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Likurg_2 [28]
3 years ago
12

Classify the random variables below according to whether they are discrete or continuous.a. The time it takes for a light bulb t

o burn out.b. The number of fish caught during a fishing tournament.c. The number of statistics students now reading a book.d. The number of textbook authors now sitting at a computer.e. The height of a randomly selected giraffe.
Mathematics
1 answer:
kifflom [539]3 years ago
7 0

Answer:

Discrete(b,c and d)

Continuous (a and e)

Step-by-step explanation:

<u>Discrete</u>

Discrete Random variables are variables that can only take on integer values. Therefore the following are discrete variables.

b. The number of fish caught during a fishing tournament. e.g. 6 fishes

c. The number of statistics students now reading a book. e.g. 12 Students

d. The number of textbook authors now sitting at a computer. e.g. 9 Authors

<u>Continuous</u>

Continuous random variables can take on an uncountable number of values.

a. The time it takes for a light bulb to burn out. e.g.178.897 seconds

e. The height of a randomly selected giraffe. e,g 16.67 feet

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Pachacha [2.7K]

Answer:

C

Step-by-step explanation:

Let's check the first condition [y=110, t=0] for all the choices and eliminate:

A)

y = 110e^{7t} - 80\\y = 110e^{0} - 80\\y=30

NO

B)

y = 110 - 80e^{-5t}\\y = 110 - 80e^{0}\\y=30

NO

C)

y = 30 + 80e^{-2t}\\y = 30 + 80e^{0}\\y=110

YES

D)

y = 110 - 80e^{2t}\\y = 110 - 80e^{0}\\y=30

NO

E)

y = 30 - 80e^{-4t}\\y = 30 - 80e^{0}\\y=-50

NO

Note: e^0 = 1

Only C is satisfied. But let's make sure the 2nd condition applies as well.

y = 30 + 80e^{-2t}\\y = 30 + 80e^{-\infty}\\y=30+\frac{80}{e^{\infty}}\\y>>30

Hence, y approaches 30 as t goes to infinity. 2nd condition is satisfied as well.

Answer is C

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4 years ago
HELP ASAP!!!! thank you if you helped!!!
dlinn [17]
It’s D


I did the work on a calculator and eliminated all the other answer choices.
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