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# FINAL Exam Spring 2021 Mathematics Exam Help

INSTRUCTIONS TO CANDIDATES

Exam 3    Name................................

1- If one die is rolled one time, find the probabilities. One die {1,2,3,4,5,6}

A) of getting a 4

B) of getting a number greater than 4

C) of getting a 7

2- A box contains 6 red, 2 blue, 4 white marbles. If a marble is selected   at random, find these probabilities.

A) That it is red

B) That it is white

C) That is red or white

3- A manufacturing company has 3 factories X, Y, Z. The daily output of each is shown below.

Product     factory X      factory Y     factory Z

TV s               18                    32                15

Stereos          6                       20                13

If one item is selected at random find this probability.

a.       It was manufactured at factory X or is a stereo.

b.       It is a TV or was manufactured at factory Z

4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.

5- The following distribution represents the length of time a patient will spend in a hospital.

Days              Frequency

0-3                    6

4-7                    12

8-11                  15

If a patient is selected, find the probabilities

a.       The patient spends 0-3 days in the hospital

b.       The patient spends less than 15 days in the hospital

6- Hospital records indicated that maternity patients stayed in the hospital for the number of days shown in the distribution

Number of the Days Stayed                                           Frequency

5                                                                                    20

6                                                                                  15

7                                                                                 13

8                                                                                 10

Find these probabilities

a.       A patient stayed exactly 5 days

b.       A patient stayed less than 6 days

c.       A patient stayed at most 7 days.

d.       A patient stayed at least 7 days

7- A roulette wheel has 34 spaces numbered 1 through 34. Find the probability of getting these results

a.       An odd number

b.       A number greater than 15

8- In a shipment of 40 TV, 3 and defective. If 2 TV are randomly selected and tested, find the probability that both are defective if the first one is not replaced after it has been tested.

9- A box contains black chips and white chips. A person selects two chips without replacement. If the probability of selecting a black chip and white chip is 16/25 and the probability of selecting a black chip on the first draw is 3 /10, find the probability the white chip on the second draw, given that the first chip selected was a black chip.

10-   6 % of all radios manufactured are defective, find the probability of selecting two radios in a row that are defective.  P (d1 and d2)

11- Cuny ID last digit even 2,4,6,8,9,0

If 35 % of the people in a community use the emergency room at a hospital one year. Find these probabilities for a sample of 12 people

A ) Exactly 4 used the emergency room ( Formula )

B) At most 4 used the emergency room ( Table )

C ) At least 10 used the emergency room ( Table )

11- Cuny ID last digit odd 1,3,5,7,9,

If 25 % of the people in a community use the emergency room at a hospital one year. Find these probabilities for a sample of 15 people

A) Exactly 5 used the emergency room ( Formula )

B ) At most 3 used the emergency room ( Table )

C ) At least 12 used the emergency room ( table )

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