Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that exactly 4 students have taken chemistry? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction 0. 005 0. 008 0. 213 0. 227.

Respuesta :

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Probability that exactly 4 students have taken chemistry Thus the option C is the correct option.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Given information-

Mrs. Gomes found that 40% of students at her high school take chemistry.

Mrs. Gomes randomly surveys 12 students.

Total number of students who have taken chemistry in surveys is 4.

As the 40 percent of students at her high school take which is equal to the 0.4. Thus the percent of students who is not at her high school,  is equal to the,

[tex]=1-0.4\\=0.6[/tex]

As the total number of surveyed students is 12 and the number of chemistry student is 4 in the surveyed students. Thus the probability of this event can be given as,

[tex]=P(1)+P(2)+P(3)+P(4)\\=\sum_{0}^{4}C_r(0.4)^r(0.6)^{12-r}[/tex]

Put the values in the above equation we get the probability equals to the 0.213.

Hence, probability that exactly 4 students have taken chemistry Thus the option C is the correct option.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

C. 0.213

Step-by-step explanation:

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