(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:
Step-by-step explanation:
Given
Required
Determine the second power
The second power of an expression is the square of the expression.
So, the second power of is
Solving further:
Hence:
Option (c) is correct
Answer:
Question 2: The degree is 3 and the terms are 2, Binomial
Question 3: The degree is 2 and the terms are 3, Polynomial
Step-by-step explanation:
Answer: L ≈ 2.0 m
Step-by-step explanation:
Lsin40 = h
Lsin55 = h + 0.35
Lsin55 = Lsin40 + 0.35
Lsin55 - Lsin40 = 0.35
L(sin55 - sin40) = 0.35
L = 0.35 / (sin55 - sin40)
L = 1.98452 ≈ 2.0 m
Answer:
here is your answer.
Step-by-step explanation:
total frequency is 24