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Maths 141: Introductory Statistics Question Paper

Maths 141: Introductory Statistics 

Course:Bachelor Of Science

Institution: Egerton University question papers

Exam Year:2011



1.The mean and variance of abinomial variable X with parameters n and p are 16 and 0.8.
Find
a)P(X=0)
b)P(X=1)
c)P(X?)
2.The following data represents the distance travelled and the corresponding to the time taken in Minutes to get work by people who work for a certain company in Nakuru
Distance (Km) 3 5 7 8 10 11 12 15 18 20
Time (minutes) 7 20 20 15 25 17 20 32 44 45

a)Fit a simple linear regression line for predicting the time,
b)Calculate the correlation
c)Predict time y,for X=25 km

3.Consider two urns.The first containing two white and seven black balls, and the second containing five white and six black balls. We flip a fair coin and then draw a ball from the first urn depending upon whether the outcome was heads or tails. What is the conditional probability that the outcome of the toss was heads given that a ball was selected?
4.The probability that a day is rainy is ¼. The probability that I carry an umbrella on a rainy day is 1/7 and that I carry an umbrella on a non-rainy day is 2/7, what is the probability that:
a)It will not be rainy and I carry an umbrella
b)I shall carry an umbrella.




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