The accompanying table shows the numbers of male

mom1821403

mom1821403

Answered question

2022-04-23

The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. Click the icon to view the table. Table (a) The student is male or received a degree in the field The probability is Degrees Outside of Field (Type an integer or a decimal. Round to three decimal places as needed.) Total Degrees in Field Males 190,012 618,286 808,298 172,727 892,037 1,064,764 Females Total 362,739 1,510,323 1,873,062

Answer & Explanation

nick1337

nick1337

Expert2023-04-29Added 777 answers

We are given a table showing the numbers of male and female students who received bachelor's degrees in a certain field in a recent year. We are asked to find the probability of each event listed in parts (a) through (c) below.
(a) The student is male or received a degree in the field.
To find this probability, we need to add up the numbers of males who received degrees in the field and the numbers of females who received degrees in the field, and divide by the total number of students:
P(male or degree in field)=Degrees in field, males+Degrees in field, femalesTotal degrees=618,286+1,510,3231,873,0620.987
Therefore, the probability that the student is male or received a degree in the field is approximately 0.987.
(b) The student is female and did not receive a degree in the field.
To find this probability, we need to divide the number of females who did not receive degrees in the field by the total number of students:
P(female and no degree in field)=Degrees outside of field, femalesTotal degrees=362,7391,873,0620.193
Therefore, the probability that the student is female and did not receive a degree in the field is approximately 0.193.
(c) The student is male and received a degree outside of the field.
To find this probability, we need to divide the number of males who received degrees outside of the field by the total number of students:
P(male and degree outside of field)=Degrees outside of field, malesTotal degrees=190,0121,873,0620.101
Therefore, the probability that the student is male and received a degree outside of the field is approximately 0.101.

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