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
If you would like to solve the system of linear equations, you can do this using the following steps:
2x - y = -1 ... y = 2x + 1
2x + y = -7 ... y = -7 - 2x
The correct result would be: y = 2x + 1, <span>2x + y = -7.</span>
Answer:
$33
Step-by-step explanation:
c = price of cheese; s = price of sausage
3c + 3s = $36
s = c - 2
3c + 3(c - 2) = 36
2c - 2 = 12
c = $ 7
s = 7 - 2 = $ 5
Therefore, price of 4 lb of cheese and 1 lb of sausage is 4c + 1s = $28 + $5 = $33
Answer:
Step-by-step explanation:
People who fear spiders
the answer is B if you want it in simplist form
