Question

In: Statistics and Probability

1. The following table shows the frequency of outcomes when two distinguishable coins were tossed 6,800...

1. The following table shows the frequency of outcomes when two distinguishable coins were tossed 6,800 times and the uppermost faces were observed. HINT [See Example 2.]

Outcome HH HT TH TT
Frequency 1,800 1,650 1,900 1,450

What is the relative frequency that heads comes up at least once? (Round your answer to four decimal places.)

2. The following table shows the frequency of outcomes when two distinguishable coins were tossed 5,200 times and the uppermost faces were observed. HINT [See Example 2.]

Outcome HH HT TH TT
Frequency 1,400 1,250 1,500 1,050

What is the relative frequency that the first coin lands with heads up? (Round your answer to four decimal places.)

Solutions

Expert Solution

1) P(heads comes up at least once) = P(HH) + P(HT) + P(TH)

                                                          = 1800/6800 + 1650/6800 + 1900/6800

                                                          = 0.7868

2) P(first coin lands with heads up) = P(HH) + P(HT)

                                                        = 1800/6800 + 1650/6800

                                                        = 0.5074


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