PLSSSSS HELPPP solve for x, round to nearest tenth

A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d

Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

$P(A) = P_{1} + P_{2} + P_{3}$

In which $P_{1}$ is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:

$P_{1} = 0.35*0.25 = 0.0875$

$P_{2}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{2} = 0.15*0.05 = 0.0075$

$P_{3}$ is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

$P_{3} = 0.50*0.15 = 0.075$

So

$P(A) = 0.0875 + 0.0075 + 0.075 = 0.17$

P(B) is the probability the product chosen being C, that is 50% = 0.5.

P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.

So, the probability that the defective piece came from C is:

$P = \frac{0.5*0.15}{0.17} = 0.4412$

There is a 44.12% probability that the defective product came from C.

3 0

3 years ago

What assumption have you made in answering part b

emmasim [6.3K]

You're assuming that this data set represents all of Mrs. Hassaan's pupils. Certain students could be missing from the histogram - for instance, there could be one or two students who missed the test, but for certain reasons will be taking a make-up exam. Their grade would not be recording in this data set, but they still contribute to the class size, and so would be unaccounted for here.

4 0

2 years ago

The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9

Soloha48 [4]

Answer:

The z score for the airplane arriving 13 minutes after arrival time is 0.33

Step-by-step explanation:

Using normal distribution,

The average lateness for one of the top airline companies is 10 minutes. So our mean, u = 10

The variance, s of the lateness measure is calculated as 9.

x =13 which stands for arrival time.

Using normal distribution,

z = (x - u)/s

z = (13 - 10)/9 = 3/9 = 0.33

The z score for the airplane arriving 13 minutes after arrival time is 0.33. The probability value of the z score can be found by looking at the Normal distribution table

6 0

2 years ago

Sean spent $38 for shorts. This was $4 less than twice what he spent for a shirt. The equation 2x − 4 = 38 can be used to find t

spayn [35]

Answer:21$

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-7, 7) and (3, 7)(

Andreas93 [3]

Answer:

y=7

Step-by-step explanation:

The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.

The y value of both points is 7.

8 0

2 years ago