In: Statistics and Probability
(a) According to the Ministry of Health, the height of
Guinean travellers who were quarantined in Tamale for the novel
coronavirus were normally distributed about a mean of 160cm and a
standard deviation of 8cm. Find the probability that a traveller
selected at random has
i) Height between 148cm and
175cm
ii) Height above
164cm
iii) Height below
179cm
b) The average time taken for the nearest Covid-19 ambulance team
to convey a patient showing symptoms to the nearest designated
hospital follows the normal distribution about a mean of 60 seconds
and a standard deviation of 8 seconds. If 200 patients were
selected at random, how many of them could be taken to the hospital
in
i) Less than 50
seconds
ii) More than 64
seconds
c) The Shelf life of a particular dairy product is normally
distributed with a mean of 12 days and a variance of 9 days. About
what percentage of the products last between 13 and 16 days
[Total: 20 Mark