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Hunter-Best [27]
3 years ago
10

Mr.Chang has a bunch of ballons.4/8 of the ballons are red.2/8 of the ballons are blue.What fraction of the ballons are neather

red or blue?
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

The amount that are neither red nor blue are 2/8 or 1/4

Step-by-step explanation:

In order to find this, subtract both fractions from 1.

1 - 2/8 - 4/8

8/8 - 2/8 - 4/8 = 2/8

2/8 can be simplified to 1/4

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Twelvetelephones have just been received at an authorized service center. Fourof these telephones are cellular, four are cordles
kakasveta [241]

Answer:

a) 0.1707

b) 0.4247

Step-by-step explanation:

This is a binomial distribution problem

There are 4 cellular phones, 4 cordless phones and 4 cellular phones.

a) Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 8 phones to be serviced

x = Number of successes required = 4 cordless phones

p = probability of success = probability of a cordless phone amongst the phones to be serviced = 4/12 = (1/3)

q = probability of failure = probability of other phones = 1 - (1/3) = (2/3)

P(X = 4) = ⁸C₄ (1/3)⁴ (2/3)⁸⁻⁴ = 0.1707

b) probability that after servicing eight of these phones, phones of only two of the three types remain to be serviced

This probability is equal to the sum of probabilities that

- exactly 4 cordless phones and others

- exactly 4 corded phones and others

- exactly 4 cellular phones and others

Are serviced,

Minus the probability that

- exactly 4 cordless phones and 4 corded phones

- exactly 4 cordless phones and 4 cellular phones

- exactly 4 cellular phones and 4 corded phones

Are serviced

Probability = 0.1707 + 0.1707 + 0.1707 - 3(0.1707×0.1707) = 0.5121 - 0.087415 = 0.4247

7 0
3 years ago
Read 2 more answers
Let X be an exponential random variable with parameter 2. Find the CDF of X . Express your answer in terms of x using standard n
erastovalidia [21]

Answer:

F(x,\lambda) = 1-e^{2x}     for      x\geq0

and   F(x,\lambda) = 0    for   x

Step-by-step explanation:

Remember that the CDF of an exponental random variable is given by

F(x,\lambda) = \left \{ {{1-e^{\lambda x}  \ \  \ \ \  x\geq 0} \atop {0}  \ \ \ \ \ \  \ \ \ \ \ x

where   \lambda   is the parameter.  In this case    \lambda =  2  so, for this case

F(x,\lambda) = \left \{ {{1-e^{2x}  \ \  \ \ \  x\geq 0} \atop {0}  \ \ \ \ \ \  \ \ \ \ \ x

7 0
3 years ago
2.
nataly862011 [7]
42.51 is the right answer
3 0
3 years ago
The absolute ______ of 2 is 2.<br> 1.) absolute value <br> 2.)sign<br> 3.)opposite
Paul [167]
The absolute value of 2 is 2
8 0
3 years ago
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. Mrs. Nunn pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldst
Novay_Z [31]

Answer:

708 milliliters

Step-by-step explanation:

There are 3 juice boxes and each contain 236 milliliters of juice. So 236 + 236 + 236 = 708

7 0
3 years ago
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