Q.No. 5

Max Marks10

A. Scores on IQ tests have a bell-shaped distribution with mean = 100 and standard deviation = 10. Discuss what the Empirical Rule implies concerning individuals with IQ scores of 110, 120, and 130.

B. Describe the conditions under which Chebyshev's Theorem may be applied.

C. A sample data set of size n = 30 has mean equals to 6 and standard deviation equals to 2.

What is the maximum proportion of observations in the data set that can lie outside the interval (2, 10)?

D. A football team has two matches to play. The probability that the team wins is 0.6. The probability that the team draws is 0.3.

(a) Complete the tree diagram

(b) Calculate the probability of all the outcomes.

E How many three letter word are formed using the letters of the word TIME?