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Recent questions and answers in Maths & Statistics
0
votes
0
answers
35
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Let f : N → Y be a function defined as f(x) = 4x + 3, where, Y = {y ∈ N: y = 4x + 3 for some x ∈ N}. Show that f is invertible. Find the inverse.
asked
Sep 29
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
30
views
Three babies are given a weekly health check at a clinic, and then returned randomly to their mothers. What is the probability that at least one baby goes to the right mother?
answered
Sep 20
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
60
views
Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A ∩ B) = 0.1. Calculate
answered
Sep 20
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
59
views
You play draughts against an opponent who is your equal. Which of the following is more likely: (a) winning three games out of four or winning five out of eight; (b) winning at least three out of four or at least five out of eight?
answered
Sep 20
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
30
views
A bag contains fifteen balls distinguishable only by their colours; ten are blue and five are red. I reach into the bag with both hands and pull out two balls (one with each hand) and record their colours.
answered
Sep 20
in
Maths & Statistics
by
anonymous
+2
votes
1
answer
58
views
A fair coin is tossed, and a fair die is thrown. Write down sample spaces for (a) the toss of the coin; (b) the throw of the die; (c) the combination of these experiments.
answered
Sep 20
in
Maths & Statistics
by
anonymous
+2
votes
1
answer
34
views
Describe the sample space and all 16 events for a trial in which two coins are thrown and each shows either a head or a tail.
answered
Sep 20
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
39
views
Let {Xn} and {Yn} be sequences of random variables such that Xn diverges to ∞ in probability and Yn is bounded in probability. Show that Xn + Yn diverges to ∞ in probability.
answered
Sep 20
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
57
views
Let X be a random variable with EX2 < ∞ and let Y = |X|.
answered
Sep 20
in
Maths & Statistics
by
anonymous
+2
votes
1
answer
56
views
An urn contains nine balls, two of which are red, three blue and four black. Three balls are drawn from the urn at random. What is the probability that
answered
Sep 2
in
Maths & Statistics
by
(user.guest)
+1
vote
1
answer
278
views
In a large consignment of electric bulb 10% are defective.A random sample of 20 is taken for inspection.Find the probability that a)all are good bulbs b) there are almost 3 defective bulbs c)there are exactly 3 defective bulbs.
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
59
views
Find the probability of selecting either a heart or a face card from a 52 card deck.
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
97
views
An urn contains 6 red marbles and 4 black marbles.are drawn without replacement from the urn. What is the probability that both of the marbles are black? Two marbles
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
213
views
A coin is tossed three times. What is the probability that it lands on heads exactly one time?
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
58
views
Suppose a coin is flipped 3 times. What is the probability of getting two tails and one head?
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
77
views
Suppose we draw a card from a deck of playing cards. What is the probability that we draw a spade?
answered
Aug 31
in
Maths & Statistics
by
anonymous
+1
vote
0
answers
90
views
Cans of beef stew have a mean content of 300 g each with a standard deviation of 6 g. There are 24 cans in a case. The mean content of a case is therefore (24)(300) = 7200 g. What is the standard deviation of the contents of a case?
asked
Aug 30
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
42
views
A probability function is given by p(0) = 0.3164, p(1) = 0.4219, p(2) = 0.2109, p(3) = 0.0469, and p(4) = 0.0039. Find its mean and variance.
answered
Aug 30
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
70
views
In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many different bytes are possible?
answered
Aug 30
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
23
views
Suppose X is N(µ, σ2 ). For a = 1, 2, 3 find P(|X − µ| < aσ).
answered
Aug 30
in
Maths & Statistics
by
anonymous
+2
votes
1
answer
45
views
Suppose X is N(−1, 4). Find (a) P(X < 0); (b) P(X > 1); (c) P(−2 < X < 3); (d) P(|X + 1| < 1)?
answered
Aug 30
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
39
views
Suppose X is N(10, 1). Find (i) P[X > 10.5], (ii) P[9.5 < X < 11], (iii) x such that P[X < x] = 0.95. You will need to use Standard Normal tables?
answered
Aug 30
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
59
views
Given that 0.04% of vehicles break down when driving through a certain tunnel find the probability of (a) no (b) at least two breakdowns in an hour when 2,000 vehicles enter the tunnel?
answered
Aug 30
in
Maths & Statistics
by
anonymous
+2
votes
2
answers
171
views
What is data cleaning and data tranformation
answered
Aug 28
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
52
views
Find the probability of selecting either a heart or a face card from a 52 card deck?
answered
Aug 27
in
Maths & Statistics
by
anonymous
+2
votes
1
answer
89
views
Suppose a coin is flipped 3 times. What is the probability of getting two tails and one head?
answered
Aug 27
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
52
views
Suppose we draw a card from a deck of playing cards. What is the probability that we draw a spade?
answered
Aug 27
in
Maths & Statistics
by
anonymous
0
votes
0
answers
23
views
Explain binomial theorem . Write down the binomial theorem for positive integral index and rational index ?
asked
Aug 27
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
62
views
Suppose X is N(−1, 4). Find (a) P(X < 0); (b) P(X > 1); (c) P(−2 < X < 3); (d) P(|X + 1| < 1).
answered
Aug 27
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
41
views
Suppose X is N(µ, σ2 ). For a = 1, 2, 3 find P(|X − µ| < aσ).
answered
Aug 27
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
67
views
Three babies are given a weekly health check at a clinic, and then returned randomly to their mothers. What is the probability that at least one baby goes to the right mother?
answered
Aug 27
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
137
views
During data presentation there are three key issues to consider. Explain the relevance of each of these three issues stating an application for each in the engineering field.
answered
Aug 25
in
Maths & Statistics
by
(user.guest)
+1
vote
1
answer
112
views
Expain hopital data management Generation and sources
answered
Aug 25
in
Maths & Statistics
by
(user.guest)
+1
vote
1
answer
205
views
A fair coin is flipped three times. Let S be the sample space of the eight possible outcomes, and let X be the random variable that assigns to an outcome the number of heads in this outcome. What is the expected value of X?
answered
Aug 23
in
Maths & Statistics
by
(user.guest)
+1
vote
1
answer
230
views
Suppose a book-shelf has 6 mathematics texts, 3 physics texts, 4 chemistry texts, and 5 computer science texts. Find the number n of ways a student can choose: a) one of the texts. b) one of each type of text.
answered
Feb 27
in
Maths & Statistics
by
anonymous
0
votes
0
answers
158
views
Suppose you wish to prove that the following is true for all positive integers nby using the Principle of Mathematical Induction: 1 + 3 + 5 + ... + (2n -1) =n2(a) Write P(1)
asked
Dec 22, 2020
in
Maths & Statistics
by
anonymous
0
votes
0
answers
70
views
Find the Eulerian number, (n k ) where n = 6 &k =2. List down the rows of permutation
asked
Nov 29, 2020
in
Maths & Statistics
by
(user.guest)
0
votes
1
answer
360
views
Sketch and label the even and odd components of the signals shown in Fig. 1-24. Using Eqs. (1.5) and (1.6), the even and odd components of the signals shown in Fig. 1-24 are sketched in Fig. 1-25.
answered
Oct 28, 2020
in
Maths & Statistics
by
(user.guest)
0
votes
0
answers
87
views
A constant volume batch reactor undergoes the series reaction
asked
Oct 8, 2020
in
Maths & Statistics
by
(user.guest)
0
votes
0
answers
88
views
For laminar flow in a tube with a constant wall heat flux, it can be shown that the microscopic energy equation can be reduced to the following form where qy is the heat flux in the y direction
asked
Oct 8, 2020
in
Maths & Statistics
by
(user.guest)
+1
vote
1
answer
498
views
The porous catalyst pellet shown in Figure 1 has an overall radius R and a thermal conductivity k (which may be assumed constant).
answered
Oct 8, 2020
in
Maths & Statistics
by
(user.guest)
0
votes
0
answers
69
views
A soluble gaseous reactant (specie A) dissolves into a deep liquid film where it undergoes the following second-order, irreversible reaction
asked
Oct 8, 2020
in
Maths & Statistics
by
(user.guest)
+2
votes
1
answer
2.2k
views
The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country.
answered
Sep 18, 2020
in
Maths & Statistics
by
(user.guest)
+2
votes
1
answer
305
views
Estimate Pearson’s First Coefficient of skewness for the given the data: 84 38 76 70 84 59 82 76 74 52 76 85 76 91 62 54 72 76.
answered
Aug 30, 2020
in
Maths & Statistics
by
(user.guest)
0
votes
0
answers
86
views
Discuss two major differences between Experimental Design Analysis and Classical Methods of analysis.
asked
Aug 28, 2020
in
Maths & Statistics
by
anonymous
+1
vote
0
answers
100
views
Use the trial control limits from part (a) to identify out of control points. If necessary, revise your control limits, assuming that any samples that plot outside the control limits can be eliminated
asked
Aug 28, 2020
in
Maths & Statistics
by
anonymous
+1
vote
1
answer
300
views
Based on your model estimate the probability that 3 people will infected in the next two days.
answered
Aug 26, 2020
in
Maths & Statistics
by
anonymous
+3
votes
1
answer
235
views
A process X is a normally distributed population with mean = 14 and variance 16. Determine the probability that 14 objects selected will have mean is greater than 15.2.
answered
Aug 26, 2020
in
Maths & Statistics
by
(user.guest)
+2
votes
1
answer
119
views
How do we apply Statistics in our present situation – CoVid 19 Pandemic?
answered
May 23, 2020
in
Maths & Statistics
by
(user.guest)
+2
votes
1
answer
358
views
What is the difference between a Markov Chain and a Markov Process; Use cases and Applications
answered
Feb 15, 2020
in
Maths & Statistics
by
(user.guest)
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