arrow_forward Oh no! Our expert couldn't answer your question. Don't worry! We won't leave you hanging. Plus, we're giving you back one question for the inconvenience. Here's what the expert had to say: Hi and thanks for your question! Unfortunately it looks incomplete. Please resubmit the question with proper and clear information We've credited a question back to your account. Apologies for the inconvenience. Ask Your Question Again 6 of 10 questions left until 9/3/20 Question Asked Aug 4, 2020 1 views Suppose that the life length (in hours) of a certain radio tube is continuous random variable X with probability density function f(x) = 100/x2 x > 100= 0 elsewhere What is the probability that a tube will last less than 200 hours, if it is known that the tube is still functioning after 150 hours of service? What is the probability that if 3 such tubes are installed in a set so that there is a probability of 0.5 that after 150 hours of services all of them are still functioning?
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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Suppose that the life length (in hours) of a certain radio tube is continuous random variable X with
f(x) = 100/x2 x > 100= 0 elsewhere
- What is the probability that a tube will last less than 200 hours, if it is known that the tube is still functioning after 150 hours of service?
- What is the probability that if 3 such tubes are installed in a set so that there is a probability of 0.5 that after 150 hours of services all of them are still functioning?
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