Flying to Kampala with a tailwind a plane averaged 158km per hr ... The the return trip the plane only averaged 112 km per . . w
1 answer:
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Answer:
This statement can be made with a level of confidence of 97.72%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8.1 mm
Standard Deviation, σ = 0.5 mm
Sample size, n = 100
We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(mean thickness is less than 8.2 mm)
P(x < 8.2)
Calculation the value from standard normal z table, we have,
This statement can be made with a level of confidence of 97.72%.
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
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:
In which is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:
is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:
is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:
So
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:
There is a 44.12% probability that the defective product came from C.