Answer:
The probability is
![P(3) =0.255](https://img.qammunity.org/2021/formulas/mathematics/college/a56ailbn9iazggrmtezv6ueb3v3btb063c.png)
Explanation:
From the question we are told that
The sample size is n = 200
The number that were never vaccinated is k = 17
The number that were vaccinated once is m = 30
The number that were vaccinated twice is p = 58
The number that were vaccinated three times is q = 51
The number that were vaccinated four times r = 38
The number that were vaccinated five times s = 7
Generally the probability that a randomly chosen person out of this 200 is vaccinated 3 times is mathematically represented as
![P(3) = (q)/(n)](https://img.qammunity.org/2021/formulas/mathematics/college/8snxvkdcwhaox77f9m5bblauidgrasvpt3.png)
=>
![P(3) = (51)/(200)](https://img.qammunity.org/2021/formulas/mathematics/college/ey534qyaokzgikwd6x3scq9c9vbedv7s4o.png)
=>
![P(3) =0.255](https://img.qammunity.org/2021/formulas/mathematics/college/a56ailbn9iazggrmtezv6ueb3v3btb063c.png)