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What is the expected number of heads

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Reference no: EM13857288

Statistical Methods

Discrete Probability Distribution

Q.1

Categorize each of the following as continuous or discrete. The random variables are:

(a) A is ‘the age in completed years of the first person I see wearing a hat'.

(b) B is ‘the length of the next car to enter the car park'.

(c) ) C is ‘how many cows I will see before I reach Iowa?'

(d) D is ‘the date next July of the day with the highest temperature'.

Q.2.

Let X=number of heads obtained when tossing a fair coin 3 times.

(a) Create a probability distribution table for possible values of X

X

P(X=x)

(b) What is the expected number of heads, E(X)?

(c) What is the variance?

Q.3

The random variable X has the probability distribution shown

X

1

2

3

4

5

P(X=x)

7c

5c

4c

3c

c

(a) Find the value of c (Hint: Use the fact--- total probability=1)

(b) Calculate the mean and variance.

Q.4

Mr. A plays a die game by throwing a die. He wins $4 if he throws 1, wins $6 if he throws 6 and loses $2 if he throws other numbers. What is his expected loss or win per game? If he plays the game 150 times, how much he will win or lose?

Reference no: EM13857288

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