Practice with
Binomial Probability
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Answer the following questions dealing with binomial probabilities.
Watch that wording!!!
Grab your graphing calculator.

1. The probability that Kyla will score above a 90 on a mathematics test is 4/5.  What is the probability that she will score above a 90 on exactly three of the four tests this quarter?
Choose:

                 

                      

 


 

2. Which fraction represents the probability of obtaining exactly eight heads in ten tosses of a fair coin?
Choose:

45/1024
64/1024
90/1024
180/1024

 

 

3. Experience has shown that 1/200 of all CDs produced by a certain machine are defective.  If a quality control technician randomly tests twenty CDs, compute each of the following probabilities:
      P(exactly one is defective)
      P(half are defective)
      P( no more than two are defective)

 


Answer

 

 

4.

A fair coin is tossed 5 times.  What is the probability that it lands tails up exactly 3 times?

Choose:

                                                   

 

 

5.

After studying a couple's family history, a doctor determines that the probability of any child born to this couple having a gene for disease X is 1 out of 4.  If the couple has three children, what is the probability that exactly two of the children have the gene for disease X?

Answer

 

 

6.

If a binomial experiment has seven trials in which the probability of success is p and the probability of failure is q, write an expression that could be used to compute each of the following probabilities:
     P(exactly five successes)
     P(at least five successes)
     P(at most five successes)


Answer 

 


 

7. On any given day, the probability that the entire Watson family eats dinner together is 2/5.  Find the probability that, during any 7-day period, the Watson's each dinner together at least six times.

Answer 

 

 

8.

When Joe bowls, he can get a strike (knock down all of the pins) 60% of the time.  How many times more likely is it for Joe to bowl at least three strikes out of four times as it is for him to bowl zero strikcs out of four tries?  Round answer to the nearest whole number.

Answer 



 

9.

A board game has a spinner on a circle that has five equal sectors, numbered 1, 2, 3, 4, and 5, respectively.  If a player has four spins, find the probability that the player spins an even number no more than two times on those four spins.

Answer

 


 

10.

Give an example of an experiment where it is appropriate to use a normal distribution as an approximation for a binomial probability.  Explain why in this example an approximation of the probability is a better approach than finding the exact probability.

Answer