(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).
The answer is 16
4+4+4+4=16
Answer:
x^b=x^3
Step-by-step explanation:
(ax^2)(-6x^b)=12x^5
(a)(6)=6a or a6
(x^2)(x^b)=x^5
x^3 because
(a^b)(a^c)=a^b+c
Hope this helped.
Answer:
B.10
Step-by-step explanation:
15=1/2b(3)
30=3b
10= base
98 divided by 2 equals 49
55 divided by 5 equals 11
