Use the information below to answer questions17-18. A research is conducted to determine disease detection ability of a testing machine. We know that the probability that machine will detect the disease is 50%. The probability that the machine is not faulty is 60%, the machine ability to detect disease if it is not faulty is 80%. 17. Write down the value for the probability that the machine has the ability to detect disease or is not faulty...................................... 18. Write down the value for the probability that the machine has the ability to detect disease if it is faulty...................................
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.
Use the information below to answer questions17-18. A research is conducted to determine disease detection ability of a testing machine. We know that the
that machine will detect the disease is 50%. The probability that the machine is not
faulty is 60%, the machine ability to detect disease if it is not faulty is 80%.
17. Write down the value for the probability that the machine has the ability to detect disease or is not faulty......................................
18. Write down the value for the probability that the machine has the ability to detect disease if it is faulty...................................
Use the information below to answer question . Data measured on n=3,539 participants who attended the seventh examination of the Offspring in the Framing- ham Heart Study showed that the mean Total Serum Cholesterol for men is 192.4 with sample size 1,544, whereas the mean Total Serum Cholesterol for women is 207.1 with sample size 1,766. The population standard deviation for men is 35.2 and 36.7 for women. We now wish to assess whether there is a statistically significant difference in mean Total Serum Cholesterol between men and women using a 5% level of significance.
2. Given that the table or the critical value is -1.96, do we accept or reject the claim that the mean weight is 191 and why?........................................................................... ...............................................................................................
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