Question

I need to use factorials and doing it step-by-step for the bio normal probability formula Please help me figure this A through C step-by-step they want the factorial symbol! When showing my workP(4 sucessses) n=15 P=0.04P(2 successors) n=12. P=0.2P( at most 3 sucesssors) n= 20 p=0.5Please help this is all very confusing to me I need to use a factorial symbol in the steps when using the bio or Al distribution formula

Answer 1

Given:

P(4 sucessses) n=15 P=0.04

P(2 successors) n=12. P=0.2

P( at most 3 sucesssors) n= 20 p=0.5

Required:

To calculate above equation

Step-by-step explanation:

a)-P(4 sucessses) n=15 P=0.04

a=no of trials

p=probability of success

`\begin{gathered} P(4\text{ successes\rparen=P\lparen x=4\rparen} \\ \\ USING: \\ \\ ^nc_x* p\text{ x }*(1-p)(n-x) \\ \\ ^(15)c_4*0.4\text{ 4}*(1-0.4)/(15-4) \\ \\ =0.126775 \end{gathered}`

b)-

n=12,p=0.2, find P(2 failures),

P(2 failures)=P(12-2)=p(10 success)

using the same formula after calculation we get

=0.000004325376

c)-n=20, p=0.05 , find P(at least 3 successes)

P(x>3)=p(3)+p(4)+p(5)........p(20)

To avoid the complicated calculations we can use the online bionomial probability distribution calculator we get 0.05748

Required answer:

a)- 0.126775

b)-=0.000004325376

c)-0.05748