#16 13. A family plans to have three children. Assume that the probability of have a boy or a girl is equally likely.Find a probability model for this chance process.Number of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3ProbabilityNumber of 3s 0 1 2 3Probabilityа.1/16 7/16 7/16 1/16b.1/8 3/8 3/8 1/8с.1/4 1/4 1/4 1/4d.1/8 2/8 2/8 1/814. While driving to work, Arceli passes through 3 stop lights. The probability distribution of the number oflights she stops at is shown below. What is the probability that Arceli has to stop at fewer than two lights forher ride to work?LP(L)0.10.30.20.4a. 0.60.4d. 0.315. A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance aс.b.0.2randomly chosen student will finish the semester with an A in the class and there is a 60% a randomly chosenstudent will get an A on a test during the semester. Is the probability that a randomly chosen student receivesan A in the class and an A on a test during the semester equal to 0.24?No, because the chance of getting an A on a test and getting an A in the class are notmutually exclusive.b. Yes, because the chance of getting an A on a test and getting an A in the class aremutually exclusive.No, because the chance of getting an A on a test and getting an A in the class are notindependent.d. Yes, because the chance of getting an A on a test and getting an A in the class areindependent.a.с.16. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. Ifsix lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work?c. 0.735d. 0.30а.0.70b. 0.26517. Ten singers have signed up for a signing competition. The order in which they will compete is selected byrandom draw. Five of the signers will compete before an intermission and five will compete after theintermission. How many different ways are there for the five singers to be selected to sing beforeintermission?40b. 100,000a.с.252d. 30,24018. Four fair coins are flipped and the number of heads that land face up are counted. The probabilitydistribution of the number of heads face up is shown below. What is the probability that more than one coinlands heads face up?T124P(T)0.06250.250.3750.250.06250.3750.3125d. 0.6875а.с.b.0.25

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Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If six lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work? a. 0.70 с. 0.735 b. 0.265 d. 0.30

Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If six lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work? a. 0.70 с. 0.735 b. 0.265 d. 0.30

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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Question

#16

13. A family plans to have three children. Assume that the probability of have a boy or a girl is equally likely.
Find a probability model for this chance process.
Number of 3s 0 1 2 3
Probability
Number of 3s 0 1 2 3
Probability
Number of 3s 0 1 2 3
Probability
Number of 3s 0 1 2 3
Probability
а.
1/16 7/16 7/16 1/16
b.
1/8 3/8 3/8 1/8
с.
1/4 1/4 1/4 1/4
d.
1/8 2/8 2/8 1/8
14. While driving to work, Arceli passes through 3 stop lights. The probability distribution of the number of
lights she stops at is shown below. What is the probability that Arceli has to stop at fewer than two lights for
her ride to work?
L
P(L)
0.1
0.3
0.2
0.4
a. 0.6
0.4
d. 0.3
15. A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance a
с.
b.
0.2
randomly chosen student will finish the semester with an A in the class and there is a 60% a randomly chosen
student will get an A on a test during the semester. Is the probability that a randomly chosen student receives
an A in the class and an A on a test during the semester equal to 0.24?
No, because the chance of getting an A on a test and getting an A in the class are not
mutually exclusive.
b. Yes, because the chance of getting an A on a test and getting an A in the class are
mutually exclusive.
No, because the chance of getting an A on a test and getting an A in the class are not
independent.
d. Yes, because the chance of getting an A on a test and getting an A in the class are
independent.
a.
с.
16. Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are defective. If
six lightbulbs are selected at random from all of the lightbulbs, what is the probability that all of them work?
c. 0.735
d. 0.30
а.
0.70
b. 0.265
17. Ten singers have signed up for a signing competition. The order in which they will compete is selected by
random draw. Five of the signers will compete before an intermission and five will compete after the
intermission. How many different ways are there for the five singers to be selected to sing before
intermission?
40
b. 100,000
a.
с.
252
d. 30,240
18. Four fair coins are flipped and the number of heads that land face up are counted. The probability
distribution of the number of heads face up is shown below. What is the probability that more than one coin
lands heads face up?
T
1
2
4
P(T)
0.0625
0.25
0.375
0.25
0.0625
0.375
0.3125
d. 0.6875
а.
с.
b.
0.25

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