Answer:




Step-by-step explanation:
The probability mass function P(X = x) is the probability that X happens x times.
When n trials happen, for each
, the probability mass function is given by:

In which p is the probability that the event happens.
is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

The sum of all P(X=x) must be 1.
In this problem
We have 3 trials, so 
The probability that a wafer pass a test is 0.7, so 
Determine the probability mass function of the number of wafers from a lot that pass the test.




The difference between point and the vertx is that a vertex can be used to create different geometric shapes and a point is always part of the shape.
Step-by-step explanation:
Though Vertex and Point sound similar, they are different in many crude aspects. Vertex is defined as the meeting point of two sides, lines or any extended parts. The point, in turn, denotes the singular identity of a place.
Hence vertex can be used to draw any geometrical pattern. It can be done by extending or protruding the given body parts which would result in a new geometrical figure.
Points would constitute every part of that geometrical surface that we wish to identify.
In order to determine the area of the lot of land in squared yards, proceed as follow:
Convert the dimensions of the rectangle to yards, by using the given conversion factor:

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

Hence, the area of the lot of land is 656.25 sq yd
In 1981<span>, about $1.1 </span>million was lost due to fires. in 1988, the loss<span> was about $9.6 million - 950063. ... Brainly has millions of high quality answers, </span>all<span> of them carefully moderated by our ... Let's </span>find<span> out, how many </span>percent<span> did it increased. => </span>9.6 million<span> - </span>1.1 million<span> = 8 .5 millions , this amount was the</span>difference<span> => 8.5 million ...</span>
Answer: 16384
Step-by-step explanation:
Given, Total jars = 4
Total marbles = 7
Since we need to put marbles in 4 different jars, we need to choose a jar each time.
Possible choices for jars =4
Number of time we need to choose = number of marbles
So, by fundamental counting principle, we have
Total ways to put 7 marbles in 4 jars = 

Hence, the required number of ways =16384