The complete and proper assembly of a certain airplane model requires installing 24,000 rivets. The table below shows the number of missing rivets at the end of this airplane assembly line during several days. Airplane %23 # of missing rivets # of missing rivets # of Airplane missing rivets Airplane # #3 201 210 12 218 14 16 202 203 211 212 219 220 23 11 14 16 204 205 206 213 214 221 222 223 224 225 19 10 11 25 22 15 8 215 216 217 |7 28 15 207 208 11 209 21 Assuming that each airplane is one sample, and the process was believed to be under control when this data was collected, what would be the control chart limits for an np-chart using this data? UCL=25.278, LCL=2.802 UCL=12.6388, LCL=1.4011 UCL=14.0985, LCL=13.9815 O UCL=0.001053, LCL=0.000116 O UCL=14.0417, LCL=14.0382
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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