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.




Answer:
He spent around $ 52.17 in each month.
Step-by-step explanation:
Last year the power bill price = $ 626.14 ≈ $ 626
We know that in a year 12 months. so power bill of each month in last year is calculated as follows


$ 52.17
Therefore he spent around $ 52.17 in each month.
Answer:
(0, 2)
Step-by-step explanation:
1. Plot the pionts on a graph
2.You can see the possible turning point is (0, 2). It changes from decreasing to increasing.
228 - 48 = 180
180/48 = 3.75
Its increase 375%
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units