Given 2 distributions of chain strength (N) from 2 companies, A and B, which would you buy from (A or B) if the costs are about the same? Explain your answer using the follo Strength (N) Brand B Std Dev Strength (N) Brand A mean Std Dev mean 100,000 1000 250,000 500 ANS:
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.
Question 8
![Jose Hernandez - [Template] Chapter 7A TEST: Probability Distributions O
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Thirty (30) people were selected at random from a school population of 250. Based on this information, can we use a binomial distribution for this sampling distribution?
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Explain your answer.
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ANS: YES we can use binomial distribution, because it follows three categories of binomial distribution.
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7. Given this dicrete pdf, find the mean (Mu) and the standard deviation (sigma): (3 decimal place accuracy)
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2
4
8.
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P(x)
0.05
0.05
0.15
0.75
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ANS:
Mean (Mu) = 13.5
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Standard Deviation (sigma)= 4.511
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8. Given 2 distributions of chain strength (N) from 2 companies, A and B, which would you buy from (A or B) if the costs are about the same? Explain your answer using the follo
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Strength (N) Brand A
Strength (N) Brand B
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mean
Std Dev
mean
Std Dev
100,000
1000
250,000
500
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ANS:
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9. For a binomial distribution of 100 trials, with probability of "success" = 2/3, find:the probabilty that you will get at most 4 successes. Set up/ show work, but you may use your calclator to find each
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Be sure to show the syntax (write out what you see on the computer screen) for each call to the binomial program we used in class.
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ANS:Pr (x less than or equal to 4) approximately equal to sign 0
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