A student applies to 20 graduate programs, 9 of which are in clinical psychology, 6 of which are in counseling psychology, and 5 of which are in social work. The student gets a message from home that they have a letter from one of the programs they applied to, but nothing is said about which one. Give the probabilities it is from (a) a clinical psychology program, (b) a counseling psychology program, (c) any program other than social work. (d) Explain your answers to someone who has never had a course in statistics. .....

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A student applies to 20 graduate programs, 9 of which are in clinical psychology, 6 of which are in counseling psychology, and 5 of which are in social work. The
student gets a message from home that they have a letter from one of the programs they applied to, but nothing is said about which one. Give the probabilities it is
from (a) a clinical psychology program, (b) a counseling psychology program, (c) any program other than social work. (d) Explain your answers to someone who has
never had a course in statistics.
(a) What is the probability that the letter is from a clinical psychology program?
(b) What is the probability that the letter is from a counseling psychology program?
(c) What is the probability that the letter is from any program other than social work?
(d) Explain your answers to someone who has never had a course in statistics.
O A. A probability is equivalent to the total number of scores that meet certain criteria.
O B. Aprobability is equivalent to the proportion of scores that meet certain criteria. The proportion is the fraction with the total number of outcomes over the
number of outcomes that meet these criteria. The probability is the decimal equivalent of this fraction.
O C. A probability is equivalent to the proportion of scores that meet certain criteria. The proportion is the fraction with the number of outcomes that meet the
criteria over the total number of outcomes. The probability is the decimal equivalent of this fraction.
Transcribed Image Text:A student applies to 20 graduate programs, 9 of which are in clinical psychology, 6 of which are in counseling psychology, and 5 of which are in social work. The student gets a message from home that they have a letter from one of the programs they applied to, but nothing is said about which one. Give the probabilities it is from (a) a clinical psychology program, (b) a counseling psychology program, (c) any program other than social work. (d) Explain your answers to someone who has never had a course in statistics. (a) What is the probability that the letter is from a clinical psychology program? (b) What is the probability that the letter is from a counseling psychology program? (c) What is the probability that the letter is from any program other than social work? (d) Explain your answers to someone who has never had a course in statistics. O A. A probability is equivalent to the total number of scores that meet certain criteria. O B. Aprobability is equivalent to the proportion of scores that meet certain criteria. The proportion is the fraction with the total number of outcomes over the number of outcomes that meet these criteria. The probability is the decimal equivalent of this fraction. O C. A probability is equivalent to the proportion of scores that meet certain criteria. The proportion is the fraction with the number of outcomes that meet the criteria over the total number of outcomes. The probability is the decimal equivalent of this fraction.
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