Question

4a. [2 marks]
Packets of biscuits are produced by a machine. The weights X, in grams of packets of
biscuits can be modelled by a normal distribution where X – Nu, 02). A packet of
biscuits is considered to be underweight if it weighs less than 250 grams.
Given that u = 253 and o = 1.5 find the probability that a randomly chosen packet of
biscuits is underweight.


4b. [3 marks]
The manufacturer makes the decision that the probability that a packet is underweight
should be 0.002. To do this u is increased and o remains unchanged.
Calculate the new value of u giving your answer correct to two decimal places.
4c. [2 marks]


The manufacturer is happy with the decision that the probability that a packet is
underweight should be 0.002, but is unhappy with the way in which this was achieved.
The machine is now adjusted to reduce o and return u to 253.
Calculate the new value of o.​

Answer 1

Ans

Step-by-step explanation:Packets of biscuits are produced by a machine. The weights X, in grams of packets of

biscuits can be modelled by a normal distribution where X – Nu, 02). A packet of

biscuits is considered to be underweight if it weighs less than 250 grams.

Given that u = 253 and o = 1.5 find the probability that a randomly chosen packet of

biscuits is underweight.