Binomial Distributions Assitance?
1 answer:
We need to find the probability of atleast one failure in 5 trails
Probability of success = 30% = 3/10
The opposite meaning of atleast one failure is all success (no failures)
Probability of (atleast one failure ) = 1- Probability ( success)
First we find probability of success
Formula for binomial distribution
All success so n=5, r=5, p= 3/10, q= 1-p = 7/10
Probability (success) =
=
Probability (atleat one failure) = 1 -
= 0.92224
= 92.2%
You might be interested in
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
The distance A'B' is √10 =3.162 units
Answer:
The probability that A selects the first red ball is 0.5833.
Step-by-step explanation:
Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
To find : What is the probability that A selects the first red ball?
Solution :
A wins if the first red ball is drawn 1st,3rd,5th or 7th.
A red ball drawn first, there are places in which the other 2 red balls can be placed.
A red ball drawn third, there are places in which the other 2 red balls can be placed.
A red ball drawn fifth, there are places in which the other 2 red balls can be placed.
A red ball drawn seventh, there are places in which the other 2 red balls can be placed.
The total number of total event is
The probability that A selects the first red ball is