Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
Answer:
Option 1) p ←→ q
Step-by-step explanation:
The given statement is a combination of two phrases with a connective word.
Phrase 1 - The Fratellis will be arrested.
We consider this phrase as phrase p.
Phrase 2 - If the police believe chunk.
Phrase q.
Now these statements p and q are connected with a connecting word "If only and only".
When two phrases are connected by the connecting words "Only and only if", this connecting word is called as biconditional operator.
p (connecting word) q
p ( If and only if) q
p ←→ q
Therefore, Option 1) p ←→ q is the answer.
Answer:
5 a^3 c
Step-by-step explanation:
5 • a • a • c • a
There are 3 a's so it becomes a^3
5 a^3 c
F(x) = 29x +38. F(x) is a fancy way of saying y= and you must know the basic formula y=mx+b
