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AVprozaik [17]
3 years ago
6

Suppose that Smartphone A has 256 MB RAM and 32 GB R OM, and the resolution of its camera is 8 MP; Smart- phone B has 288 MB RAM

and 64 GB R OM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB RAM and 32 GB R OM, and the resolution of its camera is 5 M P . Determine the truth v alue of each of these propositions. a) Smartphone B has the most RAM of these three smart- phones. b) Smartphone C has more R O M o r a higher resolution camera than Smartphone B. c) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A. d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera. e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
Mathematics
1 answer:
Sonbull [250]3 years ago
7 0

Answer:

A.) TRUE

B.) TRUE

C.) FALSE

D.) FALSE

E.) FALSE

Step-by-step explanation:

Given that :

SMARTPHONE A:

RAM : 256 MB

ROM : 32 GB

CAMERA RESOLUTION : 8 MP

SMARTPHONE B:

RAM : 288 MB

ROM : 64 GB

CAMERA RESOLUTION : 4 MP

SMARTPHONE C:

RAM : 128 MB

ROM : 32 GB

CAMERA RESOLUTION : 5 MP

Determine the truth value of each of these propositions.

A) Smartphone B has the most RAM of these three smart- phones.

TRUE ; 288 > (256 and 128)

B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.

C ROM > B ROM = FALSE

C CAMERA RESOLUTION > B camera resolution = TRUE

FALSE or TRUE = TRUE

C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.

RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE

TRUE and TRUE and FALSE = FALSE

d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.

CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE

e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.

1st statement = FALSE

2nd condition = TRUE

FALSE and TRUE

= FALSE

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Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of
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Answer:

a) 0.018

b) 0            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  14.4 in

Standard Deviation, σ = 1 in

We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)

= 1 - P(z \leq 2.1)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%

0.018 is the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected​ men, these men have a mean hip breadth greater than 16.5 in)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(x > 16.5)  

P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)  

= 1 - P(z \leq 23.29)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 1 = 0

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

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