniors in 5C3 = 10 ways
Freshman or sophomores in 11C8 = 165
The total no of ways = product of these three
=
Answer:
x=6 square root 3 y=9
Step-by-step explanation:
x= 3 square root 3 * 2
y=3 square root 3 times square root 3
Answer:
can you show more of the picture?
Step-by-step explanation:
Answer:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error of the mean would be:
4.1.5
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error of the mean would be:
4.1.5