Emergency, Help With Stats Please

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To determine the probability that 4 out of 6 randomly selected trees exceed a median yield of 2.8 boxes, a binomial distribution can be used with n=6 and p assumed to be 0.5, as half of the yields are expected to be above the median. For the histogram of paving material batches, the number of bars and their width can be determined by dividing the range of data into intervals, with a common approach being to use the square root of the sample size (approximately 14 bars for 200 batches) for a balanced representation. The width of each bar can be calculated by dividing the range of the data (mean ± 3 standard deviations) by the number of bars. Clarification on the term "median" indicates it is the middle value in a data set when ordered. Understanding these statistical concepts is essential for accurately interpreting and presenting the data.
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I have a problem which I can't figure out how to do. Can you please explain how to do it.

1) Six 6 trees are randomly selected from an orange grove. Assume the median yield in the entire grove is 2.8 boxes per tree. What is the probability that the yields from 4 of the 6 trees will exceed 2.8 boxes?

Which type of distribution would i use to solve this question?
 
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Zythyr said:
Which type of distribution would i use to solve this question?

It doesn't matter what the distribution is (assuming the number of trees is large and there aren't a lot of trees tied at 2.8). Just assume that half are above and half below and use the binomial formula.
 
X ~ Bin (n,p)

n=6, but what does p equal to?
 
Zythyr said:
X ~ Bin (n,p)

n=6, but what does p equal to?

What's the chance something is above the median?
 
CRGreathouse said:
What's the chance something is above the median?

I am guessing 50%?

Also I have another quick question

1. Highway paving material is a mix of asphalt, sand, gypsum, and other ingredients.
Several Abatches@ of paving material are mixed each day. Asphalt content differs from batch to
batch, with a normal distribution that has mean μ=100 lb per ton and standard deviation σ=6 lb
per ton.

a. (15 pts) Sketch a histogram that might represent a sample of 200 batches.

How would I draw a historgram for this? I mean, how would I figure out how many bars I need and what should the width of it be. If he just told me to draw the curve, I would be able to draw it, but how do i draw the histogram. I know the histogram to have a shape of the normal curve, but how many bars and what's the width?

What does it mean by 200 batches?
 
Why are you guessing? What is the definition of "median"?
 
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