For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, with n=36 and p as 0.23, we can approximate p hat by a normal distribution.
Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77
therefore,
n*p= 36*0.23 =8.28>5
n*q = 36*0.77=27.22>5
and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.
The question is incomplete, a possible complete question is:
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)
n*p = ?
n*q = ?
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Coordinates: (3, -3)
this point R would be the same distance that point P is from point Q, fulfilling the statement of it being an isosceles triangle
Answer:
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
The seagull is at 125 1/2 feet above the sea level.
The fish is at 45 1/2 feet below the sea level.
The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level
= 125 1/2 + 45 1/2
=
+ 
= 
= 171
The distance between the seagull and fish is 171 feet.
Since the seagull stops halfway, then;
seagull's position = 
= 85.5
The seagull's position halfway is 85.5 feet.
Answer: length = 62 yards and width = 3 yards
Step-by-step explanation: