Benjamin Odei F2021STAT213
Assignment 3 is due on Monday, October 25, 2021 at 11:59pm.
The number of attempts available for each question is noted beside the question. If you are having trouble figuring out your error, you
should consult the textbook, or ask a fellow student, one of the TA’s or your professor for help.
There are also other resources at your disposal, such as the Mathematics Continuous Tutorials. Don’t spend a lot of time guessing – it’s
not very efficient or effective.
Make sure to give lots of significant digits for (floating point) numerical answers. For most problems when entering numerical answers,
you can if you wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin(3 ∗ pi/2)instead of -1, e ∧ (ln(2)) instead of 2, (2 +
tan(3)) ∗ (4 − sin(5)) ∧ 6 − 7/8 instead of 27620.3413, etc.
Problem 1. (1 point) Problem 2. (1 point)
Suppose a couple planned to have three children. Let X be the Two fair dice are rolled 5 times. Let the random variable X repre-
number of girls the couple has. sent the number of times that the sum 7 occurs. The table below
describes the probability distribution. Find the value of the miss-
(a) List all possible arrangements of girls and boys. For ing probability.
example, if the couple had 2 girls and then a boy, then
type GGB. (Separate each item in your list with a comma.): x P(x)
. 0 0.401877572016461
1 0.401877572016461
(b) List the sample space for X. (i.e. List the possible values that 2
X may take separated by commas.): . 3 0.0321502057613169
4 0.00321502057613169
(c) What is the probability that X = 2? 5 0.000128600823045267
Would it be unusual to roll a pair of dice 5 times and get no 7s?
(d) Find the probability that the couple have three boys: . (enter YES or NO)
Answer(s) submitted: Answer(s) submitted:
• •
• •
• (incorrect)
•
(incorrect)
1
Assignment 3 is due on Monday, October 25, 2021 at 11:59pm.
The number of attempts available for each question is noted beside the question. If you are having trouble figuring out your error, you
should consult the textbook, or ask a fellow student, one of the TA’s or your professor for help.
There are also other resources at your disposal, such as the Mathematics Continuous Tutorials. Don’t spend a lot of time guessing – it’s
not very efficient or effective.
Make sure to give lots of significant digits for (floating point) numerical answers. For most problems when entering numerical answers,
you can if you wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin(3 ∗ pi/2)instead of -1, e ∧ (ln(2)) instead of 2, (2 +
tan(3)) ∗ (4 − sin(5)) ∧ 6 − 7/8 instead of 27620.3413, etc.
Problem 1. (1 point) Problem 2. (1 point)
Suppose a couple planned to have three children. Let X be the Two fair dice are rolled 5 times. Let the random variable X repre-
number of girls the couple has. sent the number of times that the sum 7 occurs. The table below
describes the probability distribution. Find the value of the miss-
(a) List all possible arrangements of girls and boys. For ing probability.
example, if the couple had 2 girls and then a boy, then
type GGB. (Separate each item in your list with a comma.): x P(x)
. 0 0.401877572016461
1 0.401877572016461
(b) List the sample space for X. (i.e. List the possible values that 2
X may take separated by commas.): . 3 0.0321502057613169
4 0.00321502057613169
(c) What is the probability that X = 2? 5 0.000128600823045267
Would it be unusual to roll a pair of dice 5 times and get no 7s?
(d) Find the probability that the couple have three boys: . (enter YES or NO)
Answer(s) submitted: Answer(s) submitted:
• •
• •
• (incorrect)
•
(incorrect)
1
