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Q1) Weight of bottle of Starbucks Frappuccino Mocha Coffee is normally distributed with mean 9.5 oz and standard deviation 0.5 oz.

a) When a bottle of coffee is randomly chosen, determine the probability that it is heavier than 10 oz.?

b) Think of 4-pack of Starbucks Frappuccino Mocha Coffee as random sample of size 4 from population of all products. Determine the probability that mean weight of 4 bottles of coffee in chosen pack is between 8.8 oz and 9.7 oz.?

Q2) It is claimed that 55% of marriages in California end in divorce within first 15 years. A large study was started 15 years ago and has been tracking hundreds of marriages in California.

a) Assume 10 marriages are arbitrarily selected. Determine the probability that less than 2 of them ended in divorce?

b) Assume 100 marriages are randomly selected. Determine the probability that less than 20 of them ended in a divorce?

Q3) Assume that a particular candidate for public office is in fact favoured by 48% of all registered voters. Polling organization is about to take sample of voters and will use sample proportion to estimate. How many voters required to be sampled to evaluate the proportion within 0.05 with 95% confidence?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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