2. Shannon wants to build a regular pentagonal sun deck. She is going to
1 answer:
You might be interested in
Complete Question:
a) Is it plausible that X is normally distributed?
b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?
Answer:
a) It is plausible that X is normally distributed
b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269
Step-by-step explanation:
a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.
b) Probability that the sample mean courtship time is between 100 min and 125 min
From the probability distribution table:
the given figure is a rhombus, so it's area =
where, d1 and d2 are diagonals of the rhombus,
and since, the diagnonals of rhombus bisects each other, the values of their diagonals are
(2 × x) and (2 × 15) =》2x and 30 respectively,
so, by finding the area using the given diagonals and equating it with the real area, we get :
=》
=》
=》
=》
so,
value of x = 10 units