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Unformatted text preview: om variable with n=150 and p=0.4. Because n is
large we can use the normal approximation to the binomial where:
( ) Thus incorporating the continuity correction we need to find:
( ) ( ) ( ( )
) ( )
( (b) ) Calculate the probability that between 50 and 100 (inclusive)
households have internet access?
( ) ( ) (
( ) (c) There is a probability of 0.9 that the number of households with
internet access equals or exceeds what value?
( ( ) ) ( ) There is a 90% chance that the number of households with internet access is
52 or more.
5. The manufacturer of a particular handmade article takes place in two stages.
The time taken for the first stage is approximately normally distributed with
a mean of 30 minutes and a standard deviation of 4 minutes. The time taken
for the second stage is also approximately normally distributed, but with a
mean of 10 minutes and a standard deviation of 3 minutes. The times to
complete the two stages of production are indep...
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