A sphere has a radius of 4. what is the volume of the sphere? show your answer in terms of pi. I've been stuck on this for 4 day
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=8
Answer:
The probability that at least two-third of vehicles in the sample turn is 0.4207.
Step-by-step explanation:
Let <em>X</em> = number of vehicles that turn left or right.
The proportion of the vehicles that turn is, <em>p</em> = 2/3.
The nest <em>n</em> = 50 vehicles entering this intersection from the east, is observed.
Any vehicle taking a turn is independent of others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 2/3.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of <em>X</em> if the following conditions are satisfied:
- np ≥ 10
- n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least two-third of vehicles in the sample turn as follows:
Thus, the probability that at least two-third of vehicles in the sample turn is 0.4207.