very easy statistics questions

very easy statistics questions, i will forward you the attachment with formula soon.

very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon.very easy statistics questions, i will forward you the attachment with formula soon. Combinations:
Exponential Probability Distribution
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Group Assignment II (Maximum: 2 students)
(Due: the same day of midterm II)
(1) A student rolls 10 times one dice. Find the following probabilities:
A.
The student gets an even number the first 5 times and odd number the last 5
times.
B. 5 times an even number and 5 times an odd number.
C. At least 5 times an even number.
D. An even number in the 2nd, 4th, 6th, 8th and the 10th rolling of the dice and an
odd number the 1st, 3rd, 5th, 7th and 9th rolling of the dice.
E. At least 5 times an odd number.
(2) A bingo game has 90 numbers (1 to 90). Consider a bingo card of 15 numbers. A
winner card is when the player fills up the 15 numbers of the card. If already 15
numbers have been extracted. (i) What is the probability of a bingo card has been
filled up? (ii) What is the probability of none of the numbers in the bingo card have
been called yet?
hypomet
(3) A radio needs 9 batteries; if one of the batteries is faulty, then the radio won’t
work. Suppose that batteries are selected from a box with 20 batteries and we know
that 5 of the batteries from the box are faulty. What is the probability that this radio
works?
nomo
(4) Now from the previous problem (3). Consider that 9 batteries are taken at the
same time from a different box where 25% of the batteries are faulty. What is the
probability that this radio works?
(5) We are writing down a multiple choice exam and each question has 3 answers and
just one answer is correct. A student answers the questions by rolling a dice. If he
gets from the dice 1 or 2, the student will choose the first answer. For 3 or 4 from the
dice, the student will choose the second answer and for 5 or 6, will select the 3rd
answer. The student will pass the exam if he answers correctly at least half of the
questions of the exam. Total number of questions in the exam is 8. What is the
probability the student can pass the exam?
(6) A glass manufacturer checks the minor defects of each item produced within the
facility and the company rejects for selling those glass items with 2 or more minor
defects. We know that the number of average minor defect per item is 4. What is the
probability that each checked glass item is going to be rejected? ?
(7) The time a passenger needs to get to the local airport is a uniform random
variable distributed between 40 and 60 minutes. If the passenger needs to check in by
8pm and he leaves for the airport at 7.15pm. What is the probability he checks in on
time?
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ECON 2230 (Winter 18 Ortiz)
2.
ROUND
Rrind
0
EX
exponential
model
or poission
(8) The customer of a bank arrives at the downtown branch following a Poisson
distribution with average 2 minutes. A customer arrives at the branch and a teller will
take 1/2 minute to help the customer. After the teller is done with the customer, the
teller leaves the counter for 2 and half minutes to check some documents. What is
the probability that no customer waiting when the teller is back to his counter? We
assume the customer does not leave the bank.
(9) x is a normal random variable with mean 4 and variance 4. Compute:
A. P (x > 3)
B. P (x < 1) C. P(0 < x k) =0.1492 G. k for P(k < x < 3.5) = 0.1467 (10) x is a normal random variable with mean 20 and variance 25. Compute: A. P(20 < x < 26) B. P(16.6 < x < 20) C. P(17.7 < X < 31.05) D. P(24.05 < x < 29.7) E. P(x < 17) F. P (x >13.6)
(11) A gas canister company fills up canisters using an automatic process. The amount
of gas in each canister is a normal variable with mean 40 m3 and 25m3 for the
variance. What is the probability of one canister containing more than 40 m3 given the
canister already has 30 m3?
(12) A person has a monthly income of $15000 and his monthly food and shelter
expenses are a normal variable with mean $ 9000 and standard deviation $ 3000. He
also has other monthly expenses and that is also an independent normal random
variable with mean = $4000 and standard deviation $1000. You can make
assumptions to help you answer the following two questions:
(i) What is the probability that in a given month this person is able to save less than $
500?
(ii) What is the probability his annual expenses in food and shelter are greater than $
100000?
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ECON 2230 (Winter 18 Ortiz)