(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 (a) Height between 148cm and 175cm (b) Height above 164cm (c) Height below 179cm

a)

b)

c)

Step-by-step explanation:

Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:

Where and

Part a

We are interested on this probability

We can ue the z score formula given by:

Using this formula we got:

And we can find this probability with this difference using the normal standard distribution or excel:

Part b

And we can find this probability with this difference using the normal standard distribution or excel:

Part c

And we can find this probability with this difference using the normal standard distribution or excel:

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17