if a student is selected at random find the probability the student is a male given that it's a senior. Round to the nearest whole percent.

if a student is selected at random find the probability the student is a male given that its a senior Round to the nearest whole percent class=

Respuesta :

Answer: 40%.

Step-by-step explanation:

From the table : Total Seniors = 2+3= 5

Number of male seniors = 2

If a student is selected at random find the probability the student is a male given that it's a senior:

P(Male | senior)[tex]=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}[/tex]

[tex]=\dfrac{2}{5}[/tex]

In percent, [tex]\dfrac{2}{5}\times100=40\%[/tex]

Hence, the probability the student is a male given that it's a senior.  =40%.

The probability of the student is a male senior is 7%.

Given, here from the 2- way table the total no. students will be 30.

We have to find out the probability of the student select at random, student is a  senior male .

We know that, the probability of an event E, will be

[tex]P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}[/tex]

Now,

[tex]P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\[/tex]

Representing it in percentage as,

[tex]P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%[/tex]

Hence the nearest whole percent will be 7%.

Thus probability of the student is a male senior is 7%.

For more details on probability follow the link:

https://brainly.com/question/795909