Do I have to do all of them?
Answer with explanation:
Given : The heights of a certain population of corn plants follow a normal distribution with mean
and standard deviation 
a) Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence, 34.73% of the plants are between 135 and 155 cm tall.
b) Sample size : n= 16
Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%
For 3, it is an isosceles triangle and it is an acute triangle.
Answer:
(a)Dependent
(b)Both
(c)Independent
Step-by-step explanation:
a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.
(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.
(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.
1/3 is the reduced version of 2/6, so they are the same.