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a 10​-key keypad with letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage if the correct ten

.Outside a​ home, there is

a 10​-key keypad with letters A, B, C, D, E, F, G, H,  I, and J 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 are​ possible?

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 is​ male, given that the student is a nursing major.

​(b) Find the probability that a randomly selected student is a nursing​ major, 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 is​ male, given that the student is a nursing major.

The probability is ____.

​(Round to three decimal places as​ needed.)

​(b) Find the probability that a randomly selected student is a nursing​ major, given that the student is male.

The probability is

nothing

.

​(Round to three decimal places as​ needed.)

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

μequals

=

nothing

​(Round to the nearest tenth as​ needed.)

​(b) Use the probability distribution to find the variance of the probability distribution.

sigma squared

σ2equals

=

​(Round to the nearest tenth as​ needed.)

​(c) Use the probability distribution to find the standard deviation of the probability distribution.____

​(Round to the nearest tenth as​ needed.)

​(d) Use the probability distribution to find the expected value of the probability distribution. ____

​(Round to the nearest tenth as​ needed.)

​(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

Step-by-step 

 
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