Question 1: The following are the final exam scores of 7 randomly selected Econ 103 students: 67, 34, 98, 78, 76, 55 and 80. Find the sample mean and the sample standard deviation.

Question 2: A die is rolled.

a) Write down the sample space of this experiment

b) Find the probability that an even number is obtained

Question 3: Two coins are tossed.

a) Write down the sample space of this experiment

b) Find the probability that two heads are obtained

Question 4: A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head (hint: Conditional Probability)

Question 5: Flip a coin 3 times and observe the sequence of heads and tails. Let X be the number of heads in the observed sequence.

a) Write down the probability distribution of X

b) Find the expected number of heads for a trial of this experiment, that is find 𝐸(𝑋) c) Find Variance 𝜎𝑋 2 and Standard Deviation 𝜎𝑋

Question 6: If the weight of a pumpkin is normally distributed with mean 34 lbs. and standard deviation 5 lbs., what is the probability that a randomly selected pumpkin will weigh between 33 and 40 lbs.?

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