In a county containing a large number of rural homes, 60% of the homes are insured against fire. Four rural homeowners are chosen at random from this county, and x are found to be insured against fire. Find the probability distribution for x.

Step-by-step explanation:

Given

Required

The distribution of x

The above is an illustration of binomial theorem where:

This gives:

Express percentage as decimal

When x = 0, we have:

When x = 1

When x = 2

When x = 3

When x = 4

So, the probability distribution is:

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step-by-step explanation:

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