2 The weight, \(X\) grams, of the contents of a tin of baked beans can be modelled by a normal random variable with a mean of 421 and a standard deviation of 2.5.
- Find:
- \(\mathrm { P } ( X = 421 )\);
- \(\mathrm { P } ( X < 425 )\);
- \(\mathrm { P } ( 418 < X < 424 )\).
- Determine the value of \(x\) such that \(\mathrm { P } ( X < x ) = 0.98\).
- The weight, \(Y\) grams, of the contents of a tin of ravioli can be modelled by a normal random variable with a mean of \(\mu\) and a standard deviation of 3.0 .
Find the value of \(\mu\) such that \(\mathrm { P } ( Y < 410 ) = 0.01\).