Suppose the grades for the course STOR 155 in 2017 followed the following probability distribution Grade Probability A = 4 B= 3 C =2 D=1 F=0 0.2 0.31 0.23 0.18 0.08 (a) What is the chance that a randomly chosen student from the course received a B or better? Answer to two decimal places. (b) Suppose you chose two students at random from the course. What is the chance that they both received a B or better? Answer to four decimal places. (c) Joseph and Emily took STOR 155 in 2017. They prepared for the exams together. Let A = {Joseph receives a C} and B = {Emily receives a C) be two events. Then, O A and B are disjoint and independent events. O A and B are independent but not disjoint events. O A and B are dependent but not disjoint events. O A and B are disjoint and dependent events.

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Suppose the grades for the course STOR 155 in 2017 followed the following probability distribution
Grade
A = 4
0.31
B = 3
C = 2
D = 1
F = 0
Probability
0.23
0.2
0.08
0.18
(a) What is the chance that a randomly chosen student from the course received a B or better? Answer to two decimal places.
(b) Suppose you chose two students at random from the course. What is the chance that they both received a B or better? Answer to four decimal places.
(c) Joseph and Emily took STOR 155 in 2017. They prepared for the exams together. Let A =
O A and B are disjoint and independent events.
{Joseph receives a C} and B =
{Emily receives a C} be two events. Then,
O A and B are independent but not disjoint events.
O A and B are dependent but not disjoint events.
O A and B are disjoint and dependent events.
(d) Let X be the grade of a randomly chosen student from the course. Calculate the expected value and standard deviation of X. Answer to two decimal places.
expected value
standard deviation
(e) Suppose you choose 100 students at random from the course and compute an average of their grades. Can you give an approximate value of this average? Answer to two decimal places.
(f) Suppose you choose 5 students at random from the course. What is the probability that at least one of them received an A? Answer to four decimal places.
Transcribed Image Text:Suppose the grades for the course STOR 155 in 2017 followed the following probability distribution Grade A = 4 0.31 B = 3 C = 2 D = 1 F = 0 Probability 0.23 0.2 0.08 0.18 (a) What is the chance that a randomly chosen student from the course received a B or better? Answer to two decimal places. (b) Suppose you chose two students at random from the course. What is the chance that they both received a B or better? Answer to four decimal places. (c) Joseph and Emily took STOR 155 in 2017. They prepared for the exams together. Let A = O A and B are disjoint and independent events. {Joseph receives a C} and B = {Emily receives a C} be two events. Then, O A and B are independent but not disjoint events. O A and B are dependent but not disjoint events. O A and B are disjoint and dependent events. (d) Let X be the grade of a randomly chosen student from the course. Calculate the expected value and standard deviation of X. Answer to two decimal places. expected value standard deviation (e) Suppose you choose 100 students at random from the course and compute an average of their grades. Can you give an approximate value of this average? Answer to two decimal places. (f) Suppose you choose 5 students at random from the course. What is the probability that at least one of them received an A? Answer to four decimal places.
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