Given an Experiment in Which a Fair Coin Is Tossed

question 103

Multiple Choice

Given an experiment in which a fair coin is tossed three times,the sample space is S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}.Event A is defined as tossing one head (H) .What is the event A^C and what is the probability of this event?

• A)A^C = {TTT,HHH,HTH};P(A^C)= 0.375
• B)A^C = {TTT,THH,HHH,HHT};P(A^C)= 0.500
• C)A^C = {TTT,HHH,HHT,HTH,HTT};P(A^C)= 0.625
• D)A^C = {TTT,HHT,HTH,THH,HHH};P(A^C)= 0.625

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Definitions:

T Procedure

A statistical method used to estimate the mean of a population, particularly when the sample size is small and the population standard deviation is unknown.

Stemplot

A graphical representation of data where each value is split into a "stem" (the leading digits) and a "leaf" (the last digit).

Boxplot

A graphical depiction of data through their quartiles, highlighting the median, range, and outliers, and facilitating comparisons between distributions.

Nonparametric Procedures

Statistical methods that do not assume a specific distribution form for the data and are used when data doesn't meet the assumptions of parametric tests.