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STATISTICS AND PROBABILITY
UPPER LEVEL PROBABILITY
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Upper level probability
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Upper level probability Answers
Upper level probability
asked 2021-03-08
\(8!/(5!*3!)\)
Upper level probability
asked 2021-03-07
Random variables are represented by ___-case letters, while particular values of random variables are represented by ___-case letters.
Upper level probability
asked 2021-03-07
The area between z=0and z= 1.1 under the standard nomad curve is ?
Upper level probability
asked 2021-02-01
Find the probability density function of
\(Y=e^{X}\)
, when X is normally distributed with parameters
\(\mu \text{and} \sigma^{2}\)
. The random variable Y is said to have a lognormal distribution (since log Y has a normal distribution) with parameters
\(\mu \text{and} \sigma^{2}\)
Upper level probability
asked 2021-01-27
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?
Upper level probability
asked 2021-01-06
Select the best answer. Which of the following random variables is geometric?
(a) The number of times I have to roll a die to get two 6s.
(b) The number of cards I deal from a well-shuffled deck of 52 cards until I get a heart.
(c) The number of digits I read in a randomly selected row of the random digits table until I find a 7.
(d) The number of 7s in a row of 40 random digits.
(e) The number of 6s I get if I roll a die 10 times.
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asked 2020-12-27
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four of these units, and because all are packaged identically, the selection will be random. What is the probability that:
a) All four units are good?
b) Exactly two units are good?
c) At least two units are good?
Upper level probability
asked 2020-11-22
There are 11 players in team A. It is known that four of them (call them high scoring) score a penalty with probability 0.8 each and the other seven (low-scoring) with probability 0.5 each.
There is a penalty shoot-out with another team, team B (of 11 players), in which every player from each team takes exactly one shot, so that 22 shots are to be taken. Every player in team B scores with probability 0.64. The team that scores the most goals wins. Which team is expected to win? Justify your answer
Upper level probability
asked 2020-11-09
What is the probability of tossing at least 1 tail if you toss 3 coins at once?
Upper level probability
asked 2020-10-26
For any three events A,B, and D, such that P(D) >0, prove that
\(\displaystyle{P}{\left({A}\cup{B}{\mid}{D}\right)}={P}{\left({A}{\mid}{D}\right)}+{P}{\left({B}{\mid}{D}\right)}-{P}{\left({A}\cap{B}{\mid}{D}\right)}\)
.
Upper level probability
asked 2020-10-18
Suppose a product costs R10 and the profit rate is 20% on the cost price, find the selling price
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