(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)
(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918
(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325
(d) P(X<20)=∑ P(X=i) for i=0 to 19
=0.00000003513 (individual probabilities are very small).
Answer:
One time
Step-by-step explanation:
The probability of picking a purple marble once is 1/6, so if I pick a marble 6 times, then (1/6)*6=1
<h2>
Answer:</h2>
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
First get the tangent vectors by differentiating r1 and r2
Evaluate at t=0
Use identity for angle between 2 vectors:
Evaluate dot product and unit vectors:
Sub into identity and solve for theta:
Answer:
Angle of intersection is about 79 degrees.
Answer:
Length of diagonal in the first top figure is 13 yd
Okay for this one, the formula of a diagonal in a cuboid is the root of sum of squares
length, breadth and height
so
D = root of 12^2 + 4^2 + 3^2
D = root of 144 + 16 + 9
D = root 169
D = 13yd
Length of diagonal in the bottom figure is 10.77 which is 10.8m
For this one, you have to find the diameter of base first
Since radius of the base is 5 diameter = 10
Since its a right angled triangle, Hypotenuse square = sum of sides square
Diagonal^2 = 10^2 + 4^2
D^2 = 100 + 16
D^2 = 116
D = root 116
D = 10.77
D = 10.8 m
