Homework 5

1.  38 of the 405 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is​ defective? Express your answer as a percentage rounded to the nearest hundredth without the % sign.

2.  In a genetics experiment on​ peas, one sample of offspring contained 91 green peas and 88 yellow peas. Based on those​ results, estimate the probability of getting an offspring pea that is green.  Express your answer as a percentage rounded to the nearest hundredth without the % sign.

3.   Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. ​

Drive-thru Restaurant  /  A  /  B  /  C  /  D
Order Accurate         / 10 / 10 / 38 / 29
Order Not Accurate     / 16 / 5 / 32 / 9

If one order is​ selected, find the probability of getting an order that is not accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

4.   A research center poll showed that 80.56​% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this​ belief?  Express your answer as a percentage rounded to the nearest hundredth without the % sign.

5.   Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. ​

Drive-thru Restaurant  /  A  /  B  /  C  /  D
Order Accurate         / 21 / 12 / 23 / 13
Order Not Accurate     / 23 / 4 / 5 / 10

If one order is​ selected, find the probability of getting an order from Restaurant A or an order that is not accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

6.  Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. ​

Drive-thru Restaurant  /  A  /  B  /  C  /  D
Order Accurate         / 42 / 7 / 39 / 24
Order Not Accurate     / 42 / 41 / 5 / 26

If one order is​ selected, find the probability of getting an order from Restaurant C or an order that is accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

7.  

Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. ​

Drive-thru Restaurant  /  A  /  B  /  C  /  D
Order Accurate         / 58 / 30 / 21 / 14
Order Not Accurate     / 18 / 32 / 57 / 17

If three different orders are​ selected, find the probability that they are all from restaurant B. Assume that the orders are selected with replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign.

8.   Use the data in the following​ table, which lists​ drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. ​

Drive-thru Restaurant  /  A  /  B  /  C  /  D
Order Accurate         / 20 / 18 / 10 / 16
Order Not Accurate     / 41 / 2 / 19 / 17

If three different orders are​ selected, find the probability that they are all from restaurant B. Assume that the orders are selected without replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign.