Answer:
1. 0.1445
2. 0.3426
3. 0.6574
Step-by-step explanation:
Let L be the event that there is liquid in the bag
Let + the be event of a positive test.
we are given:
P(+ | L) = 0.99
P(+ | L') = 0.10
P(L) = 0.05
1. Find P(+), use the Law of Total Probability to do this:
P(+) = P(+|L)P(L) + P(+ | L')P(L')
= 0.99 * 0.05 + 0.1 * (1- 0.05)
= 0.1445
2. Find P( L | + ) = P( L ∩ + ) / P(+) . . . definition of conditional probability
= P( + | L ) P(L) / P(+) . . . again using definition of conditional probability
= 0.99 * 0.05 / 0.1445
= 0.3426
3. P( L' | + ) = 1 - P( L | + ) = 1 - 0.3426 = 0.6574
What are the values of the median and the mean of this distribution?{1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7}
PSYCHO15rus [73]
The median( middle number), and if there is an even amount of numbers (which is what there is in this problem, there will be 2 middle numbers.....so u take the 2 middle numbers...add them and divide by 2 to find the median.
(3 + 3) / 2 = 6/2 = 3....median is 3
the mean (average) can be found by adding up all the numbers and dividing by how many numbers there are. 55/16 = 3.4275 rounds to 3.43 <== mean
The answer is: not likely. There isn’t much of a chance !
Answer:
1) x=1/2-y/2-3z
2)x= 16/3- 2y/3- 5z/3
3)x= 11/7- 3y/7+ 4z/7
Step-by-step explanation:
isolate the variable, to do that divide each side by the factors that don't contain the variable
Answer: The numbers are decreasing by 2. So that means that the eighteenth number would be -29.
Explanation:
{5, 3, 1, -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29...}
