Question

Among fatal plane crashes that occurred during the past 70 ​years, 581 were due to pilot​ error, 56 were due to other human​ error, 579 were due to​ weather, 555 were due to mechanical​ problems, and 526 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it? Complete the relative frequency distribution below. Cause Relative Frequency Pilot error nothing​% Other human error nothing​% Weather nothing​% Mechanical problems nothing​% Sabotage nothing​%

Answer 1

`\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}`

Pilot error, better training of pilots may reduce accidents.

Explanation:

The total number of crashes is:

`n = 581+56+579+555+526\\n=2297\ crashes`

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

`\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}`

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.