Tutorial solutions week 7

Then assume x is a binomial random variable with n150

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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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