Before introducing a new rule the secretary of a golf club decided to find out how members might react to this rule.
Explain why the secretary decided to take a random sample of club members rather than ask all the members.
Suggest a suitable sampling frame.
Identify the sampling units.
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The continuous random variable \(L\) represents the error, in mm , made when a machine cuts rods to a target length. The distribution of \(L\) is continuous uniform over the interval [-4.0, 4.0].
Find
\(\mathrm { P } ( L < - 2.6 )\),
\(\mathrm { P } ( L < - 3.0\) or \(L > 3.0 )\).
A random sample of 20 rods cut by the machine was checked.
Find the probability that more than half of them were within 3.0 mm of the target length.