Answer:

Explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p

Convert to decimal

Let the proportion of students that do not find job be represented with q
Such that;

Make q the subject of formula



In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;

Solving for the probability of none getting a job using binomial expansion

Where
and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes

Substitute 7 for n




Substitute
and



Recall that

Substitute


Make P(At least 1) the subject of formula


(Approximated)