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3 years ago

Please help me ,,,,,,,,

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer: 1: 7 | 2: 2 | 3: 729 | 4: 2 | 5: 100 | 6: about 140

Hope this helps :)

Step-by-step explanation:

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Suppose that bugs are present in 1% of all computer programs. A computer de-bugging program detects an actual bug with probabili

lawyer [7]

Answer:

(i) The probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

Step-by-step explanation:

Denote the events as follows:

B = bugs are present in a computer program.

D = a de-bugging program detects the bug.

The information provided is:

$P(B) =0.01\\P(D|B)=0.99\\P(D|B^{c})=0.02$

(i)

The probability that there is a bug in the program given that the de-bugging program has detected the bug is, P (B | D).

The Bayes' theorem states that the conditional probability of an event E given that another event X has already occurred is:

$P(E|X)=\frac{P(X|E)P(E)}{P(X|E)P(E)+P(X|E^{c})P(E^{c})}$

Use the Bayes' theorem to compute the value of P (B | D) as follows:

$P(B|D)=\frac{P(D|B)P(B)}{P(D|B)P(B)+P(D|B^{c})P(B^{c})}=\frac{(0.99\times 0.01)}{(0.99\times 0.01)+(0.02\times (1-0.01))}=0.3333$

Thus, the probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii)

The probability that a bug is actually present given that the de-bugging program claims that bug is present is:

P (B|D) = 0.3333

Now it is provided that two tests are performed on the program A.

Both the test are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is:

P (Bugs are actually present | Detects on both test) = P (B|D) × P (B|D)

$=0.3333\times 0.3333\\=0.11108889\\\approx 0.1111$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii)

Now it is provided that three tests are performed on the program A.

All the three tests are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is:

P (Bugs are actually present | Detects on all 3 test)

= P (B|D) × P (B|D) × P (B|D)

$=0.3333\times 0.3333\times 0.3333\\=0.037025927037\\\approx 0.037$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

4 0

3 years ago

The coefficient of the term 76x2 is: (2 is the exponent of 76x)

Lady_Fox [76]

The definition of a coefficient is the number BEFORE the variable. So in 76x^2, the coefficient is 76.

6 0

3 years ago

Use the grouping method to factor this polynomial completely.

Alexxandr [17]

Answer:

The answer is A. (4x²+3)(x+2)

Step-by-step explanation:

If u multiply (4x²+3) by (x+2), u get 4x^3+8x^2+3x+6

4 0

2 years ago

Simplify the expression: 1.8-8.8g+7g+10.4+5.3g

worty [1.4K]

3.5g+12.2 is the simplified expression I believe

7 0

3 years ago

What is the point slope form? (8,9) m = 0.5 Please show work.

Simora [160]

(8,9) m = 0.5
point slope form
y - y1 = m (x - x1)
so
equation

y - 9 = 0.5(x - 8)

answer

y - 9 = 0.5(x - 8)

8 0

4 years ago