40​% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. P(x)
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Required:
Consturct a histogram and describe its shape.

See attachment and explanation below

It's is a bell shaped histogram

Step-by-step explanation:

This is a binomial distribution problem.

A binomial distribution is a distribution whose experiment has two possible outcomes, a success and failure. The outcomes of the experiment do not depend on each other.

For n trials in a binomial distribution, the probability of getting success:

P(X=x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Where p = success

q = failure

n = 8, p= 40% = 0.4

q = 1-0.4 = 0.6

See attachment for workings and histogram diagram.

From the diagram, the shape of the histogram is bell shaped. It is also known as a normal distribution.

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

The answer is 10. and if you go by pemdas you would 1. multiplication 2. division 3. addition 4. subtraction