A school awards trophies to all those students who score above 80% in their end of year exams. There are 25 students taking the end of year exam and each student has a 30% chance of scoring above 80%. What are the probabilities of i. What is the probability of 8 trophies being awarded ii. What is the probability of less than 2 trophies being awarded iii. What is the mean and standard devation of the number of trophies awarded
A school awards trophies to all those students who score above 80% in their end of year exams. There are 25 students taking the end of year exam and each student has a 30% chance of scoring above 80%. What are the probabilities of i. What is the probability of 8 trophies being awarded ii. What is the probability of less than 2 trophies being awarded iii. What is the mean and standard devation of the number of trophies awarded
A school awards trophies to all those students who score above 80% in their end of year exams. There are 25 students taking the end of year exam and each student has a 30% chance of scoring above 80%. What are the probabilities of i. What is the probability of 8 trophies being awarded ii. What is the probability of less than 2 trophies being awarded iii. What is the mean and standard devation of the number of trophies awarded
A school awards trophies to all those students who score above 80% in their end of year exams. There are 25 students taking the end of year exam and each student has a 30% chance of scoring above 80%. What are the probabilities of
i. What is the probability of 8 trophies being awarded
ii. What is the probability of less than 2 trophies being awarded
iii. What is the mean and standard devation of the number of trophies awarded
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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