Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 percent of them still won't work properly. The driver must install eight converters today in an apartment building. Required:
a. Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
b. How many boxes should the driver load to ensure a 95percent probability of having enough working converters?

HDTV Converters

a. The probability that the driver will have enough working converters = 80% (100 - 20%).

b. The driver should load 10 boxes (or specifically 9.5 boxes) to ensure a 95% probability of having enough working converters.

Step-by-step explanation:

a) Data and Calculations:

Probability of HDTV converters known to not work property = 20%

This implies that 80% (100 - 20%) will work properly.

Number of converters to install today in an apartment building = 8

Number of converters placed in the truck = 10

b) The probability that the driver will have enough working converters = the probability of having properly working converters, which is 80%.  To ensure a 95 percent probability of having enough working converters, out of 10 converters, the number of boxes to load on the truck is 9.5 (10 * 95%) boxes.  Since there are no half boxes, it means that 10 boxes must be loaded, approximated to the nearest convenient number.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.