Answer:
to four decimal places.
to four decimal places.
Step-by-step explanation:
a)
Assuming X to be the random variable which replace the amount of defectives and follows standard normal distribution whose mean (μ) is 10 ounces and standard deviation (σ) is 0.15
The values of the random variable differ from mean by ± 1 \such that the values are either greater than (10+ 0.15) or less than (10-0.15)
= 10.15 or 9.85.
The probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:
Using the Excel Formula ( = NORMDIST (1) ) to calculate for the value of z =1 and -1 ;we have: 0.841345 and 0.158655 respectively
to four decimal places.
b) Through process design improvements, the process standard deviation can be reduced to 0.05.
The probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:
Using the Excel Formula ( = NORMDIST (3) ) to calculate for the value of z =3 and -3 ;we have: 0.99865 and 0.00135 respectively
to four decimal places.
(c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?
The main advantage of reducing the process variation is that the chance of getting the defecting item will be reduced as we can see from the reduction which takes place from a to b from above.
Answer:
Step-by-step explanation:
2a+3b+2k= $3.19
3a+4b+2k=$4.12
1a+1b+4k=$3.01
Answer:
Step-by-step explanation:
Total number of questions = 20
Possible options for each question = 4
Sample space contains the total number of possible outcomes.
For every question there are 4 possible ways to select an answer. This holds true for all 20 questions. Selecting an answer for a question is independent of other questions/answers,
According to the counting principle, the total number of possible outcomes will be the product of the number of possible outcomes of individual events. Possible outcomes for each of the 20 questions is 4. This means we have to multiply 4 twenty times to find the total number of possible outcomes.
So, the number of elements in the sample space would be:
The first one is 4
The second one is 2.449489743 or 2.45
Answer: 4
Step-by-step explanation: 1) You need to first understand the question and a way to do that is to list plainly the information given.
2) Let the number be (X)
3) For the equation from the first sentence given; 3(9x-1)
4) From the second sentence; 7(7+2x)
5) Equating both sentences together, since the question says they are the same 3(9x-1) = 7(7+2x)
6) Opening the bracket/expanding the equation.... 27x-3=49+14x
Solving further we will have 13x = 52
X= 52/13
= 4
