MATH 180 MATH180 MATH/180 Week 5, Assignment, questions and answers.doc

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MATH 180 MATH180 MATH/180 Week 5, Assignment, questions and answers.doc

Week 5: Chapter 5 Homework 162 Homework

Coin Flips:The table below gives the probability distribution for the number of heads in four tosses of a fair coin.

x=

# of heads  P(x)

0              1/16

1              4/16

2              6/16

3             4/16

4             1/16

(a) What is the mean of the probability distribution?

(b) What is an accurate interpretation of this value?

(b) This value represents the mean number heads in 4 flips of a coin if you were to flip a coin4 times over and over and over. In other words, if you were to flip a fair coin many many times and record the number of heads each time. Then, when you average all of these counts, you should get 2.0

Roll of a Die:Suppose you roll a single, six-sided die with numbers 1 – 6 printed on the sides. Assume that each side has an equal probability of being rolled. Enter your probabilities as a decimal rounded to 3 decimal places or as a simplified fraction.

(a) Complete the probability distribution for the number showing on one roll of a die

(b) What is the mean of the probability distribution?

(c) What is an accurate interpretation of this value?

averaged all these values, you should get the value in part (b). It is the value of everysingle roll of a fair die.It is the probability of rolling a 5.

MATH 180 MATH180 MATH/180 Week 5, Assignment, questions and answers.doc

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