Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the probability of not meeting specification for the first component is equal to 0.09. For the second and third components the probabilities of not meeting specifications are 0.04 and 0.08 respectively. Assuming that the components are independent in terms of not meeting the specification, determine the probability mass function of the number of components in the assembly that does not meet specification.
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.
- Genuine motor company manufactures an assembly which consists of three mechanical components. Suppose that the
probability of not meeting specification for the first component is equal to 0.09. For the second and third components the probabilities of not meeting specifications are 0.04 and 0.08 respectively. Assuming that the components are independent in terms of not meeting the specification, determine the probability massfunction of the number of components in the assembly that does not meet specification.
2. Mwasalat runs bus service from Muscat to Dubai every day with the seat capacity of 50 passengers. The company has noticed that even though customer purchases the ticket, some of them do not show up. Keeping this information in mind, the company issues 3 tickets more than the seat capacity. According to their experience, the probability that the passenger show up for the journey is 95%. What is the probability that all the passengers who show up can get a ride?
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