One classical experiment in extrasensory perception tests the ability of an individual to show telepathy - to read the mind of another individual. This test uses five cards with different designs, all known to both participants. In a trial, the 'sender' sees a randomly chosen card and concentrates on the design. The 'receiver' attempts to guess the identity of the card. Each of the five cards is equally likely to be chosen, and only one card is the correct answer at any point. Out of 10 trials, a receiver got four cards correct. What is the probability of that particular outcome (4 correct guesses out of 10) if the receiver was guessing, that is picking the cards at random? Round off to THREE digits after the decimal point. Out of 10 trials, a receiver got four cards correct. (This is identical to question 5). What is the P-value from a one tailed binomial test corresponding to this result? Round off to TWO digits after the decimal point. Out of 10 trials, a receiver got four cards correct. (This is identical to question 5). What is the P-value from a two tailed binomial test corresponding to this result? Round off to TWO digits after the decimal point.
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.
One classical experiment in extrasensory perception tests the ability of an individual to show telepathy - to read the mind of another individual. This test uses five cards with different designs, all known to both participants. In a trial, the 'sender' sees a randomly chosen card and concentrates on the design. The 'receiver' attempts to guess the identity of the card. Each of the five cards is equally likely to be chosen, and only one card is the correct answer at any point.
Out of 10 trials, a receiver got four cards correct. What is the probability of that particular outcome (4 correct guesses out of 10) if the receiver was guessing, that is picking the cards at random? Round off to THREE digits after the decimal point.
Out of 10 trials, a receiver got four cards correct. (This is identical to question 5). What is the P-value from a one tailed binomial test corresponding to this result? Round off to TWO digits after the decimal point.
Out of 10 trials, a receiver got four cards correct. (This is identical to question 5). What is the P-value from a two tailed binomial test corresponding to this result? Round off to TWO digits after the decimal point.
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