Approximately 90% of all people are right-handed. Consider a grouping of twenty people. Assume that the requirements for a binomial distribution have been satisfied. a. What is the probability that 5 of them will be right handed? b. What is the probability that at least 5 of them will be right handed (hint: this would likely be easy to calculate by using the complement) c. What is the probability that at most 5 of them will be right handed? d. What is the Mean and Standard Deviation of this situation? 2. Suppose you take a 10-question test where you can choose the options a, b, c,
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. Approximately 90% of all people are right-handed. Consider a grouping of twenty people. Assume that the requirements for a binomial distribution have been satisfied.
a. What is the probability that 5 of them will be right handed?
b. What is the probability that at least 5 of them will be right handed (hint: this would likely be easy to calculate by using the complement)
c. What is the probability that at most 5 of them will be right handed?
d. What is the Mean and Standard Deviation of this situation?
2. Suppose you take a 10-question test where you can choose the options a, b, c, and d, where only one option is correct.
a. What is the probability that you will get less than a 50% (5 or less questions correct)?
b. What is the probability that you will get at least a 70% correct (7 or more questions correct)?
3. Suppose ? is uniformly distributed from 2 to 5. Draw the area (shade it) being found in each part (a,b, or c) and find the area as a reduced fraction, decimal or percent.
a. ?(? ≥ 3) = b. ?(? ≤ 2.75) = c. ?(3.5 ≤ ? ≤ 4) =
4. You have reasons to believe that your plane will arrive at a time that is uniformly distributed between 10:30 and 10:50. By 10:37, you are still waiting for the plane.
a. What is the probability that you will have to wait at least another 5 minutes for the plane? Hint: Draw the graph (with the x and y axis labeled) and find the area being described.
b. Find the mean and standard deviation of the situation described above.
5. Find the probabilities associated with the standard
a. ?(? ≥ .23) = b. ?(? ≤ −2.36) = c. ?(−3.25 ≤ ? ≤ 1) =
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