C.14P(X)0.320.280.28О.12D.24P(X)1/51/51/51/511. If the values of the random variable X are 0,1,2 and 3 where Xrepresents the number of heads in tossing a coin thrice, what is theprobability that three heads will come up?A. 1/2В. 3/8С. 1/4D. 1/812. What are the values of P(x) if P(x)=, for x-0,1, and 2?А. О, О.33, о.67В. о, 1,2C. 0, 0.45, 0.55D. 0.2, 0.3, 0.513. Which of the following values can serve as the probability distributionrandom variable X?of aA.P(X)= for x =1,2, 3.....93+X3-XC.P(X)= for x = 1,2,3......8B. P(X)-for x - 1, 2, 3, 4D.PX) = for x = 1,2,35x14. The number of absences from June to March of a student based onhis class adviser's record is shown below.MonthJuneJulyAugustSeptemberOctoberIf X be the random variable representing the number of absences. Whichtable represents the probability distribution?MonthNovemberDecemberNo. of AbsencesNo. of Absences21JanuaryFebruary431MarchA.X123P(X)2/102/103/103/10B.13P(X)1/103/103/103/10C.X1234P(X)1/101/103/103/101/5D.134P(X)1/53/103/101/101/1015. The probabilities that a customer buys 5,8,9,12 and 15 items in agrocery store are 0.06, 0.14, 0.32, 0.28, and 0.20 respectively. Whichprobability distribution represents the given problem?A.589.1215P(X)0.060.140.200.280.32В.891215P(X)0.320.280.20О.140.06C.81215P(X)0.060.200.140.320.28D.81215P(X)0.060.140.320.280.20 1. What is the sum of the probabilities of all values of the random variable?A. ΣΡ(Χ) )- οB. E P(X)) = 1/10c. E P(X)) - 1D. ΣΡ(Χ) -10Refer to the given problem in answering numbers 2-32. If two balls are drawn in succession without replacement from an urncontaining 5 red balls and 6 blue balls. If the value of the random variable Xrepresents the number of blue balls, what is the probabilityblue balls?of getting twoA. 1/8В. 1/4С. 1/3D. 1/23. Which probability distribution represents the given problem?A.11/42P()1/21/4B.11/22| P(X)1/41/4C.23/813P(X)1/83/81/8D.123P(X)3/81/83/81/84. What must be the value of the probability of each random variable?A. P(X) 20B. -is P(X) s 1C. Os P(X) s 1D. P(X) < 15. Which of the following values is not the value of the probability of therandom variable?А. 1.01B. 0.5С. О. 15D. 0.056. Which of the following values can serve as the values of a probabilitydistribution?А. Р(1) - 0.42, Р2) - 0.31, P(3)- 0.37B. P(1) - 9/14, P2) - 4/14, P(3)- 1/14C. P(1) - 0.0o8, P2) - 0.12, P(3)- 1.03D. P(1) - 10/33, Р2)- 12/33, P(3)- 10/37. If P(X)-, what are the possible values of X for it to be considered asaprobability distribution?A.0,2,3В. 1,1,2C. 2,3,4D. 1,2,38. Which formula gives the probability distribution as shown by thetable?X2P(X)1/261/31/6A. P(X)B. P(X)C. P(X)-D. P(X)9. The following table shows the probability distribution of a discreterandom variable X. Find the value of n.246P(X)A. 0.15В. О.25C. 0.45D. 0.60.400.15|n10. Which of the following table represents probability distribution?A.123P(X)О.110.150.420.44В.X15P(X)1/31/21/31/3

Hello. Since your question has multiple parts, we will solve first question for you. If you want…

P(X) 1/5 1/5 1/5 1/5 11. If the values of the random variable X are 0,1,2 and 3 wh represents the number of heads in tossing a coin thrice, wha probability that three heads will come up? A. 1/2 в. 3/8 с. 1/4 D. 1/8 12. What are the values of P(x) if P(x)-, for x-0,1, and 2? A. O. 0.33, 0.67

P(X) 1/5 1/5 1/5 1/5 11. If the values of the random variable X are 0,1,2 and 3 wh represents the number of heads in tossing a coin thrice, wha probability that three heads will come up? A. 1/2 в. 3/8 с. 1/4 D. 1/8 12. What are the values of P(x) if P(x)-, for x-0,1, and 2? A. O. 0.33, 0.67

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

C.
1
4
P(X)
0.32
0.28
0.28
О.12
D.
2
4
P(X)
1/5
1/5
1/5
1/5
11. If the values of the random variable X are 0,1,2 and 3 where X
represents the number of heads in tossing a coin thrice, what is the
probability that three heads will come up?
A. 1/2
В. 3/8
С. 1/4
D. 1/8
12. What are the values of P(x) if P(x)=, for x-0,1, and 2?
А. О, О.33, о.67
В. о, 1,2
C. 0, 0.45, 0.55
D. 0.2, 0.3, 0.5
13. Which of the following values can serve as the probability distribution
random variable X?
of a
A.P(X)= for x =1,2, 3.....9
3+X
3-X
C.P(X)= for x = 1,2,3......8
B. P(X)-
for x - 1, 2, 3, 4
D.PX) = for x = 1,2,3
5x
14. The number of absences from June to March of a student based on
his class adviser's record is shown below.
Month
June
July
August
September
October
If X be the random variable representing the number of absences. Which
table represents the probability distribution?
Month
November
December
No. of Absences
No. of Absences
2
1
January
February
4
3
1
March
A.
X
1
2
3
P(X)
2/10
2/10
3/10
3/10
B.
1
3
P(X)
1/10
3/10
3/10
3/10
C.
X
1
2
3
4
P(X)
1/10
1/10
3/10
3/10
1/5
D.
1
3
4
P(X)
1/5
3/10
3/10
1/10
1/10
15. The probabilities that a customer buys 5,8,9,12 and 15 items in a
grocery store are 0.06, 0.14, 0.32, 0.28, and 0.20 respectively. Which
probability distribution represents the given problem?
A.
5
8
9.
12
15
P(X)
0.06
0.14
0.20
0.28
0.32
В.
8
9
12
15
P(X)
0.32
0.28
0.20
О.14
0.06
C.
8
12
15
P(X)
0.06
0.20
0.14
0.32
0.28
D.
8
12
15
P(X)
0.06
0.14
0.32
0.28
0.20

1. What is the sum of the probabilities of all values of the random variable?
A. ΣΡ(Χ) )- ο
B. E P(X)) = 1/10
c. E P(X)) - 1
D. ΣΡ(Χ) -10
Refer to the given problem in answering numbers 2-3
2. If two balls are drawn in succession without replacement from an urn
containing 5 red balls and 6 blue balls. If the value of the random variable X
represents the number of blue balls, what is the probability
blue balls?
of getting two
A. 1/8
В. 1/4
С. 1/3
D. 1/2
3. Which probability distribution represents the given problem?
A.
1
1/4
2
P()
1/2
1/4
B.
1
1/2
2
| P(X)
1/4
1/4
C.
2
3/8
1
3
P(X)
1/8
3/8
1/8
D.
1
2
3
P(X)
3/8
1/8
3/8
1/8
4. What must be the value of the probability of each random variable?
A. P(X) 20
B. -is P(X) s 1
C. Os P(X) s 1
D. P(X) < 1
5. Which of the following values is not the value of the probability of the
random variable?
А. 1.01
B. 0.5
С. О. 15
D. 0.05
6. Which of the following values can serve as the values of a probability
distribution?
А. Р(1) - 0.42, Р2) - 0.31, P(3)- 0.37
B. P(1) - 9/14, P2) - 4/14, P(3)- 1/14
C. P(1) - 0.0o8, P2) - 0.12, P(3)- 1.03
D. P(1) - 10/33, Р2)- 12/33, P(3)- 10/3
7. If P(X)-, what are the possible values of X for it to be considered as
a
probability distribution?
A.0,2,3
В. 1,1,2
C. 2,3,4
D. 1,2,3
8. Which formula gives the probability distribution as shown by the
table?
X
2
P(X)
1/2
6
1/3
1/6
A. P(X)
B. P(X)
C. P(X)-
D. P(X)
9. The following table shows the probability distribution of a discrete
random variable X. Find the value of n.
2
4
6
P(X)
A. 0.15
В. О.25
C. 0.45
D. 0.6
0.40
0.15
|n
10. Which of the following table represents probability distribution?
A.
1
2
3
P(X)
О.11
0.15
0.42
0.44
В.
X
1
5
P(X)
1/3
1/2
1/3
1/3

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