Binomial distribution formula: P(x) = (n k) p^k * (1 - p)^n - k
a) Probability that four parts are defective = 0.01374
P(4 defective) = (25 4) (0.04)^4 * (0.96)^21
P(4 defective) = 0.01374
b) Probability that at least one part is defective = 0.6396
Find the probability that 0 parts are defective and subtract that probability from 1.
P(0 defective) = (25 0) (0.04)^0 * (0.96)^25
P(0 defective) = 0.3604
1 - 0.3604 = 0.6396
c) Probability that 25 parts are defective = approximately 0
P(25 defective) = (25 25) (0.04)^25 * (0.96)^0
P(25 defective) = approximately 0
d) Probability that at most 1 part is defective = 0.7358
Find the probability that 0 and 1 parts are defective and add them together.
P(0 defective) = 0.3604 (from above)
P(1 defective) = (25 1) (0.04)^1 * (0.96)^24
P(1 defective) = 0.3754
P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358
e) Mean = 1 | Standard Deviation = 0.9798
mean = n * p
mean = 25 * 0.04 = 1
stdev = 
stdev = 
= 0.9798
Hope this helps!! :)
Answer:
Approximately 4.67 feet of fabric is required for one pillow case.
Step-by-step explanation:
We are given the following in the question:
Number of pillow cases to be made by Jenny = 3
Amount of fabric Jenny has = 14 feet
Each pillow case use same amount of fabric.
Amount of fabric used to make 1 pillow case =
Thus, approximately 4.67 feet of fabric is required for one pillow case.
Answer:
(a) 
Multiplicative inverse of w will be 
(B) As w is same as the product of 
So there multiplicative inverse will also be same
Step-by-step explanation:
We have given two complex numbers
and 
(a) First we have to find 
So 
As we know that 
So
Multiplicative inverse :
It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1
So multiplicative inverse of w will be
Because when we multiply 
with it gives result as 1
(b) As w is same as the product of
So there multiplicative inverse will also be same
Answer:
C
Step-by-step explanation:
193b=212.3
193b/193=212.3/193
(divide by 193 to get the value of b)
193 cancels 193
b= 1.098445596
(round off to one decimal place)
b=1.1
Hope its helps ❤️
Answer:
36x+42 if you need it simplified
x=-7/6 if you set the equation equal to zero
