Respuesta :

Answer: There are 89 left handed students in school.

Step-by-step explanation:

Since we have given that

Total number of girls = 320

Total number of boys = 250

Probability that a girl is left hand = 0.2

Probability that a boy is left handed = 0.1

We need to find the number of left handed students in school.

[tex]\dfrac{\text{Number of left handed students in school}}{\text{Total number of boys }}=0.1\\\\\dfrac{\text{Number of left handed students in school}}{250}=0.1\\\\\text{Number of left handed students in school}=0.1\times 250\\\\\text{Number of left handed students in school}=25[/tex]

Similarly,

[tex]\dfrac{\text{Number of left handed students in school}}{\text{Total number of girls }}=0.2\\\\\dfrac{\text{Number of left handed students in school}}{320}=0.2\\\\\text{Number of left handed students in school}=0.2\times 320\\\\\text{Number of left handed students in school}=64[/tex]

Hence, there are 25+64=89 left handed students in school.

Probability is defined as the division of the sum of all the observations by a total number of observations.

The total number of left-handed students in school is 89.

The answer is 89.

Given

A school has 320 girls and 250 boys.

The probability that a girl is a left hand is 0.2.

The probability that a boy is left-handed is 0.1.

What is probability?

Probability is defined as the division of the sum of all the observations by a total number of observations.

The following formula is used to calculate the probability is given by;

[tex]\rm Probability = \dfrac{Sum \ of \ all \ observation}{Total \ number \ of \ observation}[/tex]

The number of girls is 320 and the probability that a girl is a left hand is 0.2.

[tex]\rm Probability \ of \ girls= \dfrac{Number \ of \ left \ handed \ girls}{Total \ number \ of \ girls}\\\\\rm 0.2= \dfrac{Number \ of \ left \ handed \ girls}{320}\\\\Number \ of \ left \ handed \ girls=0.2 \times 320\\\\Number \ of \ left \ handed \ girls=64[/tex]

The number of boys is 250 and the probability that a girl is a left hand is 0.1.

[tex]\rm Probability \ of \ boys= \dfrac{Number \ of \ left \ handed \ boys}{Total \ number \ of \ boys}\\\\\rm 0.1= \dfrac{Number \ of \ left \ handed \ boys}{250}\\\\Number \ of \ left \ handed \ boys=0.1 \times 250\\\\Number \ of \ left \ handed \ girls=25[/tex]

Therefore,

The total number of left-handed students in school is = Number of left-handed girls + Number of left-handed boys.

The total number of left-handed students in school is = 64 + 25

The total number of left-handed students in school is = 89

Hence, the total number of left-handed students in school is 89.

To know about Probability click the link given below.

https://brainly.com/question/1118914