Question
In: Statistics and Probability
2. (a) Joe tries to study at a study cafe each day of the week, except...
2. (a)
Joe tries to study at a study cafe each day of the week, except on the weekends (Saturdays & Sundays). Joe is able to study, on average, on 75% of the weekdays (Monday-Friday).
i. Find the expected value and the standard deviation of the number of days he studies in a given week.
ii. Given that Joe studies on Monday, find the probability that he will study at least 3 days in the rest of the week.
iii. Find the probability that in a period of four weeks, Joe studies 3 or less days in only two of the four weeks.
(b)
A bakery uses a particular ingredient at an average rate of 6 per week. Find the probability that:
i. at least 6 are used in a particular week.
ii. exactly 18 are used in a 3-week period.
iii. exactly 6 are used in each of 3 successive weeks.
(c)
The breaking strength (grams) of a certain ceramic is normally distributed, with a mean of 115 grams and a variance of 4 grams.
i. What is the probability that a single randomly selected piece
of ceramic will have breaking strength between 118 and 120
grams?
ii. A new piece of ceramic is considered defective if the breaking
strength is less than 113.6 grams. What is the probability that a
single randomly selected piece of ceramic will be defective?
iii. What is the probability that out of 200 pieces of randomly selected ceramic, more than fifty five of them are defective.
Solutions
orchestra answered 2 years agoRelated Solutions
(a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except on...
(a) Susan tries to exercise at ”Pure Fit” Gym each day
of the week, except on the weekends
(Saturdays and Sundays). Susan is able to exercise, on average, on
75% of the weekdays
(Monday to Friday).
i. Find the expected value and the standard deviation of the number
of days she
exercises in a given week. [2 marks]
ii. Given that Susan exercises on Monday, find the probability that
she will exercise at
least 3 days in the rest of...
. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except...
. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the
week, except on the weekends (Saturdays and Sundays). Susan is able
to exercise, on average, on 75% of the weekdays (Monday to Friday).
i. Find the expected value and the standard deviation of the number
of days she exercises in a given week. [2 marks] ii. Given that
Susan exercises on Monday, find the probability that she will
exercise at least 3 days in the rest...
(a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except on...
(a)
Susan tries to exercise at ”Pure Fit” Gym each day of the week,
except on the weekends (Saturdays and Sundays). Susan is able to
exercise, on average, on 75% of the weekdays (Monday to
Friday).
Find the expected value and the standard deviation of the number
of days she exercises in a given week. [2 marks]
Given that Susan exercises on Monday, find the probability that
she will exercise at least 3 days in the rest of the week....
4. (a) Susan tries to exercise at "Pure Fit" Gym each day of the week, except...
4. (a) Susan tries to exercise at "Pure Fit" Gym each day of the
week, except on the weekends.(Saturdays and Sundays). Susan is able
to exercise, on average, on 75% of the weekdays.(Monday to
Friday).
i. Find the expected value and the standard deviation of the
number of days she
exercises in a given week.
ii. Given that Susan exercises on Monday, _nd the probability
that she will exercise at
least 3 days in the rest of the week.
iii....
4 (a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except...
4 (a) Susan tries to exercise at ”Pure Fit” Gym each day of the
week, except on the weekends (Saturdays and Sundays). Susan is able
to exercise, on average, on 75% of the weekdays (Monday to
Friday).
Find the expected value and the standard deviation of the
number of days she exercises in a given week. [2
marks]
Given that Susan exercises on Monday, find the probability that
she will exercise at least 3 days in the rest of the...
4. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except...
4. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the
week, except on the weekends (Saturdays and Sundays). Susan is able
to exercise, on average, on 75% of the weekdays (Monday to
Friday).
Find the expected value and the standard deviation of the
number of days she exercises in a given week. [2
marks]
Given that Susan exercises on Monday, find the probability that
she will exercise at least 3 days in the rest of the...
4. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the week, except...
4. (a) Susan tries to exercise at ”Pure Fit” Gym each day of the
week, except on the weekends (Saturdays and Sundays). Susan is able
to exercise, on average, on 75% of the weekdays (Monday to
Friday).
i. Find the expected value and the standard deviation of the
number of days she exercises in a given week. [2 marks]
ii. Given that Susan exercises on Monday, find the probability
that she will exercise at least 3 days in the rest...
Q4. You observed a stock moves 2% stdev each day usually, except for days of earning...
Q4. You observed a stock moves 2% stdev each day usually, except
for days of earning announcement. In the latter case, it has a
stdev of 10%. Today is a Friday. You are interested in an option
that expires in FOUR weeks. Earning announcement will be on the
next Friday.
a. What should be annualized IV now?
b. On next Thurday at close, what should be IV?
c. On Friday at close, just after ER, what should be IV?
Q4. You observed a stock moves 2% stdev each day usually, except for days of earning...
Q4. You observed a stock moves 2% stdev each day usually, except
for days of earning announcement. In the latter case, it has a
stdev of 10%. Today is a Friday. You are interested in an option
that expires in FOUR weeks. Earning announcement will be on the
next Friday.
Q4a. What should be annualized IV now? (4 points)
Q4b. On next Thurday at close, what should be IV? (3 points)
Q4c. On Friday at close, just after ER, what...
Q4. You observed a stock moves 2% stdev each day usually, except for days of earning...
Q4. You observed a stock moves 2% stdev each day usually, except
for days of earning announcement. In the latter case, it has a
stdev of 10%. Today is a Friday. You are interested in an option
that expires in FOUR weeks. Earning announcement will be on the
next Friday.
a. What should be annualized IV now? (4 points)
b. On next Thursday at close, what should be IV? (3 points)
c. On Friday at close, just after ER, what...
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