Answer:
.
Step-by-step explanation:
Probability that the car encounters a green light on the first day:
.
To meet the question's conditions, the car needs to encounter another green light on the second day. Given that the colors of the light on each day are "independent," the chance that there's a green light followed by another green light will be
.
- Condition is met on the first two days and green light on the third day:
. - Condition is met on the first three days and green light on the fourth day:
.
To meet the condition on the fifth day, there needs to be a yellow light. The probability that the condition is met on the first four days and on the fifth day will be
.
To meet the condition on the sixth day, all prior days should meet the conditions. Besides, there needs to be a red light on the sixth day. 
- Seventh day:

- Eighth day:
- Ninth day:
- Tenth day:
The question asks that the condition be met on all ten days. As a result, the probability of meeting the condition will be equal to the probability on the tenth day:
.
Answer:
z=-1.591
Step-by-step explanation:
Null Hypotheses,

So we use z-test for one population proportion (right-tailed test)
According to this informaton, we defined that

(critical value)
So our Rejection region is 

Not rejection.
Answer:
1)p/4,2,1,1.625 2)x+1,3/2,5,7.5
Step-by-step explanation:
1) p/4
1/2 divided by 4=2
4/4=1
6.5/4=1.625
2) x+1
1/2+1=3/2
4+1=5
6.5+1=7.5
Answer:
2.120805
Step-by-step explanation:
First off, a negative divided by a negative is positive, so you can rewrite the equation to 316/149. Then simplify to get your answer.