MIME-Version: 1.0 Content-Location: file:///C:/1F5A2237/T-102Lesson7.3S'07.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Lesson 7

Lesson 7.3<= /span>

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Objective:  =        To use simulations in probability.

 

We can use simulations to study events that are too co= mplex to study by other means.

 

A simulati= on is a technique used to act out a problem by conducting experiments whose outcomes are analogous to the original problem.

 

 Princ= iples and Standards states:

If simulations= are used, teachers need to help students understand what the simulation data represent and how they relate to the problems situation, such as flipping coins.

 

Suppose you want to know how many children a couple mi= ght expect to have if they want to be sure to have at least one boy and at least one girl.

 

1.      =    Birth of boy and girl-equally likely

2.      =    Sex of one child independent of sex of any other ch= ild

 

Let's use a coin.&nbs= p; How could we use a die?

 

 

 

 

 

 

Average number of tosses per string is

Let’s simulate tossing a coin 150 times.  If we use a table of random digits= (page 469), we can let heads be represented by even numbers an= d tails be represented by odd numbers.  Can you think of another way to represent heads and tails?

Use table page 469 to simulate 150 tosses.

 

 

 

 

 

 

 

A baseball player has a batting average of 0.300; that= is, his probability of getting a hit on any particular time at bat is 0.300.  Estimate the probability that he w= ill get at least one hit in his next three times at bat.

 

074   &= nbsp;  431      534      640      653      842      382      443      088      834      773      180

748   &= nbsp;  633      950      615      984      134      886      255      927      159      665      649

693   &= nbsp; 

 

A school has 423 students.  The principal is to pick 20 studen= ts at random from the school to go to a concert.=   How can this be done using a random digit table?

 

 

 

 

 

 

 

 

 

 

 

 

It is reported that 20% of people who come into contac= t with a person infected with strep throat will contract the disease.  How might you simulate the probabi= lity that at least one child in a three-child family will catch the disease, giv= en that each child has come into contact with the infected person?  Use the random digit table.

 

 

 

 

 

 

 

 

 

 

A snack company has put 5 different prizes in its snack boxes-one per box.  Assuming t= he same number of each toy has been used, how many boxes of snacks should you expect to buy in order to get all 5 toys?

 

Use a die.