Question
1.Outside ahome, there is a 10 -key keypad with letters A,B,C,D,E,F,G,H,I,andJ that can be used to open the garage if the correct ten ten -letter
1.Outside ahome, there is a 10-key keypad with letters A,B,C,D,E,F,G,H,I,andJ that can be used to open the garage if the correct ten
ten-letter code is entered. Each key may be used only once. How many codes arepossible?
The number of possible codes is____
2.The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester.
(a) Find the probability that a randomly selected student ismale, given that the student is a nursing major.
(b) Find the probability that a randomly selected student is a nursingmajor, given that the student is male.
Nursing Majors
Non-nursing majors
Total
Males
91
91
1148
1148
1239
1239
Females
716
716
1662
1662
2378
2378
Total
807
807
2810
2810
3617
3617
(a) Find the probability that a randomly selected student ismale, given that the student is a nursing major.
The probability is ____.
(Round to three decimal places asneeded.)
(b) Find the probability that a randomly selected student is a nursingmajor, given that the student is male.
The probability is
nothing
.
(Round to three decimal places asneeded.)
3.Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts(a) through(e).
x
0
1
2
3
4
5
6
7
8
P(x)
0.02
0.02
0.01
0.01
0.06
0.06
0.06
0.06
0.09
0.09
0.25
0.25
0.28
0.28
0.16
0.16
0.07
0.07
(a) Use the probability distribution to find the mean of the probability distribution.
mu
equals
=
nothing
(Round to the nearest tenth asneeded.)
(b) Use the probability distribution to find the variance of the probability distribution.
sigma squared
2equals
=
(Round to the nearest tenth asneeded.)
(c) Use the probability distribution to find the standard deviation of the probability distribution.____
(Round to the nearest tenth asneeded.)
(d) Use the probability distribution to find the expected value of the probability distribution. ____
(Round to the nearest tenth asneeded.)
(e) Interpret the results.
A.The expected number of questions answered correctly is 5.3 with a standard deviation of 0.02 questions.
B.The expected number of questions answered correctly is 3 with a standard deviation of 1.7 questions.
C.The expected number of questions answered correctly is 5.3 with a standard deviation of 1.7 questions.
D.The expected number of questions answered correctly is 1.7 with a standard deviation of 5.3
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College Algebra Graphs and Models
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
5th edition
321845404, 978-0321791009, 321791002, 978-0321783950, 321783956, 978-0321845405
